Create an application that finds the greatest common divisor of two positive integers entered by the user. Console Greatest Common Divisor Finder Enter first number: 12 Enter second number: 8 Greatest common divisor: 4 Continue? (y/n): y Enter first number: 77 Enter second number: 33 Greatest common divisor: 11 Continue? (y/n): y Enter first number: 441 Enter second number: 252 Greatest common divisor: 63 Continue? (y/n): n Specifications The formula for finding the greatest common divisor of two positive integers x and y must follow the Euclidean algorithm as follows: Subtract x from y repeatedly until y < x. Swap the values of x and y. Repeat steps 1 and 2 until x = 0.  y is the greatest common divisor of the two numbers. You can use one loop for step 1 of the algorithm nested within a second loop for step 3. Assume that the user will enter valid integers for both numbers. The application should continue only if the user enters 'y' or 'Y' to continue. Note that if you do not implement the Euclidean algorithm, you will fail this assignment.

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
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Create an application that finds the greatest common divisor of two positive integers entered by the user. Console Greatest Common Divisor Finder Enter first number: 12 Enter second number: 8 Greatest common divisor: 4 Continue? (y/n): y Enter first number: 77 Enter second number: 33 Greatest common divisor: 11 Continue? (y/n): y Enter first number: 441 Enter second number: 252 Greatest common divisor: 63 Continue? (y/n): n Specifications The formula for finding the greatest common divisor of two positive integers x and y must follow the Euclidean algorithm as follows: Subtract x from y repeatedly until y < x. Swap the values of x and y. Repeat steps 1 and 2 until x = 0.  y is the greatest common divisor of the two numbers. You can use one loop for step 1 of the algorithm nested within a second loop for step 3. Assume that the user will enter valid integers for both numbers. The application should continue only if the user enters 'y' or 'Y' to continue. Note that if you do not implement the Euclidean algorithm, you will fail this assignment.
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