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Q.

The HCF of 144 and 198 is


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a

9

b

12

c

6

d

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=2×2×2×2×3×3 ⇒144=24×32 198=2×3×3×11 ⇒198=2×32×11 We know that the HCF of two or more numbers is the sum of all their prime factors. HCF(144,198)=2×32 ⇒HCF=2×9 ⇒HCF=18 So, the HCF of 144 and 198 is 18.
Hence, option 4 is correct.
 
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