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.
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.
Chapter7: Characters, Strings, And The Stringbuilder
Section: Chapter Questions
Problem 8PE
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Question
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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