Question

find HCF of 96 and 404 by prime factorization method hence find their LCM with full procedure​

Answer 1

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Step-by-step explanation:

Represent 96 and 404 as a product of its prime factors.

Prime factorization  of 96 is 2 × 2 × 2 × 2 × 2 × 3 

Prime factorization of 404 is 2 × 2 × 101

HCF is the product of the factors that are common to each of the given numbers.

Since, the common factors are 2 and 2, the HCF of 96 and 404 is 4

We will use the formula to calculate the LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Using the formula,

LCM (96, 404) = (96 × 404) / HCF (96, 404)

By substituting the values,

                        = (96 × 404) / 4

                        = 96 × 101

                        = 9696

Therefore, the HCF of 96 and 404 is 4, and the LCM of 96 and 404 is 9696

Answer 2

Answer:

HCF [96,404]

404=96×4+20

96=20×4+16

20=16×1+4

16=4×4+0

HCF(96,404)=4

LCM= 9696