Added a Java File to find GCD of Factorial of Two Numbers

GCD_of_fact_of_two_Numbers.java

@@ -0,0 +1,32 @@
+// Program to find  GCD of Factorial of Two Numbers
+
+import java.util.Scanner;
+
+public class GCD_of_fact_of_two_Numbers {
+    static int factorial(long x)
+    {
+        if (x <= 1)                                                                 //terminating condition
+            return 1;
+        int res = 2;
+        for (int i = 3; i <= x; i++)                                                //calculating factorial of the smaller number
+            res = res * i;
+        return res;
+    }
+
+    static int gcdOfFactorial(long m, long n)
+    {
+        long min = Math.min(m, n);                                                    //checking which number is smaller
+        return factorial(min);                                                      //Method call for the factorial of smaller number
+    }
+
+    /* Driver program to test above functions */
+    public static void main (String[] args)                                         //main function to initialize variables and call the function
+    {
+        long i , j;
+        Scanner in = new Scanner(System.in);
+        System.out.print("Enter the values of numbers you want to check : ");
+        i = in.nextLong() ;                                                       //taking inputs from the User say "6" and "8"
+        j = in.nextLong();
+        System.out.println("The GCD of numbers "+ i + " and " + j + " is : " +  gcdOfFactorial(i, j));                                   //Method Call with parameter pass as "i" and "j"
+    }
+}