Question

Find the HCF and LCM of 1152 and 1664 by long division method

Answer 1

Answer:

Prime factorisation of 1152 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Prime factorisation of 1664 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13

HCF of 1152 and 1664 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128.

We know that,

One number × Other number = HCF × LCM

1152 ×1664 = 128 × LCM

LCM = ( 1152 × 1664/128 )

LCM = 14976.

Product of two numbers = 1152 × 1664 = 1916928.

LCM × HCF = 14976 × 128 = 1916928.

Hence,

Product of two Numbers = HCF × LCM

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Explanation: