diff --git a/BREAKING-CHANGES.md b/BREAKING-CHANGES.md
index bc986a28c..c71dfc246 100644
--- a/BREAKING-CHANGES.md
+++ b/BREAKING-CHANGES.md
@@ -50,6 +50,7 @@ read first.
 | loud | `Expand` of a quotient of factorials | `AngouriBugException` | the expanded polynomial |
 | loud | parsing a `provided` in a parenthesised comma list | `NullReferenceException` | `UnhandledParseException` |
 | loud | `floor(x)`, `ceil(x)`, `ceiling(x)` | `UnrecognizedFunctionParseException` | the functions |
+| loud | `round(x)`, `min(a, b)`, `max(a, b)`, `gcd(a, b)` | `UnrecognizedFunctionParseException` | the functions |
 | loud | the target frameworks | `net7.0;netstandard2.0` | `netstandard2.0;net8.0;net10.0` |
 | **silent** | `abs(x) = c` for a negative `c` | a set of non-solutions | the empty set |
 
@@ -1291,6 +1292,29 @@ throw. `Simplify` was never affected — it answered `1 + x` throughout.
 
 Issue [#817](https://github.com/asc-community/AngouriMath/issues/817).
 
+### `round`, `min`, `max` and `gcd` exist, so they no longer raise
+
+```csharp
+"round(5/2)".ToEntity().Simplify();   // was UnrecognizedFunctionParseException, is 2
+"min(3, 5)".ToEntity().Simplify();    // was UnrecognizedFunctionParseException, is 3
+"gcd(1/2, 1/3)".ToEntity().Simplify();// was UnrecognizedFunctionParseException, is 1/6
+```
+
+**`round` is half to even**, which is what Python, SymPy, Mathematica and IEEE 754 all mean by
+rounding, and what .NET's `Math.Round` does by default: `round(1/2)` is `0`, `round(5/2)` is `2`.
+It is deliberately **not** `floor(x + 1/2)`, which disagrees at every tie, and there is a test
+pinning that they differ.
+
+`min`, `max` and `gcd` take any number of arguments and fold, so `min(3, 5, 1)` is `1`. `min` and
+`max` compare only where the arguments are ordered — an unordered pair is left as the node rather
+than guessed at, as SymPy's `Min` does. `gcd` covers integers and rationals, `gcd(1/2, 1/3)` being
+`1/6` exactly as SymPy gives; the polynomial case is left unevaluated for now even though this
+library computes polynomial gcds elsewhere.
+
+`trunc`, `lcm`, `erf` and `conjugate` are still refused by name.
+
+Issue [#809](https://github.com/asc-community/AngouriMath/issues/809).
+
 ### `floor` and `ceil` exist, so they no longer raise
 
 ```csharp
diff --git a/Sources/.editorconfig b/Sources/.editorconfig
index 849f1b983..5ba88dd3d 100644
--- a/Sources/.editorconfig
+++ b/Sources/.editorconfig
@@ -32,5 +32,5 @@ file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed
 
 # A new file in a directory whose other files predate it, so the section is on the file
 # rather than the folder.
-[AngouriMath/Core/Entity/Continuous/Entity.Continuous.Floors.Classes.cs]
+[AngouriMath/Core/Entity/Continuous/Entity.Continuous.{Floors,Rounding}.Classes.cs]
 file_header_template=\nCopyright (c) 2019-2026 Angouri.\nAngouriMath is licensed under MIT.\nDetails: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.\nWebsite: https://am.angouri.org.\n
diff --git a/Sources/AngouriMath/Convenience/MathS.cs b/Sources/AngouriMath/Convenience/MathS.cs
index 490f578f1..46093165a 100644
--- a/Sources/AngouriMath/Convenience/MathS.cs
+++ b/Sources/AngouriMath/Convenience/MathS.cs
@@ -1030,6 +1030,72 @@ public static Integer GreatestCommonDivisor(Integer a, Integer b)
         [MethodImpl(MethodImplOptions.AggressiveInlining)]
         public static Entity Ceil(Entity a) => new Ceilf(a);
 
+        /// <summary>
+        /// The nearest integer to <paramref name="a"/>, a tie going to the even one.
+        /// </summary>
+        /// <param name="a">The argument to round.</param>
+        /// <returns>The rounded argument.</returns>
+        /// <remarks>
+        /// Half to even, as Python, SymPy, Mathematica and IEEE 754 all round: <c>round(1/2)</c>
+        /// is <c>0</c> and <c>round(3/2)</c> is <c>2</c>. It is therefore <b>not</b>
+        /// <c>floor(x + 1/2)</c>, which differs at every tie.
+        /// </remarks>
+        /// <example>
+        /// <code>
+        /// using System;
+        /// using static AngouriMath.MathS;
+        ///
+        /// Console.WriteLine(Round("1/2").Simplify());
+        /// Console.WriteLine(Round("3/2").Simplify());
+        /// Console.WriteLine(Round("5/2").Simplify());
+        /// </code>
+        /// Prints
+        /// <code>
+        /// 0
+        /// 2
+        /// 2
+        /// </code>
+        /// </example>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static Entity Round(Entity a) => new Roundf(a);
+
+        /// <summary>
+        /// The lesser of <paramref name="a"/> and <paramref name="b"/>.
+        /// </summary>
+        /// <param name="a">The first argument.</param>
+        /// <param name="b">The second argument.</param>
+        /// <returns>Whichever is smaller, or the unevaluated node where they cannot be compared.</returns>
+        /// <remarks>
+        /// Only ordered arguments compare, so a complex one is left alone rather than
+        /// guessed at. For more than two, nest: <c>Min(Min(a, b), c)</c>.
+        /// </remarks>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static Entity Min(Entity a, Entity b) => new Minf(a, b);
+
+        /// <summary>
+        /// The greater of <paramref name="a"/> and <paramref name="b"/>.
+        /// </summary>
+        /// <param name="a">The first argument.</param>
+        /// <param name="b">The second argument.</param>
+        /// <returns>Whichever is larger, or the unevaluated node where they cannot be compared.</returns>
+        /// <remarks>See <see cref="Min(Entity, Entity)"/>.</remarks>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static Entity Max(Entity a, Entity b) => new Maxf(a, b);
+
+        /// <summary>
+        /// The greatest common divisor of <paramref name="a"/> and <paramref name="b"/>.
+        /// </summary>
+        /// <param name="a">The first argument.</param>
+        /// <param name="b">The second argument.</param>
+        /// <returns>The gcd where it can be computed, the unevaluated node otherwise.</returns>
+        /// <remarks>
+        /// Integers and rationals are computed — <c>gcd(1/2, 1/3)</c> is <c>1/6</c>, as
+        /// SymPy gives. The polynomial case is left unevaluated for now, though this library
+        /// does compute polynomial gcds elsewhere.
+        /// </remarks>
+        [MethodImpl(MethodImplOptions.AggressiveInlining)]
+        public static Entity Gcd(Entity a, Entity b) => new Gcdf(a, b);
+
         /// <summary>Boolean negation
         /// <a href="https://en.wikipedia.org/wiki/Negation">Wikipedia</a></summary>
         /// <param name="a">Argument node of which Negation function will be taken</param>
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.g b/Sources/AngouriMath/Core/Antlr/AngouriMath.g
index 14f86da08..d2f2a2de5 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.g
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.g
@@ -412,17 +412,19 @@ atom returns[Entity value]
     /* SymPy's spelling, accepted so that an expression copied from there parses. Stringize
        prints the short form, which is what the round-trip test pins. */
     | 'ceiling(' args = function_arguments ')' { Assert("ceiling", 1, $args.list.Count); $value = MathS.Ceil($args.list[0]); }
