What is the largest positive integer n such that 1457 and 1754 leave the same remainder when divided by n?
n=1; a=(1457 % n);b=(1754%n);if(a==b, goto4,goto5);printa,b,n; n++; if(n<2000, goto1, discard=0;
Rem n
0 0 1
2 2 3
8 8 9
5 5 11
26 26 27
5 5 33
71 71 99
269 269 297
So, the largest n = 297 with a remainder of 269
What is the largest positive integer n such that 1457 and 1754 leave the same remainder when divided by n?