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Find the greatest number which exactly divides 280 and 1245 leaving remianders 4and 3 respectively.

Posted by Sanjana Chimurkar 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 6 years, 9 months ago

To find the largest number which exactly divides 280 and 1245 living remainders 4 and 3 respectively, we subtract 4 and 3 from 280 and 1245.
280 - 4 = 276
1245 - 3 = 1242

276 = 2 x 2 x 3 x 23
1242 = 2 x 3 x 3 x 3 x 23

HCF = 2 x 3 x 23 = 138
Therefore, the largest number which exactly devides 280 and 1245 living remainders 4 and 3 respectively is 138.

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