• This is a simple implementation of the Euclidean Algorithm to calculate the Greatest Common Divisor (GCD) of two integers. • The program takes two integers as input and calculates the GCD using the ...

Euclid's algorithm is an ancient and efficient method for finding the GCD of two numbers. The algorithm is based on the observation that the GCD of two numbers does not change if the smaller number is ...

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 ...

Let K be a number field with unit rank at least four, containing a subfield M such that K/M is Galois of degree at least four. We show that the ring of integers of K is a Euclidean domain if and only ...

Mathematics of Computation, Vol. 77, No. 261 (Jan., 2008), pp. 589-607 (19 pages) We describe a new subquadratic left-to-right GCD algorithm, inspired by Schönhage's algorithm for reduction of binary ...