Question

Which pair of numbers is relatively prime? A. 19 and 76 B. 60 and 77 C. 70 and 195 D. 18 and 105

Answer 1

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Answer 2

Answer:

The correct option is B. 60 and 77

Step-by-step explanation:

Consider the provided information.

We need to find which pair is relatively prime.

Relatively prime means the GCF of both the numbers should be 1.

Now consider the number.

Option 1)  19 and 76

19 = 19 × 1

76 = 2 × 2 × 19

Here GCF is 19 so the number are not relatively prime.

Option 2)  60 and 77

60 = 2 × 2 × 3 × 5

77 = 7 × 11

Here GCF is 1 so the number are relatively prime.

Option 3)  70 and 195

70 = 2 × 5 × 7

195 = 3 × 5 × 13

Here GCF is 5 so the number are not relatively prime.

Option 4)  18 and 105

18 = 2 × 3 × 3

105 = 3 × 5 × 7

Here GCF is 3 so the number are not relatively prime.

Hence, the correct option is B. 60 and 77