The Euclidean Algorithm is a simple means by which the greatest common divisor (GCD) of two positive integers may be found. The Java applet below makes use of the BigInteger class and thus should handle arbitrarily large integers. In addition to the GCD of A and B, this applet will also express the GCD as a linear combination of A and B.

If you find a case in which the applet fails to function or gives erroneous results, please send me the values of A and B which you entered and the contents of your Java console. My modest goal is to have this applet run reliably and accurately.