Find the largest number which on dividing 1251,9377 and 15628 leaves remainder1,2 and 3 respectively

Find the largest number which on dividing 1251,9377 and 15628 leaves r

1.	Find the largest number which on dividing 1251,9377 and 15628 leaves remainder1,2 and 3 respectively
Answer» Subtract 1,2,3 from 1251, 9377,15628 respectively.1251-1=1250,9377-2=9375,15628-3=15625find the hcf of 1250 and 93759375= 12507+6251250=6252+0thus 625 is the hcfnow, find the hcf of 625 and 1562515625=625*25+0thus 625 is the number that divides 1251,9377 and 15628 leaving the remainders 1,2 and 3 respective