Question: (a) Use the Euclidean algorithm to find GCD(497,121). (b) Express god(497,121) as a linear combination of 497 and 121. (c) Find an inverse of 497

(a) Use the Euclidean algorithm to find GCD(497,121). (b) Express god(497,121) as a linear combination of 497 and 121. (c) Find an inverse of 497 modulo 121. (d) Solve the linear congruence 497z = 23(mod 121). (2.5+2.5+1+2=8 marks)

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