Basic Euclidean Algorithm for GCD: The algorithm is based on below facts. ->If we subtract smaller number from larger (we reduce larger number), GCD doesn’t change. So if we keep subtracting ...

This is an implementation of an inductive euclidean algorithm such that it allows you to compute the HCF and LCM of any n number of integers. Also features extended euclidean algorithm, which outputs ...

Greatest Common Divisor (GCD) computation is one of the most important operation of algorithmic number theory. In this paper we present the algorithms for GCD computation of n integers. We extend the ...

Euclid’s algorithm Euclid was an ancient Greek mathematician who flourished around 300 BCE. Here’s an algorithm that bears Euclid’s name. It was presented in Euclid’s Elements, but it’s likely that it ...

Using Euclid's algorithm as an example, Dr. Lamport walked the audience through how an algorithm can be expressed precisely yet simply with mathematics. Described by ancient Greek mathematician Euclid ...

I'm looking for what the title says. Euclidean algorithm works and is fast for just a pair of numbers, but I don't see any obvious generalizations. A quick googling didn't turn up anything too ...

Mathematics of Computation, Vol. 77, No. 261 (Jan., 2008), pp. 589-607 (19 pages) We describe a new subquadratic left-to-right GCD algorithm, inspired by Schönhage's algorithm for reduction of binary ...

RSA is one the most well-known public-key cryptosystems widely used for secure data transfer. An RSA encryption key includes a modulus n which is the product of two large prime numbers p and q. If an ...