An ancient algorithm with a while loop There’s a rather beautiful algorithm for finding the greatest common divisor of two positive integers. You may recall from your elementary algebra course that ...

Coprime pairs of integer matrices have applications in various fields, including multirate systems and multidimensional signal processing. This paper addresses problems related to coprime matrices ...

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

Improve this page Add a description, image, and links to the euclidean-algorithm topic page so that developers can more easily learn about it.

2. Euclidean Algorithm: The Euclidean Algorithm is another method for finding GCF on a basic calculator. – Divide the larger number by the smaller number and note down the remainder. – Replace the ...

By combining the proofs above, we can say that the correctness of Euclid GCD Algorithm has been proved. By the way, we also prove that the algorithm's time complexity is O (log n) . We define "step" ...