Question

5. Which of the following numbers are co-prime?
(a) 18 and 35 (b) 15 and 37 (c) 30 and 415​

Answer 1

Answer:

25&37 is the co-prime number

Answer 2

Answer:

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.

(b)  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

Hence, option a and b are co-primes.

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