# Euclid's Algorithm for Greatest Common Divisor

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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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