+    | 'round(' args = function_arguments ')' { Assert("round", 1, $args.list.Count); $value = MathS.Round($args.list[0]); }
+    /* min and max take any number of arguments, as they do everywhere else, and fold left
+       into the binary node. One argument is that argument. */
+    | 'min(' args = function_arguments ')' { AssertAtLeast("min", 1, $args.list.Count); $value = $args.list.Aggregate((a, b) => MathS.Min(a, b)); }
+    | 'max(' args = function_arguments ')' { AssertAtLeast("max", 1, $args.list.Count); $value = $args.list.Aggregate((a, b) => MathS.Max(a, b)); }
+    | 'gcd(' args = function_arguments ')' { AssertAtLeast("gcd", 1, $args.list.Count); $value = $args.list.Aggregate((a, b) => MathS.Gcd(a, b)); }
 
     /* Names the library does not have. Each is a function every other CAS spells this way, so
        a caller reaches for it, and without these rules each is silently read as a product --
        see NotImplementedFunction above. Refusing is not the feature; it is the difference
        between a missing function and a wrong answer. */
 
-    | 'round(' args = function_arguments ')' { $value = NotImplementedFunction("round", "rounding functions"); }
     | 'trunc(' args = function_arguments ')' { $value = NotImplementedFunction("trunc", "rounding functions"); }
-    | 'min(' args = function_arguments ')' { $value = NotImplementedFunction("min", "minimum or maximum function"); }
-    | 'max(' args = function_arguments ')' { $value = NotImplementedFunction("max", "minimum or maximum function"); }
-    | 'gcd(' args = function_arguments ')' { $value = NotImplementedFunction("gcd", "greatest common divisor as a symbolic function"); }
     | 'lcm(' args = function_arguments ')' { $value = NotImplementedFunction("lcm", "least common multiple as a symbolic function"); }
     | 'erf(' args = function_arguments ')' { $value = NotImplementedFunction("erf", "error function"); }
     | 'conjugate(' args = function_arguments ')' { $value = NotImplementedFunction("conjugate", "complex conjugate as a symbolic function"); }
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
index d20d2a5b0..847ccacd2 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.interp
@@ -132,10 +132,10 @@ null
 'ceil('
 'ceiling('
 'round('
-'trunc('
 'min('
 'max('
 'gcd('
+'trunc('
 'lcm('
 'erf('
 'conjugate('
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
index ea9c4c471..3ef57341c 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMath.tokens
@@ -280,10 +280,10 @@ WS=150
 'ceil('=130
 'ceiling('=131
 'round('=132
-'trunc('=133
-'min('=134
-'max('=135
-'gcd('=136
+'min('=133
+'max('=134
+'gcd('=135
+'trunc('=136
 'lcm('=137
 'erf('=138
 'conjugate('=139
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
index aa563fd70..e237563c9 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.cs
@@ -125,7 +125,7 @@ public AngouriMathLexer(ICharStream input, TextWriter output, TextWriter errorOu
 		"'arcsch('", "'arccosech('", "'acsch('", "'factorial('", "'gamma('", "'derivative('", 
 		"'integral('", "'limit('", "'limitleft('", "'limitright('", "'signum('", 
 		"'sgn('", "'sign('", "'abs('", "'phi('", "'floor('", "'ceil('", "'ceiling('", 
-		"'round('", "'trunc('", "'min('", "'max('", "'gcd('", "'lcm('", "'erf('", 
+		"'round('", "'min('", "'max('", "'gcd('", "'trunc('", "'lcm('", "'erf('", 
 		"'conjugate('", "'domain('", "'piecewise('", "'apply('", "'lambda('"
 	};
 	private static readonly string[] _SymbolicNames = {
@@ -252,8 +252,8 @@ static AngouriMathLexer() {
 		1,126,1,127,1,127,1,127,1,127,1,127,1,128,1,128,1,128,1,128,1,128,1,128,
 		1,128,1,129,1,129,1,129,1,129,1,129,1,129,1,130,1,130,1,130,1,130,1,130,
 		1,130,1,130,1,130,1,130,1,131,1,131,1,131,1,131,1,131,1,131,1,131,1,132,
-		1,132,1,132,1,132,1,132,1,132,1,132,1,133,1,133,1,133,1,133,1,133,1,134,
-		1,134,1,134,1,134,1,134,1,135,1,135,1,135,1,135,1,135,1,136,1,136,1,136,
+		1,132,1,132,1,132,1,132,1,133,1,133,1,133,1,133,1,133,1,134,1,134,1,134,
+		1,134,1,134,1,135,1,135,1,135,1,135,1,135,1,135,1,135,1,136,1,136,1,136,
 		1,136,1,136,1,137,1,137,1,137,1,137,1,137,1,138,1,138,1,138,1,138,1,138,
 		1,138,1,138,1,138,1,138,1,138,1,138,1,139,1,139,1,139,1,139,1,139,1,139,
 		1,139,1,139,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,1,140,
@@ -347,8 +347,8 @@ static AngouriMathLexer() {
 		963,1,0,0,0,237,970,1,0,0,0,239,982,1,0,0,0,241,992,1,0,0,0,243,999,1,
 		0,0,0,245,1010,1,0,0,0,247,1022,1,0,0,0,249,1030,1,0,0,0,251,1035,1,0,
 		0,0,253,1041,1,0,0,0,255,1046,1,0,0,0,257,1051,1,0,0,0,259,1058,1,0,0,
-		0,261,1064,1,0,0,0,263,1073,1,0,0,0,265,1080,1,0,0,0,267,1087,1,0,0,0,
-		269,1092,1,0,0,0,271,1097,1,0,0,0,273,1102,1,0,0,0,275,1107,1,0,0,0,277,
+		0,261,1064,1,0,0,0,263,1073,1,0,0,0,265,1080,1,0,0,0,267,1085,1,0,0,0,
+		269,1090,1,0,0,0,271,1095,1,0,0,0,273,1102,1,0,0,0,275,1107,1,0,0,0,277,
 		1112,1,0,0,0,279,1123,1,0,0,0,281,1131,1,0,0,0,283,1142,1,0,0,0,285,1149,
 		1,0,0,0,287,1161,1,0,0,0,289,1167,1,0,0,0,291,1209,1,0,0,0,293,1221,1,
 		0,0,0,295,1241,1,0,0,0,297,1244,1,0,0,0,299,1280,1,0,0,0,301,1285,1,0,
@@ -542,13 +542,13 @@ static AngouriMathLexer() {
 		5,105,0,0,1067,1068,5,108,0,0,1068,1069,5,105,0,0,1069,1070,5,110,0,0,
 		1070,1071,5,103,0,0,1071,1072,5,40,0,0,1072,262,1,0,0,0,1073,1074,5,114,
 		0,0,1074,1075,5,111,0,0,1075,1076,5,117,0,0,1076,1077,5,110,0,0,1077,1078,
-		5,100,0,0,1078,1079,5,40,0,0,1079,264,1,0,0,0,1080,1081,5,116,0,0,1081,
-		1082,5,114,0,0,1082,1083,5,117,0,0,1083,1084,5,110,0,0,1084,1085,5,99,
-		0,0,1085,1086,5,40,0,0,1086,266,1,0,0,0,1087,1088,5,109,0,0,1088,1089,
-		5,105,0,0,1089,1090,5,110,0,0,1090,1091,5,40,0,0,1091,268,1,0,0,0,1092,
-		1093,5,109,0,0,1093,1094,5,97,0,0,1094,1095,5,120,0,0,1095,1096,5,40,0,
-		0,1096,270,1,0,0,0,1097,1098,5,103,0,0,1098,1099,5,99,0,0,1099,1100,5,
-		100,0,0,1100,1101,5,40,0,0,1101,272,1,0,0,0,1102,1103,5,108,0,0,1103,1104,
+		5,100,0,0,1078,1079,5,40,0,0,1079,264,1,0,0,0,1080,1081,5,109,0,0,1081,
+		1082,5,105,0,0,1082,1083,5,110,0,0,1083,1084,5,40,0,0,1084,266,1,0,0,0,
+		1085,1086,5,109,0,0,1086,1087,5,97,0,0,1087,1088,5,120,0,0,1088,1089,5,
+		40,0,0,1089,268,1,0,0,0,1090,1091,5,103,0,0,1091,1092,5,99,0,0,1092,1093,
+		5,100,0,0,1093,1094,5,40,0,0,1094,270,1,0,0,0,1095,1096,5,116,0,0,1096,
+		1097,5,114,0,0,1097,1098,5,117,0,0,1098,1099,5,110,0,0,1099,1100,5,99,
+		0,0,1100,1101,5,40,0,0,1101,272,1,0,0,0,1102,1103,5,108,0,0,1103,1104,
 		5,99,0,0,1104,1105,5,109,0,0,1105,1106,5,40,0,0,1106,274,1,0,0,0,1107,
 		1108,5,101,0,0,1108,1109,5,114,0,0,1109,1110,5,102,0,0,1110,1111,5,40,
 		0,0,1111,276,1,0,0,0,1112,1113,5,99,0,0,1113,1114,5,111,0,0,1114,1115,
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
index 4d94cb3dc..5e12aa599 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.interp
@@ -132,10 +132,10 @@ null
 'ceil('
 'ceiling('
 'round('
-'trunc('
 'min('
 'max('
 'gcd('
+'trunc('
 'lcm('
 'erf('
 'conjugate('
@@ -465,4 +465,4 @@ mode names:
 DEFAULT_MODE
 
 atn:
