Question

Which of the following are a pair of co-primes:-

(a) 18 , 35 (b) 15 , 84​

Answer 1

Answer:

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Which of the following are a pair of co-primes:-

Which of the following are a pair of co-primes:-(a) 18 , 35 (b) 15 , 84

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1. 18, 35

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

Factor 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.

2. 15, 84

Factors of 15 = 1, 3, 5,15

Factors of 84 = 1, 2, 3, 4, 6, 12, 14, 21, 28, 42, 84

Common factor of 1t and 84 = 1 and 3

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

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A co-prime number is a number which has only one prime number which is 1.

Answer 2

Answer:

1. 18, 35

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

Factor 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.

2. 15, 84

Factors of 15 = 1, 3, 5,15

Factors of 84 = 1, 2, 3, 4, 6, 12, 14, 21, 28, 42, 84

Common factor of 15 and 84 = 1 and 3

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