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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?

No, the answer is not correct. 1 is the correct HCF. As  4 = 2 2 1 15 = 3 5 1 1 is common in both so HCF is 1.

2. What is the HCF of two consecutive
(a) numbers?     (b) even numbers?     (c) odd numbers?

(a) 1 e.g., HCF of 2 and 3 is 1. (b) 2 e.g., HCF of 2 and 4 is 2. (c) 1 e.g., HCF of 3 and 5 is 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

(a) 18, 48      18 = 2 x 3 x 3 48 = 2 x 2 x 2 x 2 x 3 HCF = 2 x 3 =6   (b) 30, 42 30 = 2 x 3 x 5 42 = 2 x 3 x 7 HCF = 2 x 3 =6   (c)  18, 60  18 = 2 x 3 x 3 60 = 2 x 2 x 3 x 5 HCF = 2 x 3 = 6   (d) 27, 63 27 = 3 x 3 x 3 63 = 3 x 3 x 7 HCF = 3 x 3 = 9   (e) 36, 84    36 = 2 x 3 x 3 x 3 84 = 2 x 2 x 3 x 7 HCF = 2 x 2 x 3 = 12   (f) 34, 102 34 = 2 x 17 102 = 2 x 3 x 17 HCF = 2 x 17 = 34   (g) 70,...
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