Program Description: This program gives the integer coefficients x,y to the equation ax+by=gcd (a,b) given by the extended Euclidean Algorithm. Note that this program does not use the typical extended ...

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 Book 7 of ...

This adds Extended Euclidean Algorithm with Python implementation of the same. This implementation uses iterative method of the algorithm, takes two values and gives out the gcd along with the ...

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 ...