GitHub

The-Euclidean-Algorithm-GCD

This repository implements the Greatest Common Divisor (GCD) algorithm, which calculates the largest integer that divides two numbers without leaving a remainder. The algorithm is implemented using ...
GitHub

Incorrect GCD Calculation using Euclidean Algorithm

This repository demonstrates a common error in implementing the Euclidean algorithm for finding the greatest common divisor (GCD) of two numbers in JavaScript. The ...
Scientific Research Publishing

The Solution of the Indefinite Equation by the Method of Euclidean Algorithm ()

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or ...
IEEE

Diophantine Equation and the Euclidean Algorithm: Methods and Philosophy of the Algebraic Approach to Linear Multivariable Control [Lecture Notes]

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 ...
JSTOR Daily

Computing Gretest Common Divisors and Factorizations in Quadratic Number Fields

This is a preview. Log in through your library . Abstract In a quadratic number field $\mathbf{Q}(\sqrt D), D$ a squarefree integer, with class number 1, any algebraic integer can be decomposed ...
IEEE

Reformulated Euclidean Algorithm and Optimized (OREA) Architecture for Reed-Solomon Decoding

Abstract: In this paper, we present a Reformulated Euclidean Algorithm (REA) and its optimized architecture for Reed-Solomon decoding. Through algorithm transformations on a modified Euclidean ...