<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>gcdCoefficients -- gcd with coefficients</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_genera.html">next</a> | <a href="_gcd.html">previous</a> | <a href="_genera.html">forward</a> | <a href="_gcd.html">backward</a> | up | <a href="index.html">top</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>gcdCoefficients -- gcd with coefficients</h1> <div class="single"><h2>Description</h2> <div><tt>gcdCoefficients(a,b)</tt> -- returns <tt>{d,r,s}</tt> so that <tt>a*r + b*s</tt> is the greatest common divisor <tt>d</tt> of <tt>a</tt> and <tt>b</tt>.<p/> Works for integers or elements of polynomial rings in onve variable.</div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_gcd.html" title="greatest common divisor">gcd</a> -- greatest common divisor</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>gcdCoefficients</tt> :</h2> <ul><li>gcdCoefficients(RingElement,RingElement)</li> <li>gcdCoefficients(ZZ,ZZ)</li> </ul> </div> </div> </body> </html>