Extended-Euclidean-Algorithm The Extended Euclidean Algorithm (EEA) is an extension of the Euclidean Algorithm used to find the greatest common divisor (GCD) of two integers 𝑎a and 𝑏b, as well as ...

In arithmetic and computer programming, the extended Euclidean algorithm is an extension to the Euclidean algorithm, and computes, in addition to the greatest common divisor (gcd) of integers a and b, ...

A new parallelization of the extended Euclidean GCD algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O/sub eps/(n/log n) using only n/sup ...

The rational reconstruction problem was generally solved by classical Euclidean algorithm. In this paper, we achieve an Extended Euclidean algorithm for rational, and obtain an solvability criterion, ...

This paper describes and validates a new algorithm, called the Enhanced Euclid Algorithm, for modular multiplicative inverse (MMI). Analysis of the proposed algorithm shows that it is more efficient ...

The algorithm that we present in Section 2 recovers this original meaning, which can be insightful even for children in elementary school. The extended Euclidean algorithm, described in [9], has many ...