There’s a rather beautiful algorithm for finding the greatest common divisor of two positive integers. For example, the greatest common divisor of 120 and 105 is 15. It’s clear that 15 is a divisor of ...

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 ...

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

Sophie Venz is a former Deputy Editor at Forbes Advisor. She is an experienced editor and features reporter, and has previously worked in the small business and start-up reporting space. Previously ...

Ms. Angwin is a contributing Opinion writer and an investigative journalist. Social media can feel like a giant newsstand, with more choices than any newsstand ever. It contains news not only from ...

Finds the GCD using the euclidean algorithm or finds a linear combination of the GCD using the extended euclidean algorithm with all steps/work done shown ...

1 Grupo de Investigación de Análisis Matemático, Instituto de Formación docente Salomé Ureña, Santo Domingo, D.N., República Dominicana. 2 Wake Forest University, Winstom-Salem, NC, USA. In this paper ...