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Find The H.C.F Of-504,980 Using Prime Factorisation
Given: 504, and 180
To find: We have to find the HCF of 504, and 180.
Solution:
Write down both the numbers as a product of their prime factors:
- The prime factors of 504 are: 2, 2, 2, 3, 3, 7
- The prime factors of 980 are: 2, 2, 5, 7, 7
List of all the common prime factors: 2, 2, 7
Find the product of all common prime factors: 2 x 2 x 7 = 28
So, the HCF of 504 and 980 is 28.
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