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Q.

Find the HCF and LCM of 26 and 91 using prime factorization method.


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a

     12 and 180

b

    13 and 420

c

    13 and 182

d

    1 and 113 

answer is C.

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Detailed Solution

Given,
The numbers are 26 and 91.
The product of prime factors of all three numbers are,
⇒26=2×13×1 ⇒91=7×13×1 ⇒HCF(26,91)=13 ⇒LCM(26,91)=2×7×13×1 ⇒LCM(26,91)=182  
Thus, the HCF is 13 and LCM is 182.
Therefore, option(3)     is correct answer
 
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