Question

5. Select the coprime numbers from the following pairs of numbers.
(a) 7 and 14 (b) 18 and 17 (c) 36 and 25 (d) 35 and 25​

Answer 1

Answer:

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Coprime are the pair of numbers whose H. C. F is 1.

a) 7 and 14

7 = 1 × 7

14 = 2 × 7

H. C. F = 7

b) 18 and 17

18 = 1 × 2 × 3 × 3

17 = 1 × 17

H. C. F = 1

c) 36 and 25

36 = 1 × 2 × 2 × 3 × 3

25 = 1 × 5 × 5

H. C. F = 1

d) 35 and 25

35 = 5 × 7

25 = 5 × 5

H. C. F = 5

Hence,

b) (.18,17) and c) ( 36,25) are coprime number.

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Answer 2

Two numbers are co-prime if their highest common factor is 1

Therefore option (b) 18 and 17

and (c) 36 and 25 are correct