Question
JAVA netbeans Given two positive integers i and j , the greatest common divisor of i and j , written gcd (i, j) is the
JAVA netbeans
Given two positive integers i and j, the greatest common divisor of i and j, written
gcd (i, j) is the largest integer k that divides both of them without remainder
(i.e. i % k = 0 and j % k = 0).
For example, gcd (35, 21) = 7 and gcd (8, 15) = 1.
According to Euclid's algorithm, the greatest common divisor (gcd) id defined as follows:
of i and j is j if i % j = 0. Otherwise, the greatest common divisor of i and j is the greatest common divisor of j and (i % j).
gcd (i, j)= j if i%j is equal to 0
gcd (i, j)= gcd(j, i%j) if i%j is not equal to 0
1. Develop a recursive method that returns the greatest common divisor of i and j.
Here is the method specification:
public static int gcd (int i, int j)
This method finds and returns the greatest common divisor of i and j.
1. Develop and run a test program to test your method.
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