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find thethe largest number whichof divides 129 and 545 leaving remainders 3 and 5 respectively

Posted by Sweety Verma 6 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Diya ? 6 years, 3 months ago

To find the largest number which divides 129 and 545 leaving remainder 3 and 5 i.e. HCF. Consider HCF be x. In order to make 129 and 545 completely divisible by x, we need to deduct the remainder 3 and 5 from the cases. 126 =2× 3 x 3 x 7 , 540= 2×2×3×3 x 3 x 5 ⇒ x = 2×3×3 = 18 ∴ largest number which divides 126 and 540 leaving remainder 3 and 5 in case is 18.

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