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Q.

Find the HCF of 144 and 216.


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a

38

b

72

c

120

d

144  

answer is B.

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Detailed Solution

Given numbers are 216 and 144.
Factors of 144, 216 are,
2 144 2 72 2 36 2 18 3 9 3 3 1  
144=2×2×2×2×3×3.
2 216 2 108 2 54 3 27 3 9 3 3 1  
216=2×2×2×3×3×3.
Since, the common factors are 2×2×2×3×3=72.
Thus, the HCF of 144 and 216 is 72.
Hence, the correct option is 2.
 
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