Question

Write true (T) of false (F) for each of the following statements:

(i) The H.C.F of two distinct prime numbers is 1.
(ii) The H.C.F of two co-prime number is 1.
(iii) The H.C.F of an even and an odd numbers is 1.
(iv) The H.C.F of two consecutive even numbers is 2.
(v) The H.C.F of two consecutive odd numbers is 2.

Answer 1

(i) True.
(ii) True.
(iii) False.
HCF of 6 and 9 is 3, not 1.
(iv) True.
(v) False.
HCF of two consecutive odd number is 1.
Example: HCF of 25 and 27 is 1.