The HCF of 144 and 198 is
(a) 9
(b) 12
(c) 6
(d) 18

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Solution

(d) 2 × 3² = 18
We first factorise the two numbers:

144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
198 = 2 × 3 × 3 × 11 = 2 × 3² × 11
Here, 18 (2 × 3² = 18) is the highest common factor of the two numbers.

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The HCF of 144 and 198 is (a) 9 (b) 12 (c) 6 (d) 18

(d) 2 × 32 = 18We first factorise the two numbers: 144 = 2 × 2 × 2 × 2 × 3 × 3 = 24 × 32 198 = 2 × 3 × 3 × 11 = 2 × 32 × 11Here, 18 (2 × 32 = 18) is the highest common factor of the two numbers.

The HCF of 144 and 198 is
(a) 9
(b) 12
(c) 6
(d) 18

(d) 2 × 3² = 18
We first factorise the two numbers:

144 = 2 × 2 × 2 × 2 × 3 × 3 = 2⁴ × 3²
198 = 2 × 3 × 3 × 11 = 2 × 3² × 11
Here, 18 (2 × 3² = 18) is the highest common factor of the two numbers.