Question: Question 5 [Points 21] [4 Points] Using Euclidean algorithm, determine GCD (132, 54 ) [5 Points] Find (450), the Eulers Phi function. (Note that 1,2,3,5,

Question 5 [Points 21]

  1. [4 Points] Using Euclidean algorithm, determine GCD (132, 54 )
  2. [5 Points] Find (450), the Eulers Phi function. (Note that 1,2,3,5, 7, etc. are the primes)
  3. [6 points] Find the multiplicative inverse of 3 in GF(13) domain using Fermats Little theorem.
  4. [6 points] Using Eulers theorem, find the following exponential: 4123 mod 39. Show how you have employed Eulers theorem here.

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