What is the largest number which will divide 307 and 330 leaves the remainder 3 and 7 respectively.

19

The numbers that divide completely:

a) 307 - 3 = 304

b) 330 - 7 = 323

The number that divide 304 and 323 completely and remains no remainder is = HCF of 304 & 323

Which is 19.

Hence, 19 is that largest number which divide 307 & 330, leaves remainder 3 and 7 resp.