Book Maths Puzzle

N is the greatest number which divides 1305, 4665 and 6905 and gives the same remainder in each case. What is the sum of the digits in N?

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Book Other Question

A boy divided the numbers 7654, 8506 and 9997 by a certain largest number and he gets same remainder in each case. What is the common remainder? The product of two numbers is 2028 and their HCF is 13. What are the number of such pairs?