Question 1 (i)

Find the HCF of the following numbers:
18, 54, 81

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Solution

HCF of two or more number is the highest number which divides the given numbers exactly.
Factors of 18 = $2 \times 3 \times 3$
Factors of 54 = $2 \times 3 \times 3 \times 3$
Factors of 81 = $3 \times 3 \times 3 \times 3$
HCF of 18, 54, and 81 = $3 \times 3 = 9$

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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

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Question 2 (i)
Find the LCM and HCF of 26, 91 and verify that LCM $\times$ HCF = product of the two numbers.

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