Find the greatest number that will divide 580 and 925 leaving 5 as remainder in each case
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Given:
Two numbers are 580 and 679.
Concept Used:
HCF calculation is used.
Calculation:
The required numbers is HCF of (580 - 4) and (679-7)
(580 - 4) = 576
(679-7)=672
Prime factorization of 576 and 672,
(679-7)=672
Prime factorization of 576 and 672,
576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
6722x2x2x2x2x3 x 7
So, HCF of 204 and 340 = 2×2×2×2× 2 x 3 = 96
..The greatest number that will divide 580 and 679 leaving remainder 7 and 7 respectively is 96.
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