A quick look at the tables of thermodynamic values will show their use is very restrictive. The temperature must be 298 K, all concentrations must be 1 M and all gas pressures 1 atm. Since these condition are seldom met, we are generally using ΔG and it changes during the course of a reaction just as Q does!!!!

Here is how it all fits together:

ΔG = ΔGo + RT ln Qc
As a reaction approaches equilibrium, ΔG approaches 0 and Qc approaches Kc until:
0 = ΔGo + RT ln Kc
OR
ΔGo = -RT ln Kc
Look familiar?