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In: Advanced Math

All necessary steps much show for these problems, please. Use the Euclidean algorithm to find gcd(12345,...

All necessary steps much show for these problems, please.

  1. Use the Euclidean algorithm to find gcd(12345, 54321).
  2. Write gcd(2420, 70) as a linear combination of 2420 and 70. The work to obtain the gcd is provided.
    2420 = 34(70) + 40

70 = 1(40) + 30

40 = 1(30) + 10

30 = 3(10) + 0

  1. Determine if 1177 is prime or not. If it is not, then write 1177 as a product of primes
  2. Find gcd(8370, 465) by unique factorization into products of primes.
  3. Compute ?(39204) if 39204 = 2 ∙ 3 ∙ 11 .

Solutions

Expert Solution

Colby Messinger answered 1 year ago
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