Question: 5. (a) (2 marks) Use the Euclidean Algorithm to find the greatest common divisor of 2223 and 2337. Show each step of the algorithm. (b)

5. (a) (2 marks) Use the Euclidean Algorithm to find the greatest common divisor of 2223 and 2337. Show each step of the algorithm. (b) (2 marks) Use the (extended) Euclidean Algorithm and your work from part (a) to find the multiplicative inverse of 39 in ZAI. (c) (1 mark) Use your answer from part (b) to solve the equation 39x =11 (mod 41) in Z41

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