Lab 15.1 Greatest Common DivisorA formula for finding the greatest common divisor (GCD) of two numbers was formulated by themathematician Euclid around 300 BCE. The GCD of two numbers is the largest number that will divideinto both numbers without any remainder. For example, the GCD of 12 and 16 is 4, the GCD of 18 and12 is 6.The basic algorithm is as follows:Assume we are computing the GCD of two integers x and y. Follow the steps below:1. Replace the larger of x and y with the remainder after (integer) dividing the larger number by thesmaller one.2. If x or y is zero, stop. The answer is the nonzero value.3 If neither x nor y is zero, go back to step 1.Here is an example listing the successive values of x and y:$ (135 / 20) - 15$ (20 / 15) = 5* (15 / 5) = 01352015201555GCD = 5Write a recursive method that finds the GCD of two numbers using Euclid's algorithm.public class Arithmetic{public static int gcd(int a, int b)// Your work hereLab 15.2 Tester for GCDWrite a tester program for your GCD algorithm.

Program code: import java.util.*;import java.lang.*;public class Main{ //Method to find gcd of 2…

Answered: Lab 15.2 Tester for GCD Write a tester…

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Lab 15.2 Tester for GCD Write a tester program for your GCD algorithm.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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