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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 is the 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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