Implement a recursive method that evaluates the gcd

Reference no: EM13702974

Implement a recursive method that evaluates the GCD of the given numbers.

Question: The Euclidean algorithm for the GCD (greatest common divisor) of two positive integers is the world's oldest surviving non-trivial algorithm. It has many theoretical and practical applications.

For case, it is used in the public key encryption system that is used to secure electronic commerce.

It has a short recursive implementation based on the given two facts.

gcd(a; b) = {a if b = 0;

{gcd(b; a%b) otherwise.

Use the above fact to create a recursive method in Java that computes and returns the gcd of two positive integers. Comment the code.

Reference no: EM13702974

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