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Q.

Find the HCF and LCM of 32 and 48.


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a

96

b

95

c

92

d

98 

answer is A.

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Detailed Solution

Concept-First, we need to factor 32 and 48 into prime factors using the factorization method. After prime factorization, we need the common divisors of 32 and 48. Among the divisors of 32 and 48, I need to find the greatest common divisor of 32 and 48. To find the LCM, we need to find  multiples of 32 and 48. Among the multiples of 32 and 48, I need to find the lowest common multiple of 32 and 48.
Here, an integer is represented as the product of  irreducible (prime) factors.
Question Image
So, Question ImageHence, the correct answer is option 1).
 
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Find the HCF and LCM of 32 and 48.