Answer:
(a) Let the two consecutive numbers be 8 and 9. Now, prime factorisation of \[8=2\times 2\times 2\] Prime factorisation of \[9=3\times 3\] Common factor of 8 and 9 = 1 Thus, HCF of 8 and 9 is 1. Note The HCF of two consecutive numbers is 1. (b) Let the two consecutive even numbers be 10 and 12. Now, prime factorisation of \[10=\times 5\] Prime factorisation of \[12=\times 2\times 3\] Common factor of 10 and 12 = 2 Thus, HCF of 10 and 12 is 2. Note The HCF of two consecutive even numbers is 2. (c) Let two consecutive odd numbers be 3 and 5. Prime factorisation of \[3=\times 3\] Prime factorisation of \[5=\times 5\] Common factor of 3 and 5 = 1 Thus, HCF of 3 and 5 is 1. Note The HCF of two consecutive odd numbers is 1.
You need to login to perform this action.
You will be redirected in
3 sec
