Use the Euclidean algorithm to finda) gcd(12,

Chapter 4, Problem 33E

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QUESTION:

Use the Euclidean algorithm to finda) gcd(12, 18).________________b) gcd(111, 201).________________c) gcd(1001, 1331).________________d) gcd( 12345, 54321).________________e) gcd(1000, 5040).________________f) gcd(9888, 6060).

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QUESTION:

Use the Euclidean algorithm to finda) gcd(12, 18).________________b) gcd(111, 201).________________c) gcd(1001, 1331).________________d) gcd( 12345, 54321).________________e) gcd(1000, 5040).________________f) gcd(9888, 6060).

ANSWER:

Solution:-Step1Given thatWe have to use the Euclidean algorithm to find gcd.Step2a) gcd(12, 18)By using Euclidean algorithmAs 6 is the last nonzero remainder.Therefore, gcd(12, 18) is 6.Step3b) gcd(111, 201)By using Euclidean algorithmAs 3 is the last nonzero r

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