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

Apr 4, 2025 · GCD (Greatest Common Divisor) of two given numbers A and B is the highest number that can divide both A and B completely, i.e., leaving the remainder 0 in each case. GCD is also called HCF(Highest Common Factor).

Learn how to calculate the GCD of a given number using recursion in Java with this detailed guide.

Jan 27, 2015 · Generally, when we talk about recursion first thing we need to do is find the base case. Well, a gcd of a number and a 0 is always the number (Our base case). Next we need to say what % does. 5%10 = 5 and 10%5=0.

In this Article, we will write a program to Find G.C.D Using Recursion. Recursion in Java is a programming technique where a method calls itself repeatedly until a termination condition is met. The termination condition is necessary to avoid an infinite loop.

Feb 14, 2025 · Euclid’s algorithm is not only efficient but also easy to understand and easy to implement using recursion in Java. Euclid’s method depends on two important theorems: Second, when the smaller number exactly divides the larger number, the smaller number is the GCD of the two given numbers.

Mar 11, 2025 · Learn how to write a recursive method in Java to find the greatest common divisor (GCD) of two numbers. Understand the concept of GCD and implement a recursive algorithm to calculate it.

In this java program, we will learn about how to find the GCD or HCF using a recursion. The Greatest Common Divisor(GCD) of two or more integers, is the largest positive integer that divides the numbers without a remainder.

Jul 22, 2024 · Method-1: Java Program to Find Greatest Common Divisor (GCD) of Two Numbers By Using Static Input and Recursion. Approach: Call a user defined method calculateGCD() and pass the ‘ a ’,‘ b ’ as parameter. Inside the user defined method, check if the 2nd number is …

Jul 25, 2019 · return gcd(b % a, a); . int result = arr[0]; . for (int i = 1; i < n; i++) { result = gcd(arr[i], result); . return result; . The method gcd uses a recursive call gcd(b % a, a). So how does this recursive call works? I know the basics of how a recursion works but I am a little confused on how the gcd method on this piece of code uses recursion.