Question

which of the following pair of numbers is co-prime? 9 and 12 14 and 21 6 and 35 39 and 65

Answer 1

any number is not the pair of co prime because in every pair there is a composite number

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Answer 2

Answer:

A Co-prime number is a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1.

(a)

Factors of 18 = 1, 2, 3, 6, 9,18

Factors of 35 = 1, 5, 7, 35

Common factor of 18 and 35 = 1

Since both have only one common factor, i.e., 1, therefore, they are co-prime numbers.

Factors of 15 = 1, 3, 5,15

Factors of 37 = 1, 37

Common factor of 15 and 37 = 1

since both have only one common factor, i.e., 1, therefore, they are co-prime numbers.

(c)

Factors of 30 = 1, 2, 3, 5, 6, 15, 30

Factors of 415 = 1, 5, 83, 415

Common factor of 30 and 415 = 1,5

Since both have more than one common factor, therefore, they are not co-prime numbers

(d)

Factors of 17 = 1, 17

Factors of 68 = 1, 2, 4, 17, 34, 86

Common factor of 17 and 68 = 1, 17

Since, both have more than one common factor, therefore, they are not co-prime numbers

Step-by-step explanation:

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