The greatest common divisor (GCD) of two positive integers a and b is the largest positive integer that divides both a and b without leaving a remainder. There are many methods to find the GCD of two ...

Extended Euclidean Algorithm This program implements the extended euclidean algorithm for the integers Z, gaussian integers Z [i] and eisenstein integers Z [w]. The actual algorithm implementation is ...

In this paper a novel architecture for implementation of the Euclidean algorithm is presented. It computes the multiplication inverse of a number K for different values of the dimension n (X/sup ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...