This Java program calculates the Greatest Common Divisor (GCD) of two numbers using a recursive function based on the Euclidean Algorithm. It takes user input, processes the values recursively, and ...

Welcome to my Extended Euclidean Algorithm and Galois Fields Lab! This project explores the implementation of the extended Euclidean algorithm and the use of Galois Fields. This lab investigates 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 ...

This is a preview. Log in through your library . Journal Information The Mathematics Teacher (MT), an official journal of the National Council of Teachers of Mathematics, is devoted to improving ...

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 ...