Euclidean Algorithm Java Coding Challenge | Edabit | How'd You Code That?
Euclidean Algorithm
Named after the Greek mathematician, Euclid, The Euclidean Algorithm is an efficient method for computing the greatest common divisor of two whole numbers, without explicitly factoring the two numbers. It’s used in countless applications, including computing the explicit expression in Bezout’s identity, constructing continued fractions, reduction of fractions to their simplest forms, and attacking the RSA crypto-system.
The steps to compute the greatest common divisor of two numbers (“a” and “b”), using the Euclidean Algorithm are as follows:
1. Divide "a" by "b" and set "r" as the remainder.
2. If “r” = 0, STOP! The gcd is “b”.
3. Set "a" = "b" and "b" = "r" and start the algorithm over again.
Simple, and a perfect use case for recursion.
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