Solve the following using Extended Euclidean Algorithm to identify if a multiplicative inverse exists, if so what is it? 0) (180, 38) b) (180, 7) Solve the following using Fermat's Little Theorem: 3^31 mod 6 2^35 mod 6 6^10 mod 11
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Using the Extended Euclidean Algorithm: 180 = 4 * 38 + 28 38 = 1 * 28 + 10 28 = 2 * 10 + 8 10 = 1 * 8 + 2 8 = 4 * 2 So, gcd(180, 38) = 2. Since the gcd is not 1, the multiplicative inverse of 38 modulo 180 does not exist. b) We want to find the gcd(180, 7) and Show more…
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