-[4, 0, 150, 1291, 6, -1, 2, 0, 7, 0, 2, 1, 7, 1, 2, 2, 7, 2, 2, 3, 7, 3, 2, 4, 7, 4, 2, 5, 7, 5, 2, 6, 7, 6, 2, 7, 7, 7, 2, 8, 7, 8, 2, 9, 7, 9, 2, 10, 7, 10, 2, 11, 7, 11, 2, 12, 7, 12, 2, 13, 7, 13, 2, 14, 7, 14, 2, 15, 7, 15, 2, 16, 7, 16, 2, 17, 7, 17, 2, 18, 7, 18, 2, 19, 7, 19, 2, 20, 7, 20, 2, 21, 7, 21, 2, 22, 7, 22, 2, 23, 7, 23, 2, 24, 7, 24, 2, 25, 7, 25, 2, 26, 7, 26, 2, 27, 7, 27, 2, 28, 7, 28, 2, 29, 7, 29, 2, 30, 7, 30, 2, 31, 7, 31, 2, 32, 7, 32, 2, 33, 7, 33, 2, 34, 7, 34, 2, 35, 7, 35, 2, 36, 7, 36, 2, 37, 7, 37, 2, 38, 7, 38, 2, 39, 7, 39, 2, 40, 7, 40, 2, 41, 7, 41, 2, 42, 7, 42, 2, 43, 7, 43, 2, 44, 7, 44, 2, 45, 7, 45, 2, 46, 7, 46, 2, 47, 7, 47, 2, 48, 7, 48, 2, 49, 7, 49, 2, 50, 7, 50, 2, 51, 7, 51, 2, 52, 7, 52, 2, 53, 7, 53, 2, 54, 7, 54, 2, 55, 7, 55, 2, 56, 7, 56, 2, 57, 7, 57, 2, 58, 7, 58, 2, 59, 7, 59, 2, 60, 7, 60, 2, 61, 7, 61, 2, 62, 7, 62, 2, 63, 7, 63, 2, 64, 7, 64, 2, 65, 7, 65, 2, 66, 7, 66, 2, 67, 7, 67, 2, 68, 7, 68, 2, 69, 7, 69, 2, 70, 7, 70, 2, 71, 7, 71, 2, 72, 7, 72, 2, 73, 7, 73, 2, 74, 7, 74, 2, 75, 7, 75, 2, 76, 7, 76, 2, 77, 7, 77, 2, 78, 7, 78, 2, 79, 7, 79, 2, 80, 7, 80, 2, 81, 7, 81, 2, 82, 7, 82, 2, 83, 7, 83, 2, 84, 7, 84, 2, 85, 7, 85, 2, 86, 7, 86, 2, 87, 7, 87, 2, 88, 7, 88, 2, 89, 7, 89, 2, 90, 7, 90, 2, 91, 7, 91, 2, 92, 7, 92, 2, 93, 7, 93, 2, 94, 7, 94, 2, 95, 7, 95, 2, 96, 7, 96, 2, 97, 7, 97, 2, 98, 7, 98, 2, 99, 7, 99, 2, 100, 7, 100, 2, 101, 7, 101, 2, 102, 7, 102, 2, 103, 7, 103, 2, 104, 7, 104, 2, 105, 7, 105, 2, 106, 7, 106, 2, 107, 7, 107, 2, 108, 7, 108, 2, 109, 7, 109, 2, 110, 7, 110, 2, 111, 7, 111, 2, 112, 7, 112, 2, 113, 7, 113, 2, 114, 7, 114, 2, 115, 7, 115, 2, 116, 7, 116, 2, 117, 7, 117, 2, 118, 7, 118, 2, 119, 7, 119, 2, 120, 7, 120, 2, 121, 7, 121, 2, 122, 7, 122, 2, 123, 7, 123, 2, 124, 7, 124, 2, 125, 7, 125, 2, 126, 7, 126, 2, 127, 7, 127, 2, 128, 7, 128, 2, 129, 7, 129, 2, 130, 7, 130, 2, 131, 7, 131, 2, 132, 7, 132, 2, 133, 7, 133, 2, 134, 7, 134, 2, 135, 7, 135, 2, 136, 7, 136, 2, 137, 7, 137, 2, 138, 7, 138, 2, 139, 7, 139, 2, 140, 7, 140, 2, 141, 7, 141, 2, 142, 7, 142, 2, 143, 7, 143, 2, 144, 7, 144, 2, 145, 7, 145, 2, 146, 7, 146, 2, 147, 7, 147, 2, 148, 7, 148, 2, 149, 7, 149, 2, 150, 7, 150, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 4, 1, 4, 1, 5, 1, 5, 1, 6, 1, 6, 1, 6, 1, 6, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 7, 1, 8, 1, 8, 1, 8, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 9, 1, 10, 1, 10, 1, 10, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 11, 1, 12, 1, 12, 1, 13, 1, 13, 1, 13, 1, 14, 1, 14, 1, 14, 1, 15, 1, 15, 1, 15, 1, 16, 1, 16, 1, 17, 1, 17, 1, 18, 1, 18, 1, 19, 1, 19, 1, 19, 1, 20, 1, 20, 1, 20, 1, 20, 1, 21, 1, 21, 1, 21, 1, 21, 1, 22, 1, 22, 1, 23, 1, 23, 1, 23, 1, 23, 1, 24, 1, 24, 1, 24, 1, 25, 1, 25, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 26, 1, 27, 1, 27, 1, 27, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 28, 1, 29, 1, 29, 1, 30, 1, 30, 1, 31, 1, 31, 1, 32, 1, 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1009, 5, 40, 0, 0, 1009, 244, 1, 0, 0, 0, 1010, 1011, 5, 108, 0, 0, 1011, 1012, 5, 105, 0, 0, 1012, 1013, 5, 109, 0, 0, 1013, 1014, 5, 105, 0, 0, 1014, 1015, 5, 116, 0, 0, 1015, 1016, 5, 114, 0, 0, 1016, 1017, 5, 105, 0, 0, 1017, 1018, 5, 103, 0, 0, 1018, 1019, 5, 104, 0, 0, 1019, 1020, 5, 116, 0, 0, 1020, 1021, 5, 40, 0, 0, 1021, 246, 1, 0, 0, 0, 1022, 1023, 5, 115, 0, 0, 1023, 1024, 5, 105, 0, 0, 1024, 1025, 5, 103, 0, 0, 1025, 1026, 5, 110, 0, 0, 1026, 1027, 5, 117, 0, 0, 1027, 1028, 5, 109, 0, 0, 1028, 1029, 5, 40, 0, 0, 1029, 248, 1, 0, 0, 0, 1030, 1031, 5, 115, 0, 0, 1031, 1032, 5, 103, 0, 0, 1032, 1033, 5, 110, 0, 0, 1033, 1034, 5, 40, 0, 0, 1034, 250, 1, 0, 0, 0, 1035, 1036, 5, 115, 0, 0, 1036, 1037, 5, 105, 0, 0, 1037, 1038, 5, 103, 0, 0, 1038, 1039, 5, 110, 0, 0, 1039, 1040, 5, 40, 0, 0, 1040, 252, 1, 0, 0, 0, 1041, 1042, 5, 97, 0, 0, 1042, 1043, 5, 98, 0, 0, 1043, 1044, 5, 115, 0, 0, 1044, 1045, 5, 40, 0, 0, 1045, 254, 1, 0, 0, 0, 1046, 1047, 5, 112, 0, 0, 1047, 1048, 5, 104, 0, 0, 1048, 1049, 5, 105, 0, 0, 1049, 1050, 5, 40, 0, 0, 1050, 256, 1, 0, 0, 0, 1051, 1052, 5, 102, 0, 0, 1052, 1053, 5, 108, 0, 0, 1053, 1054, 5, 111, 0, 0, 1054, 1055, 5, 111, 0, 0, 1055, 1056, 5, 114, 0, 0, 1056, 1057, 5, 40, 0, 0, 1057, 258, 1, 0, 0, 0, 1058, 1059, 5, 99, 0, 0, 1059, 1060, 5, 101, 0, 0, 1060, 1061, 5, 105, 0, 0, 1061, 1062, 5, 108, 0, 0, 1062, 1063, 5, 40, 0, 0, 1063, 260, 1, 0, 0, 0, 1064, 1065, 5, 99, 0, 0, 1065, 1066, 5, 101, 0, 0, 1066, 1067, 5, 105, 0, 0, 1067, 1068, 5, 108, 0, 0, 1068, 1069, 5, 105, 0, 0, 1069, 1070, 5, 110, 0, 0, 1070, 1071, 5, 103, 0, 0, 1071, 1072, 5, 40, 0, 0, 1072, 262, 1, 0, 0, 0, 1073, 1074, 5, 114, 0, 0, 1074, 1075, 5, 111, 0, 0, 1075, 1076, 5, 117, 0, 0, 1076, 1077, 5, 110, 0, 0, 1077, 1078, 5, 100, 0, 0, 1078, 1079, 5, 40, 0, 0, 1079, 264, 1, 0, 0, 0, 1080, 1081, 5, 109, 0, 0, 1081, 1082, 5, 105, 0, 0, 1082, 1083, 5, 110, 0, 0, 1083, 1084, 5, 40, 0, 0, 1084, 266, 1, 0, 0, 0, 1085, 1086, 5, 109, 0, 0, 1086, 1087, 5, 97, 0, 0, 1087, 1088, 5, 120, 0, 0, 1088, 1089, 5, 40, 0, 0, 1089, 268, 1, 0, 0, 0, 1090, 1091, 5, 103, 0, 0, 1091, 1092, 5, 99, 0, 0, 1092, 1093, 5, 100, 0, 0, 1093, 1094, 5, 40, 0, 0, 1094, 270, 1, 0, 0, 0, 1095, 1096, 5, 116, 0, 0, 1096, 1097, 5, 114, 0, 0, 1097, 1098, 5, 117, 0, 0, 1098, 1099, 5, 110, 0, 0, 1099, 1100, 5, 99, 0, 0, 1100, 1101, 5, 40, 0, 0, 1101, 272, 1, 0, 0, 0, 1102, 1103, 5, 108, 0, 0, 1103, 1104, 5, 99, 0, 0, 1104, 1105, 5, 109, 0, 0, 1105, 1106, 5, 40, 0, 0, 1106, 274, 1, 0, 0, 0, 1107, 1108, 5, 101, 0, 0, 1108, 1109, 5, 114, 0, 0, 1109, 1110, 5, 102, 0, 0, 1110, 1111, 5, 40, 0, 0, 1111, 276, 1, 0, 0, 0, 1112, 1113, 5, 99, 0, 0, 1113, 1114, 5, 111, 0, 0, 1114, 1115, 5, 110, 0, 0, 1115, 1116, 5, 106, 0, 0, 1116, 1117, 5, 117, 0, 0, 1117, 1118, 5, 103, 0, 0, 1118, 1119, 5, 97, 0, 0, 1119, 1120, 5, 116, 0, 0, 1120, 1121, 5, 101, 0, 0, 1121, 1122, 5, 40, 0, 0, 1122, 278, 1, 0, 0, 0, 1123, 1124, 5, 100, 0, 0, 1124, 1125, 5, 111, 0, 0, 1125, 1126, 5, 109, 0, 0, 1126, 1127, 5, 97, 0, 0, 1127, 1128, 5, 105, 0, 0, 1128, 1129, 5, 110, 0, 0, 1129, 1130, 5, 40, 0, 0, 1130, 280, 1, 0, 0, 0, 1131, 1132, 5, 112, 0, 0, 1132, 1133, 5, 105, 0, 0, 1133, 1134, 5, 101, 0, 0, 1134, 1135, 5, 99, 0, 0, 1135, 1136, 5, 101, 0, 0, 1136, 1137, 5, 119, 0, 0, 1137, 1138, 5, 105, 0, 0, 1138, 1139, 5, 115, 0, 0, 1139, 1140, 5, 101, 0, 0, 1140, 1141, 5, 40, 0, 0, 1141, 282, 1, 0, 0, 0, 1142, 1143, 5, 97, 0, 0, 1143, 1144, 5, 112, 0, 0, 1144, 1145, 5, 112, 0, 0, 1145, 1146, 5, 108, 0, 0, 1146, 1147, 5, 121, 0, 0, 1147, 1148, 5, 40, 0, 0, 1148, 284, 1, 0, 0, 0, 1149, 1150, 5, 108, 0, 0, 1150, 1151, 5, 97, 0, 0, 1151, 1152, 5, 109, 0, 0, 1152, 1153, 5, 98, 0, 0, 1153, 1154, 5, 100, 0, 0, 1154, 1155, 5, 97, 0, 0, 1155, 1156, 5, 40, 0, 0, 1156, 286, 1, 0, 0, 0, 1157, 1159, 5, 13, 0, 0, 1158, 1157, 1, 0, 0, 0, 1158, 1159, 1, 0, 0, 0, 1159, 1160, 1, 0, 0, 0, 1160, 1162, 5, 10, 0, 0, 1161, 1158, 1, 0, 0, 0, 1162, 1163, 1, 0, 0, 0, 1163, 1161, 1, 0, 0, 0, 1163, 1164, 1, 0, 0, 0, 1164, 1165, 1, 0, 0, 0, 1165, 1166, 6, 143, 0, 0, 1166, 288, 1, 0, 0, 0, 1167, 1169, 7, 0, 0, 0, 1168, 1170, 7, 1, 0, 0, 1169, 1168, 1, 0, 0, 0, 1169, 1170, 1, 0, 0, 0, 1170, 1172, 1, 0, 0, 0, 1171, 1173, 2, 48, 57, 0, 1172, 1171, 1, 0, 0, 0, 1173, 1174, 1, 0, 0, 0, 1174, 1172, 1, 0, 0, 0, 1174, 1175, 1, 0, 0, 0, 1175, 290, 1, 0, 0, 0, 1176, 1178, 2, 48, 57, 0, 1177, 1176, 1, 0, 0, 0, 1178, 1179, 1, 0, 0, 0, 1179, 1177, 1, 0, 0, 0, 1179, 1180, 1, 0, 0, 0, 1180, 1181, 1, 0, 0, 0, 1181, 1185, 5, 46, 0, 0, 1182, 1184, 2, 48, 57, 0, 1183, 1182, 1, 0, 0, 0, 1184, 1187, 1, 0, 0, 0, 1185, 1183, 1, 0, 0, 0, 1185, 1186, 1, 0, 0, 0, 1186, 1189, 1, 0, 0, 0, 1187, 1185, 1, 0, 0, 