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

Answer» 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\xa0from the cases.126 =2× 3 x 3 x 7 ,540= 2×2×3×3 x 3 x 5⇒ x = 2×3×3 = 18∴\xa0largest number which divides 126 and 540 leaving remainder 3 and 5 in case is 18.


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