The factors of 77 are 1, 7, 11, and 77.
The factors of 13 are 1 and 13.
The only common factor of 77 and 13 is 1. Since the GCD is 1, the fraction cannot be simplified further.
Therefore, 77/13 is already in its simplest form. However, we can also perform the division: 77 ÷ 13 = 5 with no remainder. So the simplified form is $\boxed{5}$.