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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Define HCF of two positive integers and find HCF of the following pairs of numbers:

(1) 32 and 54

(2) 155 and 1385

Question 2 (iii)
Find the LCM and HCF of 336, 54 and verify that LCM $\times$ HCF = product of the two numbers.

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