Euclidean algorithm

1. Calculate 216 mod 123.

2. Calculate 314 mod 30.

3. Use the modular exponentiation algorithm to calculate 1519 mod 37.

4. Find gcd(143, 227), gcd(8, 182), gcd(125, 87) using Euclidean method.

5. Find the values of x2 and y2 from the given values (a, b) = (8, 182) by using extended Euclidean algorithm.

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