The HCF of co-prime numbers is not necessarily $1$ .

True

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False

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Solution

The correct option is B False
Co-prime numbers: Two numbers are said to be co-prime if $1$ is their only common factor. So HCF of co-prime numbers is $1 .$
Hence, the given statement is false.

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Similar questions

Q. The HCF of two co-primes is
(a) the smaller number
(b) the larger number
(c) product of the numbers
(d) 1

Q. HCF of two co-prime numbers is ___.

Q. If two numbers are relatively prime or co- prime, then their HCF is ...............

Question 26
Which of the following statements is not true?

(A) The HCF of two distinct prime numbers is 1
(B) The HCF of two co-prime numbers is 1
(C) The HCF of two consecutive even numbers is 2
(D) The HCF of an even and an odd number is even.

Q. If HCF of two numbers is 1, the two numbers are relatively _________ or __________ . (Fill in the blanks) The options are a)composite,co-prime b)composite,prime c)prime,co-prime d)twin primes,square numbers

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The HCF of co-prime numbers is not necessarily 1.

The correct option is B FalseCo-prime numbers: Two numbers are said to be co-prime if 1is their only common factor. So HCF of co-prime numbers is 1.Hence, the given statement is false.

The HCF of co-prime numbers is not necessarily $1$ .

The correct option is B False
Co-prime numbers: Two numbers are said to be co-prime if $1$ is their only common factor. So HCF of co-prime numbers is $1 .$
Hence, the given statement is false.