Question

HCF of 1152 and 1664 by using prime factorization​

Answer 1

AnswEr:-

Prime factorisation:- The method of prime factorization is used to “break down” or express a given number as a product of prime numbers.

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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

Additional Information:-

We know that,

1st number × 2nd number = HCF × LCM

1152 × 1664 = 128 × LCM

LCM = ( 1152 × 1664 / 128)

LCM = 14976

★ Verification:-

Product of two numbers = 1152 × 1664

= 1916928

LCM × HCF = 14976 × 128

= 1916928

Hence,

Product of two numbers = HCF × LCM

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