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GCD




Mathematica Notation

Traditional Notation









Integer Functions > GCD[n1,n2,...,nm] > Identities > Functional identities





http://functions.wolfram.com/04.08.17.0002.01









  


  








Input Form





GCD[Subscript[n, 1], GCD[Subscript[n, 2], Subscript[n, 3], \[Ellipsis], Subscript[n, m]]] == GCD[Subscript[n, 1], Subscript[n, 2], Subscript[n, 3], \[Ellipsis], Subscript[n, m]]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["GCD", "[", RowBox[List[SubscriptBox["n", "1"], ",", RowBox[List["GCD", "[", RowBox[List[SubscriptBox["n", "2"], ",", SubscriptBox["n", "3"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "m"]]], "]"]]]], "]"]], "\[Equal]", RowBox[List["GCD", "[", RowBox[List[SubscriptBox["n", "1"], ",", SubscriptBox["n", "2"], ",", SubscriptBox["n", "3"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "m"]]], "]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> gcd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <msub> <mi> n </mi> <mn> 1 </mn> </msub> <mo> , </mo> <mrow> <mi> gcd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> , </mo> <msub> <mi> n </mi> <mn> 3 </mn> </msub> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> m </mi> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mi> gcd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <msub> <mi> n </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> , </mo> <msub> <mi> n </mi> <mn> 3 </mn> </msub> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> m </mi> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <gcd /> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 1 </cn> </apply> <apply> <gcd /> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 2 </cn> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 3 </cn> </apply> <ci> &#8230; </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> m </ci> </apply> </apply> </apply> <apply> <gcd /> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 2 </cn> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 3 </cn> </apply> <ci> &#8230; </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> m </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["GCD", "[", RowBox[List[SubscriptBox["n_", "1"], ",", RowBox[List["GCD", "[", RowBox[List[SubscriptBox["n_", "2"], ",", SubscriptBox["n_", "3"], ",", "\[Ellipsis]_", ",", SubscriptBox["n_", "m_"]]], "]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["GCD", "[", RowBox[List[SubscriptBox["nn", "1"], ",", SubscriptBox["nn", "2"], ",", SubscriptBox["nn", "3"], ",", "\[Ellipsis]", ",", SubscriptBox["nn", "m"]]], "]"]]]]]]


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





2001-10-29