The Euclidean algorithm works with numbers of any size. To find the greatest common divisor of 77 and 187 using the Euclidean algorithm involves the process of long division, which you might have ...

This project explores the cognitive origins of the Euclidean algorithm, tracing its development from embodied group-splitting to recursive abstraction. It is intended for students, educators, and ...

Overview: This project benchmarks and compares six methods for computing the greatest common divisor (GCD): Euclidean Iterative, Euclidean Recursive, Stein’s Iterative, Stein’s Recursive, Subtraction ...

This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially when working over finite fields ...

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 ...

This is a preview. Log in through your library . Abstract The classical Euclidean algorithm for pairs of real numbers is generalized to real n-vectors by $\operatorname{Alg}(n, \mathbf{Z})$. An ...