Determine whether the integers in each of these sets are pairwise relatively prime (making sure to show your reasoning):

  • matematika

    Subject:

    Math
  • Author:

    eliza
  • Created:

    1 year ago

Answers 1

Answer:

My thought process: the integers are pairwise relatively prime if all the gcd of that set of integers listed below are 1.

a) {31,34,55}

gcd(31,34)=1, gcd(31,55)=1, gcd(34,55)=1.

Answer: Yes, pairwise relatively prime

b) {14,17,85}

gcd(14,17)=1, gcd(14,85)=1, gcd(17,85)=1.

Answer: Yes, pairwise relatively prime

c) {25,41,49,64}

gcd(25,41)=1, gcd(25,49)=1, gcd(25,64)=1, gcd(41,49)=1, gcd(41,64)=1, gcd(49,64)=1.

Answer: Yes, pairwise relatively prime

d) {7,8,9,1}

gcd(7,8)=1, gcd(7,9)=1, gcd(7,1)=1, gcd(8,9)=1, gcd(8,1)=1, gcd(9,1)=1.

Answer: Yes, pairwise relatively prime

Step-by-step explanation:

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