Let m and n be positive integers such that m = 24n + 51. What is the largest possible value of the greatest common divisor of m and n?
m = 24n + 51
n = 51 and m =24*51 + 51
m = 1275
GCD(n, m) =GCD(51, 1275) = 51 - greatest value of GCD of n and m.