ExtendedGCD[12, 30] == {6, {-2, 1}}

Cell[BoxData[RowBox[List[RowBox[List["ExtendedGCD", "[", RowBox[List["12", ",", "30"]], "]"]], "\[Equal]", RowBox[List["{", RowBox[List["6", ",", RowBox[List["{", RowBox[List[RowBox[List["-", "2"]], ",", "1"]], "}"]]]], "}"]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> egcd </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mn> 12 </mn> <mo> , </mo> <mn> 30 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mo> { </mo> <mrow> <mn> 6 </mn> <mo> , </mo> <mrow> <mo> { </mo> <mrow> <mrow> <mo> - </mo> <mn> 2 </mn> </mrow> <mo> , </mo> <mn> 1 </mn> </mrow> <mo> } </mo> </mrow> </mrow> <mo> } </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> egcd </ci> <cn type='integer'> 12 </cn> <cn type='integer'> 30 </cn> </apply> <list> <cn type='integer'> 6 </cn> <list> <cn type='integer'> -2 </cn> <cn type='integer'> 1 </cn> </list> </list> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ExtendedGCD", "[", RowBox[List["12", ",", "30"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["{", RowBox[List["6", ",", RowBox[List["{", RowBox[List[RowBox[List["-", "2"]], ",", "1"]], "}"]]]], "}"]]]]]]

2001-10-29