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a) Use the Euclidean Algorithm to find gcd(503, 302301). (b) Write gcd(503, 302301) as a linear...

a) Use the Euclidean Algorithm to find gcd(503, 302301).

(b) Write gcd(503, 302301) as a linear combination of 38 and 49.

(c) What is an inverse of 503 modulo 302301?

(d) Solve 503x ≡ 2 (mod 302301)

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