Question

(a) What is the HCF of two consecutive odd numbers?
(b) What is the HCF of any two prime numbers?​

Answer 1

Answer:

a)1...

b)A prime number is the number which has only two factors,1 and the number itself. hence 1 is only common factor fir two prime numbers making it HCF.

Answer 2

question:

(a) What is the HCF of two consecutive odd numbers?

(b) What is the HCF of any two prime numbers?

answer:

a.)The set of natural numbers is (N)={1.2,3,4,5,........}.

Among these natural numbers 1,3,5,7,9,....... are odd consecutive ones.

It is evident that there is no common factor (except 1) between two consecutive odd natural number.

So HCF of two consecutive odd natural numbers is 1.

b.)A prime number is the number which has only two factors,1

and the number itself.

hence 1 is only common factor fir two prime numbers making it HCF.

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