**GCD of two numbers in Java**:

GCD(Greatest Common Divisor) or we can say HCF(Highest Common Factor) of two numbers is the largest number(integer) that divides both the number. Or in other words, two numbers which are divisible by the same largest number leaving no remainder.

For example: GCD of 20 and 28 is 4 as shown in the image below.

## Java program two calculate GCD of two numbers using **for** loop and **if** statement:

In this example, we take the user input for the two numbers whose GCD need to be found and store it in **num1 **and **num2**. Then iterate through for loop for **i** less than equal **num1** and **i** less than equal to **num2**

Inside for loop we set if statement to check for the divisibility 0f both **num1 **and **num2** by **i**. If true then we set the value of current **i** to gcd. This iteration runs on until it finds the largest number that divides both **num1** and **num2**.

**Program:**

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | //calculate the gcd of two number import java.util.Scanner; public class GCDJava { public static void main(String[] args) { int num1 , num2, gcd = 1; Scanner sc = new Scanner(System.in); System.out.println("Enter the first number:"); num1 = sc.nextInt(); System.out.println("Enter the second number:"); num2 = sc.nextInt(); for(int i = 1; i <= num1 && i <= num2; ++i) { // Checks if i is factor of both integers if(num1 % i==0 && num2 % i==0) gcd = i; } System.out.printf("G.C.D of %d and %d is %d", num1, num2, gcd); } } |

**The** **Output **of GCD of two numbers in java

1 2 3 4 5 | Enter the first number: 81 Enter the second number: 153 G.C.D of 81 and 153 is 99 |