0, 1188, 1190, 3, 289, 144, 0, 1189, 1188, 1, 0, 0, 0, 1189, 1190, 1, 0, 0, 0, 1190, 1192, 1, 0, 0, 0, 1191, 1193, 5, 105, 0, 0, 1192, 1191, 1, 0, 0, 0, 1192, 1193, 1, 0, 0, 0, 1193, 1210, 1, 0, 0, 0, 1194, 1196, 5, 46, 0, 0, 1195, 1194, 1, 0, 0, 0, 1195, 1196, 1, 0, 0, 0, 1196, 1198, 1, 0, 0, 0, 1197, 1199, 2, 48, 57, 0, 1198, 1197, 1, 0, 0, 0, 1199, 1200, 1, 0, 0, 0, 1200, 1198, 1, 0, 0, 0, 1200, 1201, 1, 0, 0, 0, 1201, 1203, 1, 0, 0, 0, 1202, 1204, 3, 289, 144, 0, 1203, 1202, 1, 0, 0, 0, 1203, 1204, 1, 0, 0, 0, 1204, 1206, 1, 0, 0, 0, 1205, 1207, 5, 105, 0, 0, 1206, 1205, 1, 0, 0, 0, 1206, 1207, 1, 0, 0, 0, 1207, 1210, 1, 0, 0, 0, 1208, 1210, 5, 105, 0, 0, 1209, 1177, 1, 0, 0, 0, 1209, 1195, 1, 0, 0, 0, 1209, 1208, 1, 0, 0, 0, 1210, 292, 1, 0, 0, 0, 1211, 1212, 5, 67, 0, 0, 1212, 1222, 5, 67, 0, 0, 1213, 1214, 5, 82, 0, 0, 1214, 1222, 5, 82, 0, 0, 1215, 1216, 5, 81, 0, 0, 1216, 1222, 5, 81, 0, 0, 1217, 1218, 5, 90, 0, 0, 1218, 1222, 5, 90, 0, 0, 1219, 1220, 5, 66, 0, 0, 1220, 1222, 5, 66, 0, 0, 1221, 1211, 1, 0, 0, 0, 1221, 1213, 1, 0, 0, 0, 1221, 1215, 1, 0, 0, 0, 1221, 1217, 1, 0, 0, 0, 1221, 1219, 1, 0, 0, 0, 1222, 294, 1, 0, 0, 0, 1223, 1224, 5, 116, 0, 0, 1224, 1225, 5, 114, 0, 0, 1225, 1226, 5, 117, 0, 0, 1226, 1242, 5, 101, 0, 0, 1227, 1228, 5, 84, 0, 0, 1228, 1229, 5, 114, 0, 0, 1229, 1230, 5, 117, 0, 0, 1230, 1242, 5, 101, 0, 0, 1231, 1232, 5, 102, 0, 0, 1232, 1233, 5, 97, 0, 0, 1233, 1234, 5, 108, 0, 0, 1234, 1235, 5, 115, 0, 0, 1235, 1242, 5, 101, 0, 0, 1236, 1237, 5, 70, 0, 0, 1237, 1238, 5, 97, 0, 0, 1238, 1239, 5, 108, 0, 0, 1239, 1240, 5, 115, 0, 0, 1240, 1242, 5, 101, 0, 0, 1241, 1223, 1, 0, 0, 0, 1241, 1227, 1, 0, 0, 0, 1241, 1231, 1, 0, 0, 0, 1241, 1236, 1, 0, 0, 0, 1242, 296, 1, 0, 0, 0, 1243, 1245, 7, 2, 0, 0, 1244, 1243, 1, 0, 0, 0, 1245, 1246, 1, 0, 0, 0, 1246, 1244, 1, 0, 0, 0, 1246, 1247, 1, 0, 0, 0, 1247, 1254, 1, 0, 0, 0, 1248, 1250, 5, 95, 0, 0, 1249, 1251, 7, 3, 0, 0, 1250, 1249, 1, 0, 0, 0, 1251, 1252, 1, 0, 0, 0, 1252, 1250, 1, 0, 0, 0, 1252, 1253, 1, 0, 0, 0, 1253, 1255, 1, 0, 0, 0, 1254, 1248, 1, 0, 0, 0, 1254, 1255, 1, 0, 0, 0, 1255, 298, 1, 0, 0, 0, 1256, 1257, 5, 47, 0, 0, 1257, 1258, 5, 47, 0, 0, 1258, 1262, 1, 0, 0, 0, 1259, 1261, 8, 4, 0, 0, 1260, 1259, 1, 0, 0, 0, 1261, 1264, 1, 0, 0, 0, 1262, 1260, 1, 0, 0, 0, 1262, 1263, 1, 0, 0, 0, 1263, 1266, 1, 0, 0, 0, 1264, 1262, 1, 0, 0, 0, 1265, 1267, 5, 13, 0, 0, 1266, 1265, 1, 0, 0, 0, 1266, 1267, 1, 0, 0, 0, 1267, 1268, 1, 0, 0, 0, 1268, 1281, 5, 10, 0, 0, 1269, 1270, 5, 47, 0, 0, 1270, 1271, 5, 42, 0, 0, 1271, 1275, 1, 0, 0, 0, 1272, 1274, 9, 0, 0, 0, 1273, 1272, 1, 0, 0, 0, 1274, 1277, 1, 0, 0, 0, 1275, 1276, 1, 0, 0, 0, 1275, 1273, 1, 0, 0, 0, 1276, 1278, 1, 0, 0, 0, 1277, 1275, 1, 0, 0, 0, 1278, 1279, 5, 42, 0, 0, 1279, 1281, 5, 47, 0, 0, 1280, 1256, 1, 0, 0, 0, 1280, 1269, 1, 0, 0, 0, 1281, 1282, 1, 0, 0, 0, 1282, 1283, 6, 149, 0, 0, 1283, 300, 1, 0, 0, 0, 1284, 1286, 7, 5, 0, 0, 1285, 1284, 1, 0, 0, 0, 1286, 1287, 1, 0, 0, 0, 1287, 1285, 1, 0, 0, 0, 1287, 1288, 1, 0, 0, 0, 1288, 1289, 1, 0, 0, 0, 1289, 1290, 6, 150, 0, 0, 1290, 302, 1, 0, 0, 0, 24, 0, 1158, 1163, 1169, 1174, 1179, 1185, 1189, 1192, 1195, 1200, 1203, 1206, 1209, 1221, 1241, 1246, 1252, 1254, 1262, 1266, 1275, 1280, 1287, 1, 6, 0, 0]
\ No newline at end of file
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens
index ea9c4c471..3ef57341c 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathLexer.tokens
@@ -280,10 +280,10 @@ WS=150
 'ceil('=130
 'ceiling('=131
 'round('=132
-'trunc('=133
-'min('=134
-'max('=135
-'gcd('=136
+'min('=133
+'max('=134
+'gcd('=135
+'trunc('=136
 'lcm('=137
 'erf('=138
 'conjugate('=139
diff --git a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
index 23ea8b798..c971fba09 100644
--- a/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
+++ b/Sources/AngouriMath/Core/Antlr/AngouriMathParser.cs
@@ -107,7 +107,7 @@ public const int
 		"'arcsch('", "'arccosech('", "'acsch('", "'factorial('", "'gamma('", "'derivative('", 
 		"'integral('", "'limit('", "'limitleft('", "'limitright('", "'signum('", 
 		"'sgn('", "'sign('", "'abs('", "'phi('", "'floor('", "'ceil('", "'ceiling('", 
-		"'round('", "'trunc('", "'min('", "'max('", "'gcd('", "'lcm('", "'erf('", 
+		"'round('", "'min('", "'max('", "'gcd('", "'trunc('", "'lcm('", "'erf('", 
 		"'conjugate('", "'domain('", "'piecewise('", "'apply('", "'lambda('"
 	};
 	private static readonly string[] _SymbolicNames = {
@@ -3100,7 +3100,7 @@ public AtomContext atom() {
 				_localctx.args = function_arguments();
 				State = 821;
 				Match(T__40);
-				 _localctx.value =  NotImplementedFunction("round", "rounding functions"); 
+				 Assert("round", 1, _localctx.args.list.Count); _localctx.value =  MathS.Round(_localctx.args.list[0]); 
 				}
 				break;
 			case 106:
@@ -3112,7 +3112,7 @@ public AtomContext atom() {
 				_localctx.args = function_arguments();
 				State = 826;
 				Match(T__40);
-				 _localctx.value =  NotImplementedFunction("trunc", "rounding functions"); 
+				 AssertAtLeast("min", 1, _localctx.args.list.Count); _localctx.value =  _localctx.args.list.Aggregate((a, b) => MathS.Min(a, b)); 
 				}
 				break;
 			case 107:
@@ -3124,7 +3124,7 @@ public AtomContext atom() {
 				_localctx.args = function_arguments();
 				State = 831;
 				Match(T__40);
-				 _localctx.value =  NotImplementedFunction("min", "minimum or maximum function"); 
+				 AssertAtLeast("max", 1, _localctx.args.list.Count); _localctx.value =  _localctx.args.list.Aggregate((a, b) => MathS.Max(a, b)); 
 				}
 				break;
 			case 108:
@@ -3136,7 +3136,7 @@ public AtomContext atom() {
 				_localctx.args = function_arguments();
 				State = 836;
 				Match(T__40);
-				 _localctx.value =  NotImplementedFunction("max", "minimum or maximum function"); 
+				 AssertAtLeast("gcd", 1, _localctx.args.list.Count); _localctx.value =  _localctx.args.list.Aggregate((a, b) => MathS.Gcd(a, b)); 
 				}
 				break;
 			case 109:
@@ -3148,7 +3148,7 @@ public AtomContext atom() {
 				_localctx.args = function_arguments();
 				State = 841;
 				Match(T__40);
-				 _localctx.value =  NotImplementedFunction("gcd", "greatest common divisor as a symbolic function"); 
+				 _localctx.value =  NotImplementedFunction("trunc", "rounding functions"); 
 				}
 				break;
 			case 110:
diff --git a/Sources/AngouriMath/Core/Domains.Classes.cs b/Sources/AngouriMath/Core/Domains.Classes.cs
index 982f4bbf7..c607db54f 100644
--- a/Sources/AngouriMath/Core/Domains.Classes.cs
+++ b/Sources/AngouriMath/Core/Domains.Classes.cs
@@ -215,6 +215,31 @@ partial record Ceilf
             public override Domain Codomain { get; protected init; } = Domain.Complex;
         }
 
+        partial record Roundf
+        {
+            /// <inheritdoc/>
+            public override Domain Codomain { get; protected init; } = Domain.Complex;
+        }
+
+        partial record Minf
+        {
+            // Only ordered arguments compare, so the value is real wherever there is one.
+            /// <inheritdoc/>
+            public override Domain Codomain { get; protected init; } = Domain.Real;
+        }
+
+        partial record Maxf
+        {
+            /// <inheritdoc/>
+            public override Domain Codomain { get; protected init; } = Domain.Real;
+        }
+
+        partial record Gcdf
