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Q.

What is the HCF of 24 and 36?


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a

12

b

24

c

35

d

6 

answer is A.

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Detailed Solution

We have to find the HCF of 24, 36.
The prime factorisation of 24 is
2 24 2 12 2 6 3 3 1  
So, 24=2×2×2×3  
The prime factorisation of 36 is
2 36 2 18 3 9 3 3 1  
So, 36=2×2×3×3  
So, HCF of 24 and 36 is given by the largest common factor,
HCF(24,36)=2×2×3 ⇒HCF(24,36)=12  
So, the HCF of 24 and 36 is 12.
So, the correct option is 1.
 
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What is the HCF of 24 and 36?