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Q.

Find the HCF and LCM of 510 and 92 using prime factorization method.


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a

     2 and 23460

b

    13 and 42076

c

    13and 1822

d

    1and 1130 

answer is A.

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Detailed Solution

Given,
The numbers are 510 and 92.
The product of prime factors of all three numbers are,
⇒510=2×3×17×5×1 ⇒92=2×2×23×1 ⇒HCF(510,92)=2 ⇒LCM(510,92)=2×2×3×5×17×23 ⇒LCM(510,92)=23460  
Thus, the HCF is 2 and LCM is 23460.
Therefore, option(1)     is correct answer
 
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Find the HCF and LCM of 510 and 92 using prime factorization method.