+        {
+            /// <inheritdoc/>
+            public override Domain Codomain { get; protected init; } = Domain.Complex;
+        }
+
         partial record Boolean
         {
             /// <inheritdoc/>
diff --git a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs
index 3e58b7d80..29f579e42 100644
--- a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs
+++ b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Definition.cs
@@ -131,5 +131,13 @@ public abstract partial record CalculusOperator(Entity Expression, Entity Var) :
         public Entity Floor() => new Floorf(this);
         /// <summary><see cref="MathS.Ceil(Entity)"/></summary>
         public Entity Ceil() => new Ceilf(this);
+        /// <summary><see cref="MathS.Round(Entity)"/></summary>
+        public Entity Round() => new Roundf(this);
+        /// <summary><see cref="MathS.Min(Entity, Entity)"/></summary>
+        public Entity Min(Entity another) => new Minf(this, another);
+        /// <summary><see cref="MathS.Max(Entity, Entity)"/></summary>
+        public Entity Max(Entity another) => new Maxf(this, another);
+        /// <summary><see cref="MathS.Gcd(Entity, Entity)"/></summary>
+        public Entity Gcd(Entity another) => new Gcdf(this, another);
     }
 }
diff --git a/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Rounding.Classes.cs b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Rounding.Classes.cs
new file mode 100644
index 000000000..147dcb921
--- /dev/null
+++ b/Sources/AngouriMath/Core/Entity/Continuous/Entity.Continuous.Rounding.Classes.cs
@@ -0,0 +1,104 @@
+//
+// Copyright (c) 2019-2026 Angouri.
+// AngouriMath is licensed under MIT.
+// Details: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.
+// Website: https://am.angouri.org.
+//
+
+using System;
+
+namespace AngouriMath
+{
+    partial record Entity
+    {
+#pragma warning disable CS1591  // only while records' parameters cannot be documented
+        /// <summary>
+        /// A node of round: the nearest integer, with a tie going to the even one.
+        /// </summary>
+        /// <remarks>
+        /// Half to even, which is what Python, SymPy, Mathematica and IEEE 754 all do — and
+        /// what .NET's <c>Math.Round</c> does by default, though not what most people expect
+        /// of it. So <c>round(1/2)</c> is <c>0</c> and <c>round(3/2)</c> is <c>2</c>, and it
+        /// is <b>not</b> <c>floor(x + 1/2)</c>, which differs at every tie.
+        /// </remarks>
+        public sealed partial record Roundf(Entity Argument) : Function, IUnaryNode
+        {
+            public Entity NodeChild => Argument;
+
+            private Roundf New(Entity arg) =>
+                ReferenceEquals(Argument, arg) ? this : new(arg);
+            /// <inheritdoc/>
+            public override Entity Replace(Func<Entity, Entity> func) => func(New(Argument.Replace(func)));
+            /// <inheritdoc/>
+            protected override Entity[] InitDirectChildren() => new[] { Argument };
+        }
+
+        /// <summary>
+        /// A node of min: the lesser of its two arguments.
+        /// </summary>
+        /// <remarks>
+        /// A node rather than sugar over <c>(a + b - abs(a - b)) / 2</c>. The closed form is
+        /// what this simplifies <i>to</i> where that helps; it is not what it should print
+        /// as, and the round-trip contract would make that permanent. SymPy keeps
+        /// <c>Min</c> as a node for the same reason.
+        /// Only ordered arguments compare, so a complex one is left alone rather than
+        /// guessed at.
+        /// </remarks>
+        public sealed partial record Minf(Entity Left, Entity Right) : Function, IBinaryNode
+        {
+            public Entity NodeFirstChild => Left;
+
+            public Entity NodeSecondChild => Right;
+
+            private Minf New(Entity left, Entity right) =>
+                ReferenceEquals(Left, left) && ReferenceEquals(Right, right) ? this : new(left, right);
+            /// <inheritdoc/>
+            public override Entity Replace(Func<Entity, Entity> func) => func(New(Left.Replace(func), Right.Replace(func)));
+            /// <inheritdoc/>
+            protected override Entity[] InitDirectChildren() => new[] { Left, Right };
+        }
+
+        /// <summary>
+        /// A node of max: the greater of its two arguments.
+        /// </summary>
+        /// <remarks>See <see cref="Minf"/> for why this is a node.</remarks>
+        public sealed partial record Maxf(Entity Left, Entity Right) : Function, IBinaryNode
+        {
+            public Entity NodeFirstChild => Left;
+
+            public Entity NodeSecondChild => Right;
+
+            private Maxf New(Entity left, Entity right) =>
+                ReferenceEquals(Left, left) && ReferenceEquals(Right, right) ? this : new(left, right);
+            /// <inheritdoc/>
+            public override Entity Replace(Func<Entity, Entity> func) => func(New(Left.Replace(func), Right.Replace(func)));
+            /// <inheritdoc/>
+            protected override Entity[] InitDirectChildren() => new[] { Left, Right };
+        }
+
+        /// <summary>
+        /// A node of gcd: the greatest common divisor of its two arguments.
+        /// </summary>
+        /// <remarks>
+        /// Not integers only. SymPy's <c>gcd</c> is the polynomial gcd with the integer case
+        /// as a special case, and this library already computes one — see
+        /// <see cref="AngouriMath.Functions.PolynomialGcd"/>, which the
+        /// <c>PolynomialGcdCancellation</c> rule set uses. What cannot be settled is left as
+        /// this node rather than guessed at.
+        /// </remarks>
+        public sealed partial record Gcdf(Entity Left, Entity Right) : Function, IBinaryNode
+        {
+            public Entity NodeFirstChild => Left;
+
+            public Entity NodeSecondChild => Right;
+
+            private Gcdf New(Entity left, Entity right) =>
+                ReferenceEquals(Left, left) && ReferenceEquals(Right, right) ? this : new(left, right);
+            /// <inheritdoc/>
+            public override Entity Replace(Func<Entity, Entity> func) => func(New(Left.Replace(func), Right.Replace(func)));
+            /// <inheritdoc/>
+            protected override Entity[] InitDirectChildren() => new[] { Left, Right };
+        }
+#pragma warning restore CS1591  // only while records' parameters cannot be documented
+    }
+}
diff --git a/Sources/AngouriMath/Core/Exceptions/ParseException.cs b/Sources/AngouriMath/Core/Exceptions/ParseException.cs
index e995b181a..5ee3b71a2 100644
--- a/Sources/AngouriMath/Core/Exceptions/ParseException.cs
+++ b/Sources/AngouriMath/Core/Exceptions/ParseException.cs
@@ -81,5 +81,15 @@ internal static bool Assert(string function, (int, int) expected, int actual)
             throw new FunctionArgumentCountException(
                 $"{function} should have exactly {CountArguments(expected.Item1, false)} or {CountArguments(expected.Item2, false)} but {CountArguments(actual, true)} provided");
         }
+        /// <summary>
+        /// For the functions that take any number of arguments and fold over them —
+        /// <c>min</c>, <c>max</c> and <c>gcd</c>, which have no fixed arity anywhere else
+        /// either.
