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Q.

Find the HCF of 96 and 404 by prime factorisation method. Also find their LCM.


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a

2 and 9696

b

4 and 9696

c

4 and 3232

d

2 and 3232 

answer is B.

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Detailed Solution

Concept- Splitting the number into its prime factors is called prime factorisation.
With this we can know the factors of the numbers.
The common factors of the numbers will result in HCF.
Factors of 96:
Question ImageFactors of 404:
Question ImageCommon factors of 96 and 404 are 2 and 2.
Question ImageLCM is the least common multiple.
LCM of 96 and 404 will be:
Question ImageHence, the correct answer is option 2.
 
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