Question: in Java please The Greatest Common Divisor [GCD] Directions : Implement the Euclidean Algorithm to compute the greatest common divisor of any two integers. These
in Java please
The Greatest Common Divisor [GCD]
Directions: Implement the Euclidean Algorithm to compute the greatest common divisor of any two integers. These two integers should be able to be positive, negative, zero, or any combination thereof. (Hint: be careful when dealing with zero and/or negative numbers.)
Input: 2 integers
a and
b Output: integer
d, which is the gcd of the two integers inputted by the user
Extra Credit: Find the linear combination of the 2 given integers which sums to their gcd, using backwards substitution. The program should display
a u + b v = d, where you would need to find integers
u and
v.
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