+        /// </summary>
+        internal static void AssertAtLeast(string function, int least, int actual)
+        {
+            if (actual < least) throw new FunctionArgumentCountException(
+                $"{function} should have at least {CountArguments(least, false)} but {CountArguments(actual, true)} provided");
+        }
     }
 }
diff --git a/Sources/AngouriMath/Functions/Continuous/Differentiation.cs b/Sources/AngouriMath/Functions/Continuous/Differentiation.cs
index f8a465ec5..4c0673c0a 100644
--- a/Sources/AngouriMath/Functions/Continuous/Differentiation.cs
+++ b/Sources/AngouriMath/Functions/Continuous/Differentiation.cs
@@ -360,6 +360,15 @@ protected override Entity InnerDifferentiate(Variable variable)
                 => Integer.Zero.Provided(!Argument.In(MathS.Sets.Z));
         }
 
+        partial record Roundf
+        {
+            // Flat between the half-integers and discontinuous at each of them -- round
+            // jumps where the argument is exactly a half, not where it is an integer.
+            /// <inheritdoc/>
+            protected override Entity InnerDifferentiate(Variable variable)
+                => Integer.Zero.Provided(!(Argument - Rational.Create(1, 2)).In(MathS.Sets.Z));
+        }
+
         partial record Providedf
         {
             /// <inheritdoc/>
diff --git a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
index 044692da2..c23be9bd1 100644
--- a/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
+++ b/Sources/AngouriMath/Functions/Continuous/Solvers/EquationSolver/InvertNode.Classes.cs
@@ -309,6 +309,49 @@ private protected override IEnumerable<Entity> InvertNode(Entity value, Entity x
             }
         }
 
+        partial record Roundf
+        {
+            // round(f(x)) = value, solvable only for integer value, and then f(x) lies in
+            // [value - 1/2, value + 1/2] -- closed at whichever end keeps the tie going to
+            // the even integer, which depends on the parity of value. Rather than encode
+            // that, the parameter covers the open interval and the two endpoints are left
+            // out: every point named is a solution, which is the direction that matters.
+            private protected override IEnumerable<Entity> InvertNode(Entity value, Entity x)
+            {
+                var t = Variable.CreateUnique(value + Argument, "t");
+                return Argument.Invert(value + t, x)
+                    .Select(c => c.Provided(
+                        value.In(MathS.Sets.Z)
+                        & t.In(MathS.Sets.R)
+                        & new Greaterf(t, Rational.Create(-1, 2))
+                        & new Lessf(t, Rational.Create(1, 2))));
+            }
+        }
+
+        partial record Minf
+        {
+            // min(a, b) = value says one of them is value and the other is no smaller, which
+            // is a disjunction over which one it was rather than an inversion of a function
+            // of x. Nothing here can express that, and inventing a branch would answer
+            // confidently and wrongly, so this declines the way Factorialf and Phif do.
+            private protected override IEnumerable<Entity> InvertNode(Entity value, Entity x)
+                => Enumerable.Empty<Entity>();
+        }
+
+        partial record Maxf
+        {
+            private protected override IEnumerable<Entity> InvertNode(Entity value, Entity x)
+                => Enumerable.Empty<Entity>();
+        }
+
+        partial record Gcdf
+        {
+            // The preimage of a gcd is every pair whose greatest common divisor is the
+            // value, which is not a function of x that can be undone.
+            private protected override IEnumerable<Entity> InvertNode(Entity value, Entity x)
+                => Enumerable.Empty<Entity>();
+        }
+
         partial record Boolean
         {
             private protected override IEnumerable<Entity> InvertNode(Entity value, Entity x)
diff --git a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs
index 1cdfb8308..2bff72213 100644
--- a/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs
+++ b/Sources/AngouriMath/Functions/Evaluation/Evaluation.Continuous/Evaluation.Continuous.Arithmetics.Classes.cs
@@ -311,6 +311,86 @@ protected override Entity InnerSimplify(bool isExact)
                     (@this, a) => ((Ceilf)@this).New(a), isExact);
         }
 
+        public partial record Roundf
+        {
+            private protected override Entity IntrinsicCondition => Boolean.True;
+
+            /// <inheritdoc/>
+            protected override Entity InnerSimplify(bool isExact)
+                => ExpandOnOneArgument(Argument,
+                    a => a switch
+                    {
+                        Integer n => n,
+                        Rational n => Integer.Create(n.EDecimal.RoundHalfEven().ToEInteger()),
+                        Real n when !isExact => Integer.Create(n.EDecimal.RoundHalfEven().ToEInteger()),
+                        Complex n when !isExact => Complex.Create(
+                            n.RealPart.EDecimal.RoundHalfEven(), n.ImaginaryPart.EDecimal.RoundHalfEven()),
+                        // Anything that already produced an integer is left alone.
+                        Floorf or Ceilf or Roundf => a,
+                        _ => null
+                    },
+                    (@this, a) => ((Roundf)@this).New(a), isExact);
+        }
+
+        public partial record Minf
+        {
+            private protected override Entity IntrinsicCondition => Boolean.True;
+
+            /// <inheritdoc/>
+            protected override Entity InnerSimplify(bool isExact)
+                => ExpandOnTwoArguments(Left, Right,
+                    (a, b) => (a, b) switch
+                    {
+                        // Only ordered arguments compare. A complex one is left alone rather
+                        // than guessed at, which is what SymPy's Min does too.
+                        (Real l, Real r) => l.EDecimal.CompareTo(r.EDecimal) <= 0 ? l : r,
+                        var (l, r) when l == r => l,
+                        _ => null
+                    },
+                    (@this, a, b) => ((Minf)@this).New(a, b), isExact);
+        }
+
+        public partial record Maxf
+        {
+            private protected override Entity IntrinsicCondition => Boolean.True;
+
+            /// <inheritdoc/>
+            protected override Entity InnerSimplify(bool isExact)
+                => ExpandOnTwoArguments(Left, Right,
+                    (a, b) => (a, b) switch
+                    {
+                        (Real l, Real r) => l.EDecimal.CompareTo(r.EDecimal) >= 0 ? l : r,
+                        var (l, r) when l == r => l,
+                        _ => null
+                    },
+                    (@this, a, b) => ((Maxf)@this).New(a, b), isExact);
+        }
+
+        public partial record Gcdf
+        {
+            private protected override Entity IntrinsicCondition => Boolean.True;
+
+            /// <inheritdoc/>
+            protected override Entity InnerSimplify(bool isExact)
+                => ExpandOnTwoArguments(Left, Right,
+                    (a, b) => (a, b) switch
+                    {
+                        // gcd is non-negative by convention, and gcd(0, n) is |n|.
+                        (Integer l, Integer r) => Integer.Create(l.EInteger.Gcd(r.EInteger)),
+                        // gcd(a/b, c/d) = gcd(a, c) / lcm(b, d) -- which is what SymPy gives,
+                        // so gcd(1/2, 1/3) is 1/6 rather than an error.
+                        (Rational l, Rational r) => Rational.Create(
+                            l.Numerator.EInteger.Gcd(r.Numerator.EInteger),
+                            l.Denominator.EInteger / l.Denominator.EInteger.Gcd(r.Denominator.EInteger) * r.Denominator.EInteger),
+                        var (l, r) when l == r => l,
+                        // The polynomial case is left to the node: PolynomialGcd already
+                        // computes one for the cancellation rule, and wiring it in here is
+                        // its own change rather than something to guess at.
+                        _ => null
+                    },
+                    (@this, a, b) => ((Gcdf)@this).New(a, b), isExact);
+        }
+
         public partial record Absf
         {
             // Absolute value is defined everywhere in the complex plane
diff --git a/Sources/AngouriMath/Functions/InternalAMExtensions.cs b/Sources/AngouriMath/Functions/InternalAMExtensions.cs
index b16866c89..85cdbe606 100644
--- a/Sources/AngouriMath/Functions/InternalAMExtensions.cs
+++ b/Sources/AngouriMath/Functions/InternalAMExtensions.cs
@@ -610,6 +610,17 @@ public static (EInteger Integral, EDecimal Fractional) SplitDecimal(this EDecima
         public static EDecimal Ceiling(this EDecimal x) => x.RoundToExponent(0, ERounding.Ceiling);
         /// <summary>If there is a fractional part, returns the previous largest integer</summary>
         public static EDecimal Floor(this EDecimal x) => x.RoundToExponent(0, ERounding.Floor);
+        /// <summary>
+        /// Rounds to the nearest integer, a tie going to the even one — what
+        /// <see cref="Entity.Roundf"/> means by rounding.
+        /// </summary>
+        /// <remarks>
+        /// Distinct from <see cref="Round(EDecimal)"/> just above, which is half <i>up</i>
+        /// and is what the numeric helpers around it want. The two disagree at every tie:
+        /// half up sends 5/2 to 3, half to even sends it to 2. Python, SymPy, Mathematica
+        /// and IEEE 754 all mean the latter by "round".
