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(a) numbers?

(b) even numbers?

(c) odd numbers?

Answer :

(a) The common factor of two consecutive numbers is always 1.
Hence, their HCF = 1.

(b) The common factors of two consecutive even numbers are 1 and 2.
Hence, their HCF = 1 x 2 = 2.

(c) The common factor of two consecutive odd numbers is 1.
Hence, their HCF = 1.

- 1. Find the HCF of the following numbers : (a) 18, 48 (b) 30, 42 (c) 18, 60 (d) 27, 63 (e) 36, 84 (f) 34, 102 (g) 70, 105, 175 (h) 91, 112, 49 (i) 18, 54, 81 (j) 12, 45, 75
- 3. HCF of co-prime numbers 4 and 15 was found as follows by factorisation: 4 = 2 × 2 and 15 = 3 × 5 since there is no common prime factor, so HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?

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