# Euclid's Algorithm for Greatest Common Divisor

1.

(a) Use the Euclidcan Algorithm to find the greatest common divisor of 13 and 21

(b) Is 13 invertible in Z21? If so, find the reciprocal.

(c) Suppose x and yare integers, what is the minimum positive value for 13x+21y?

Determine all posible values of (x,y) for which the minimum is obtained.

(PLEASE SEE ATTACHMENT FOR EXPLANATION OF EUCLID'S ALGORITHM AND COMPLETE PROBLEM)

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Euclid's Algorithm for Greatest Common Divisor is investigated. The solution is detailed and well presented.

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