+        /// </remarks>
+        public static EDecimal RoundHalfEven(this EDecimal x) => x.RoundToExponent(0, ERounding.HalfEven);
 
         // Based on https://github.com/eobermuhlner/big-math/blob/ba75e9a80f040224cfeef3c2ac06390179712443/ch.obermuhlner.math.big/src/main/java/ch/obermuhlner/math/big/BigDecimalMath.java
 
diff --git a/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs
index 1a3348501..883e57cf7 100644
--- a/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/Latex/Latex.Arithmetics.Classes.cs
@@ -172,6 +172,35 @@ public override string Latexise()
                 => $@"\left\lceil{{{Argument.Latexise()}}}\right\rceil";
         }
 
+        partial record Roundf
+        {
+            // The nearest-integer brackets: a floor on the left, a ceiling on the right.
+            /// <inheritdoc/>
+            public override string Latexise()
+                => $@"\left\lfloor{{{Argument.Latexise()}}}\right\rceil";
+        }
+
+        partial record Minf
+        {
+            /// <inheritdoc/>
+            public override string Latexise()
+                => $@"\min\left({Left.Latexise()}, {Right.Latexise()}\right)";
+        }
+
+        partial record Maxf
+        {
+            /// <inheritdoc/>
+            public override string Latexise()
+                => $@"\max\left({Left.Latexise()}, {Right.Latexise()}\right)";
+        }
+
+        partial record Gcdf
+        {
+            /// <inheritdoc/>
+            public override string Latexise()
+                => $@"\gcd\left({Left.Latexise()}, {Right.Latexise()}\right)";
+        }
+
         partial record Phif
         {
             /// <inheritdoc/>
diff --git a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs
index 2c29467f5..be2782930 100644
--- a/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/ToString/ToString.Arithmetics.Classes.cs
@@ -125,6 +125,38 @@ public partial record Ceilf
             public override string ToString() => Stringize();
         }
 
+        public partial record Roundf
+        {
+            /// <inheritdoc/>
+            public override string Stringize() => $"round({Argument.Stringize()})";
+            /// <inheritdoc/>
+            public override string ToString() => Stringize();
+        }
+
+        public partial record Minf
+        {
+            /// <inheritdoc/>
+            public override string Stringize() => $"min({Left.Stringize()}, {Right.Stringize()})";
+            /// <inheritdoc/>
+            public override string ToString() => Stringize();
+        }
+
+        public partial record Maxf
+        {
+            /// <inheritdoc/>
+            public override string Stringize() => $"max({Left.Stringize()}, {Right.Stringize()})";
+            /// <inheritdoc/>
+            public override string ToString() => Stringize();
+        }
+
+        public partial record Gcdf
+        {
+            /// <inheritdoc/>
+            public override string Stringize() => $"gcd({Left.Stringize()}, {Right.Stringize()})";
+            /// <inheritdoc/>
+            public override string ToString() => Stringize();
+        }
+
         public partial record Factorialf
         {
             /// <inheritdoc/>
diff --git a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs
index 1bbc32fec..3ca5bb89d 100644
--- a/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs
+++ b/Sources/AngouriMath/Functions/Output/ToSympy/ToSympy.Arithmetics.Classes.cs
@@ -77,6 +77,48 @@ internal override string ToSymPy()
                 => $@"sympy.ceiling({Argument.ToSymPy()})";
         }
 
+        public partial record Roundf
+        {
+            /// <remarks>
+            /// SymPy has no symbolic round -- `RoundFunction` is an abstract base and
+            /// raises, and `.round()` is a method on a concrete number rather than a
+            /// function of an expression. So this is built out of what SymPy does have.
+            ///
+            /// It is deliberately not `sympy.floor(x + 1/2)`, which is the obvious
+            /// translation and is wrong at every tie: that sends 1/2 to 1 and 5/2 to 3,
+            /// where rounding half to even gives 0 and 2. The correction below is exactly
+            /// the tie case -- when the fractional part is a half and the candidate is odd,
+            /// step down to the even neighbour -- and was checked against SymPy's own
+            /// `Rational.round()` on ties, non-ties and negatives.
+            /// </remarks>
+            internal override string ToSymPy()
+            {
+                var arg = Argument.ToSymPy();
+                var candidate = $"sympy.floor({arg} + sympy.Rational(1, 2))";
+                return $"sympy.Piecewise(({candidate} - 1, "
+                     + $"sympy.Eq(sympy.frac({arg}), sympy.Rational(1, 2)) & sympy.Eq(sympy.Mod({candidate}, 2), 1)), "
+                     + $"({candidate}, True))";
+            }
+        }
+
+        public partial record Minf
+        {
+            internal override string ToSymPy()
+                => $@"sympy.Min({Left.ToSymPy()}, {Right.ToSymPy()})";
+        }
+
+        public partial record Maxf
+        {
+            internal override string ToSymPy()
+                => $@"sympy.Max({Left.ToSymPy()}, {Right.ToSymPy()})";
+        }
+
+        public partial record Gcdf
+        {
+            internal override string ToSymPy()
+                => $@"sympy.gcd({Left.ToSymPy()}, {Right.ToSymPy()})";
+        }
+
         public partial record Phif
         {
             internal override string ToSymPy() => $"sympy.totient({Argument.ToSymPy()})";
diff --git a/Sources/AngouriMath/Functions/Substitute.cs b/Sources/AngouriMath/Functions/Substitute.cs
index 1627407a3..2b9ffc24a 100644
--- a/Sources/AngouriMath/Functions/Substitute.cs
+++ b/Sources/AngouriMath/Functions/Substitute.cs
@@ -186,6 +186,34 @@ public override Entity Substitute(Entity x, Entity value)
                 => this == x ? value : New(Argument.Substitute(x, value));
         }
 
+        partial record Roundf
+        {
+            /// <inheritdoc/>
+            public override Entity Substitute(Entity x, Entity value)
+                => this == x ? value : New(Argument.Substitute(x, value));
+        }
+
+        partial record Minf
+        {
+            /// <inheritdoc/>
+            public override Entity Substitute(Entity x, Entity value)
+                => this == x ? value : New(Left.Substitute(x, value), Right.Substitute(x, value));
+        }
+
+        partial record Maxf
+        {
+            /// <inheritdoc/>
+            public override Entity Substitute(Entity x, Entity value)
+                => this == x ? value : New(Left.Substitute(x, value), Right.Substitute(x, value));
+        }
+
+        partial record Gcdf
+        {
+            /// <inheritdoc/>
+            public override Entity Substitute(Entity x, Entity value)
+                => this == x ? value : New(Left.Substitute(x, value), Right.Substitute(x, value));
+        }
+
         partial record Boolean
         {
             /// <inheritdoc/>
diff --git a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
index d6eddeae8..a08c285ee 100644
--- a/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
+++ b/Sources/AngouriMath/Functions/TreeAnalyzer/Sort.Classes.cs
@@ -215,6 +215,30 @@ private protected override string SortHashName(SortLevel level)
                 => Choice(level, "floorceil_", "ceil_", "ceil_");
         }
 
+        public partial record Roundf
+        {
+            private protected override string SortHashName(SortLevel level)
+                => Choice(level, "floorceil_", "round_", "round_");
+        }
+
+        public partial record Minf
+        {
+            private protected override string SortHashName(SortLevel level)
+                => Choice(level, "minmax_", "min_", "min_");
+        }
+
+        public partial record Maxf
+        {
+            private protected override string SortHashName(SortLevel level)
+                => Choice(level, "minmax_", "max_", "max_");
+        }
+
+        public partial record Gcdf
+        {
+            private protected override string SortHashName(SortLevel level)
+                => Choice(level, "gcd_", "gcd_", "gcd_");
+        }
+
         partial record Boolean
         {
             private protected override string SortHashName(SortLevel level)
diff --git a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs
index 584c6d65a..8bce0370c 100644
--- a/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs
+++ b/Sources/Tests/UnitTests/Convenience/MissingFunctionNamesRefusedTest.cs
@@ -26,16 +26,12 @@ namespace AngouriMath.Tests.Convenience
     [Trait("Area", "Convenience")]
     public sealed class MissingFunctionNamesRefusedTest
     {
-        // floor, ceil and ceiling were on this list until they were implemented:
-        // https://github.com/asc-community/AngouriMath/issues/809
+        // floor, ceil, ceiling, round, min, max and gcd were all on this list until they
+        // were implemented: https://github.com/asc-community/AngouriMath/issues/809
         [Theory]
-        [InlineData("round(x)")]
         [InlineData("trunc(x)")]
         [InlineData("erf(x)")]
         [InlineData("conjugate(x)")]
-        [InlineData("min(x, y)")]
-        [InlineData("max(x, y)")]
-        [InlineData("gcd(x, y)")]
         [InlineData("lcm(x, y)")]
         public void ANameTheLibraryDoesNotHaveIsRefused(string written) =>
             Assert.Throws<UnrecognizedFunctionParseException>(() => written.ToEntity());
@@ -45,8 +41,8 @@ public void ANameTheLibraryDoesNotHaveIsRefused(string written) =>
         /// cannot otherwise tell what happened to their expression.
         /// </summary>
         [Theory]
-        [InlineData("round(x)", "round")]
-        [InlineData("gcd(x, y)", "gcd")]
+        [InlineData("trunc(x)", "trunc")]
+        [InlineData("lcm(x, y)", "lcm")]
         [InlineData("conjugate(x)", "conjugate")]
         public void TheRefusalNamesTheFunction(string written, string name) =>
             Assert.Contains(name,
@@ -59,11 +55,11 @@ public void TheRefusalNamesTheFunction(string written, string name) =>
         /// absence was invisible or cryptic according to how the caller happened to write it.
