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 GCD

 http://functions.wolfram.com/04.08.27.0001.01

 Input Form

 GCD[m, n] == (m n)/LCM[m, n] /; Element[m, Integers] && m > 0 && Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["GCD", "[", RowBox[List["m", ",", "n"]], "]"]], "\[Equal]", FractionBox[RowBox[List["m", " ", "n"]], RowBox[List["LCM", "[", RowBox[List["m", ",", "n"]], "]"]]]]], "/;", RowBox[List[RowBox[List["m", "\[Element]", "Integers"]], "\[And]", RowBox[List["m", ">", "0"]], "\[And]", RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 gcd ( m , n ) m n lcm ( m , n ) /; m + n + Condition m n m n m n -1 m SuperPlus n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["GCD", "[", RowBox[List["m_", ",", "n_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["m", " ", "n"]], RowBox[List["LCM", "[", RowBox[List["m", ",", "n"]], "]"]]], "/;", RowBox[List[RowBox[List["m", "\[Element]", "Integers"]], "&&", RowBox[List["m", ">", "0"]], "&&", RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29