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Find the HCF of the numbers in each of the following, using the prime factorization method:504, 980 - Mathematics

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Question

Find the HCF of the numbers in each of the following, using the prime factorization method:
504, 980

Sum

Solution

The given numbers are 504 and 980.
We have:

504 = 2 × 2 ×2 × 3 × 3 × 7 = 2× 3× 7
980 = 2 × 2 × 5× 7 × 7 = 22 × 5 × 72
∴ HCF of the given numbers = 22 × 7 = 28

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Chapter 2: Factors and Multiples - Exercise 2D [Page 36]

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RS Aggarwal Mathematics [English] Class 6
Chapter 2 Factors and Multiples
Exercise 2D | Q 3 | Page 36

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