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Q.

Find the HCF and the LCM of 81 and 237.


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a

9, 6399

b

9,2133

c

3, 6399

d

3, 2133 

answer is C.

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Detailed Solution

Concept- In order to get the LCM and HCF we must first know their factors.
We can get the factors by prime factorisation method.
With prime factorisation we can get the prime factors of that number.
Factors of 81:
Question ImageFactors of 237:
Question ImageGCF of 81 and 237 will be:
Question ImageBecause 81 and 237 have only 3 as their common factor.
LCM of 81 and 237:
Question ImageWe can also find LCM using this formula:
Question ImageP and Q are given numbers.
Question ImageHence, the correct answer is option 3.
 
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