# Kotlin Program to Find G.C.D Using Recursion

#### In this program, you’ll learn to find the GCD (Greatest Common Divisor) or HCF using a recursive function in Kotlin.

This program takes two positive integers and calculates GCD using recursion.

## Example: GCD of Two Numbers using Recursion

fun main(args: Array<String>) {
val n1 = 366
val n2 = 60
val hcf = hcf(n1, n2)

println("G.C.D of \$n1 and \$n2 is \$hcf.")
}

fun hcf(n1: Int, n2: Int): Int {
if (n2 != 0)
return hcf(n2, n1 % n2)
else
return n1
}

When you run the program, the output will be:

G.C.D of 366 and 60 is 6.

In the above program, the recursive function is called until n2 is 0. In the end, the value of n1 is the GCD or HCF of the given two numbers.

Execution Steps
No. Recursive call n1 n2 n1 % n2
1 hcf(366, 60) 366 60 6
2 hcf(60, 6) 60 6 0
Final hcf(6, 0) 6 0

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