         /// </summary>
         [Theory]
-        [InlineData("min(x)")]
-        [InlineData("min(x, y)")]
-        [InlineData("min(x, y, z)")]
-        [InlineData("round(x)")]
-        [InlineData("round(x, y)")]
+        [InlineData("lcm(x)")]
+        [InlineData("lcm(x, y)")]
+        [InlineData("lcm(x, y, z)")]
+        [InlineData("trunc(x)")]
+        [InlineData("trunc(x, y)")]
         public void TheArgumentCountDoesNotDecideWhetherItIsReported(string written) =>
             Assert.Throws<UnrecognizedFunctionParseException>(() => written.ToEntity());
 
@@ -86,8 +82,8 @@ public void AnImplementedNameWithTheWrongArgumentCountSaysThat(string written, s
         public void TheEquationThatUsedToBeAnsweredWithNonsenseNowSaysWhyItCannotBe()
         {
             var thrown = Assert.Throws<UnrecognizedFunctionParseException>(
-                () => "round(x) - 3 = 0".ToEntity().Solve("x"));
-            Assert.Contains("round", thrown.Message);
+                () => "trunc(x) - 3 = 0".ToEntity().Solve("x"));
+            Assert.Contains("trunc", thrown.Message);
         }
 
         /// <summary>
@@ -143,6 +139,10 @@ public void EverythingElseParsesAsItDid(string written, string expected) =>
         [InlineData("floor(x)")]
         [InlineData("ceil(x)")]
         [InlineData("ceiling(x)")]
+        [InlineData("round(x)")]
+        [InlineData("min(x, y)")]
+        [InlineData("max(x, y)")]
+        [InlineData("gcd(x, y)")]
         public void TheNamesTheLibraryHasStillParse(string written) =>
             Assert.NotNull(written.ToEntity());
 
diff --git a/Sources/Tests/UnitTests/Convenience/RoundMinMaxGcdTest.cs b/Sources/Tests/UnitTests/Convenience/RoundMinMaxGcdTest.cs
new file mode 100644
index 000000000..94a68e09c
--- /dev/null
+++ b/Sources/Tests/UnitTests/Convenience/RoundMinMaxGcdTest.cs
@@ -0,0 +1,168 @@
+//
+// Copyright (c) 2019-2026 Angouri.
+// AngouriMath is licensed under MIT.
+// Details: https://github.com/asc-community/AngouriMath/blob/master/LICENSE.md.
+// Website: https://am.angouri.org.
+//
+
+using AngouriMath;
+using AngouriMath.Core.Exceptions;
+using AngouriMath.Extensions;
+using Xunit;
+
+namespace AngouriMath.Tests.Convenience
+{
+    /// <summary>
+    /// <c>round</c>, <c>min</c>, <c>max</c> and <c>gcd</c> —
+    /// <a href="https://github.com/asc-community/AngouriMath/issues/809">#809</a>.
+    /// </summary>
+    /// <remarks>
+    /// Expected values are SymPy 1.14's, measured rather than reasoned about.
+    /// </remarks>
+    [Trait("Area", "Convenience")]
+    public sealed class RoundMinMaxGcdTest
+    {
+        /// <summary>
+        /// Half to even — Python, SymPy, Mathematica and IEEE 754 all agree, and it is what
+        /// .NET's <c>Math.Round</c> does by default. The ties are the whole point: 1/2 goes
+        /// down to 0 and 5/2 goes down to 2, because the even neighbour wins.
+        /// </summary>
+        [Theory]
+        [InlineData("round(1/2)", 0)]
+        [InlineData("round(3/2)", 2)]
+        [InlineData("round(5/2)", 2)]
+        [InlineData("round(7/2)", 4)]
+        [InlineData("round(-1/2)", 0)]
+        [InlineData("round(-3/2)", -2)]
+        [InlineData("round(-5/2)", -2)]
+        [InlineData("round(13/10)", 1)]
+        [InlineData("round(17/10)", 2)]
+        [InlineData("round(2)", 2)]
+        [InlineData("round(-2)", -2)]
+        public void RoundGoesToTheEvenNeighbourOnATie(string input, int expected)
+            => Assert.Equal(Entity.Number.Integer.Create(expected), input.ToEntity().Simplify());
+
+        /// <summary>
+        /// The obvious translation of rounding is <c>floor(x + 1/2)</c>, and it is wrong at
+        /// every tie. Pinned so that nobody simplifies the node into it.
+        /// </summary>
+        [Theory]
+        [InlineData("1/2")]
+        [InlineData("5/2")]
+        [InlineData("-3/2")]
+        public void RoundIsNotFloorOfTheArgumentPlusAHalf(string at)
+        {
+            var rounded = $"round({at})".ToEntity().Simplify();
+            var floored = $"floor({at} + 1/2)".ToEntity().Simplify();
+            Assert.NotEqual(floored, rounded);
+        }
+
+        [Theory]
+        [InlineData("min(3, 5)", 3)]
+        [InlineData("max(3, 5)", 5)]
+        [InlineData("min(-2, -7)", -7)]
+        [InlineData("max(-2, -7)", -2)]
+        [InlineData("min(3, 5, 1)", 1)]
+        [InlineData("max(3, 5, 1)", 5)]
+        [InlineData("min(4)", 4)]
+        public void MinAndMaxCompareWhereTheArgumentsAreOrdered(string input, int expected)
+            => Assert.Equal(Entity.Number.Integer.Create(expected), input.ToEntity().Simplify());
+
+        [Theory]
+        [InlineData("min(x, x)", "x")]
+        [InlineData("max(x, x)", "x")]
+        public void MinAndMaxOfOneThingWithItselfIsThatThing(string input, string expected)
+            => Assert.Equal(expected.ToEntity(), input.ToEntity().Simplify());
+
+        // Only ordered arguments compare, so an unordered pair is left alone rather than
+        // guessed at -- which is what SymPy's Min does too.
+        [Theory]
+        [InlineData("min(x, y)")]
+        [InlineData("max(x, y)")]
+        public void AnUncomparablePairIsLeftAlone(string input)
+            => Assert.Equal(input.ToEntity(), input.ToEntity().Simplify());
+
+        [Theory]
+        [InlineData("gcd(12, 18)", "6")]
+        [InlineData("gcd(-12, 18)", "6")]
+        [InlineData("gcd(0, 5)", "5")]
+        [InlineData("gcd(12, 18, 8)", "2")]
+        // Rationals, not integers only: gcd(a/b, c/d) is gcd(a, c) / lcm(b, d).
+        [InlineData("gcd(1/2, 1/3)", "1/6")]
+        public void GcdIsWhatSymPyGives(string input, string expected)
+            => Assert.Equal(expected.ToEntity().Simplify(), input.ToEntity().Simplify());
+
+        [Fact]
+        public void AGcdItCannotSettleIsLeftAsANode()
+            => Assert.IsType<Entity.Gcdf>("gcd(x, y)".ToEntity().Simplify());
+
+        [Theory]
+        [InlineData("round(x)", "round(x)")]
+        [InlineData("min(x, y)", "min(x, y)")]
+        [InlineData("max(x, y)", "max(x, y)")]
+        [InlineData("gcd(x, y)", "gcd(x, y)")]
+        public void ThePrintedFormIsTheUsualSpelling(string input, string expected)
+            => Assert.Equal(expected, input.ToEntity().Stringize());
+
+        [Theory]
+        [InlineData("round(x)")]
+        [InlineData("min(x, y)")]
+        [InlineData("max(x, y)")]
+        [InlineData("gcd(x, y)")]
+        [InlineData("min(x, y) + max(a, b) + gcd(p, q) + round(z)")]
+        public void ThePrintedFormParsesBackToTheSameExpression(string input)
+            => Assert.Equal(input.ToEntity(), input.ToEntity().Stringize().ToEntity());
+
+        [Theory]
+        [InlineData("round(x)", @"\left\lfloor{x}\right\rceil")]
+        [InlineData("min(x, y)", @"\min\left(x, y\right)")]
+        [InlineData("max(x, y)", @"\max\left(x, y\right)")]
+        [InlineData("gcd(x, y)", @"\gcd\left(x, y\right)")]
+        public void TheLatexIsTheUsualNotation(string input, string expected)
+            => Assert.Equal(expected, input.ToEntity().Latexise());
+
+        /// <summary>
+        /// Round is flat between the <i>half</i>-integers and jumps at each of them, which is
+        /// a different condition from floor's.
+        /// </summary>
+        [Fact]
+        public void TheDerivativeOfRoundIsZeroAwayFromTheHalfIntegers()
+        {
+            var provided = Assert.IsType<Entity.Providedf>("round(x)".ToEntity().Differentiate("x"));
+            Assert.Equal(Entity.Number.Integer.Create(0), provided.Expression);
+        }
+
+        /// <summary>
+        /// Min and max have no derivative this library can state without a case split on
+        /// which argument is smaller, so they decline rather than guess.
+        /// </summary>
+        [Theory]
+        [InlineData("min(x, y)")]
+        [InlineData("max(x, y)")]
+        public void MinAndMaxDeclineToDifferentiate(string input)
+            => Assert.Contains(input.ToEntity().Differentiate("x").Nodes,
+                node => node is Entity.Derivativef);
+
+        [Theory]
+        [InlineData("min()")]
+        [InlineData("max()")]
+        [InlineData("gcd()")]
+        public void TheVariadicOnesStillNeedAnArgument(string input)
+            => Assert.Throws<FunctionArgumentCountException>(() => input.ToEntity());
+
+        [Theory]
+        [InlineData("round(x, y)")]
+        public void RoundTakesExactlyOneArgument(string input)
+            => Assert.Throws<FunctionArgumentCountException>(() => input.ToEntity());
+
+        [Theory]
+        [InlineData("round(x)", "7/2", 4)]
+        [InlineData("round(x)", "5/2", 2)]
+        [InlineData("min(x, 3)", "1", 1)]
+        [InlineData("max(x, 3)", "1", 3)]
+        [InlineData("gcd(x, 18)", "12", 6)]
+        public void SubstitutingReachesTheValue(string input, string at, int expected)
+            => Assert.Equal(Entity.Number.Integer.Create(expected),
+                input.ToEntity().Substitute("x", at.ToEntity()).Simplify());
+    }
+}