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Find the largest number which when divides the numbers 354 and 590 leaves a remainder of 3 and 5 respectively.

Find the largest number which when divides the numbers 354 and 590 leaves a remainder of 3 and 5 respectively. Correct Answer <span lang="EN-IN" style=" line-height: 107%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">117</span>

Given:

Numbers 354 and 590

Concept:

In cases where the largest number asked which when divided by some numbers leaves some remainder in each case, we subtract remainders from given numbers to get new numbers and find the HCF of these numbers to get the required largest number.

⇒ Required largest number = HCF(number – remainder, number – remainder)

Calculation:

Required largest number = HCF(354 – 3, 590 – 5)

= HCF (351, 585)

= 117

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