Delhi Police Constable Exam Model Paper 6

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