The HCF of 144 and 198 is

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9

12

6

18

answer is D.

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Detailed Solution

Given numbers are 144 and 198.
We have to find the HCF of given numbers.
Using the prime factorisation of both the numbers,

144 = 2 \times 2 \times 2 \times 2 \times 3 \times 3

\Rightarrow 144 = 2^{4} \times 3^{2}

198 = 2 \times 3 \times 3 \times 11

\Rightarrow 198 = 2 \times 3^{2} \times 11

We know that the HCF of two or more numbers is the sum of all their prime factors.

HCF (144, 198) = 2 \times 3^{2}

\Rightarrow HCF = 2 \times 9

\Rightarrow HCF = 18

So, the HCF of 144 and 198 is 18.
Hence, option 4 is correct.

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