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Q.

Find the HCF and LCM of 336 and 54 using prime factorization method.


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a

     2 and 23460

b

    13 and 42076

c

    13and 1822

d

    6 and 3024 

answer is D.

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Detailed Solution

Given,
The numbers are336 and 54.
The product of prime factors of all three numbers are,
⇒336=2×2×2×2×7×3×1 ⇒54=2×3×3×3×1 ⇒HCF(336,54)=2×3 ⇒HCF(336,54)=6 ⇒LCM(336,54)=2×2×2×2×3×3×3×7 ⇒LCM(336,54)=3024  
Thus, the HCF is 6 and LCM is 3024.
Therefore, option(4)     is correct answer
 
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