Question: 3. (a) Use the Euclidean algorithm to show that 344 and 391 are relatively prime. (b) Use the Euclidean algorithm backwards to determine values of

3. (a) Use the Euclidean algorithm to show that 344 and 391 are relatively prime. (b) Use the Euclidean algorithm backwards to determine values of z, y c Z such that 344r + 391y = 1. (c) Use your answer in part (b) to help you solve the linear congruence 344x = 10 (mod 391)

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