Given:Numbers 430 and 570 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 their HCF of these numbers to get the required largest number. ⇒ Required largest number = HCF (number – remainder, number – remainder) Calculation: Required largest number = HCF (430 – 4, 570 – 2) ⇒ HCF (426, 568) ⇒ 142