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Question
Find the largest number which can divide both 324 and 144.
Options:
A .  21
B .  9
C .  36
D .  18
Answer: Option C
:
C
The largest number that can divide both 324 and 144 isthe HCF of both the numbers.
Prime factorising the two numbers we get,
324=2×2×3×3×3×3
144=2×2×2×2×3×3
Now, taking the common factors between them will give us the HCF.
HCF =2×2×3×3=36

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