You really don't know how GPS works, do you? Start reading
these[
^].
I consumer electronics, the GPS signal is not as exact as the military version. It's an approximation that is affected by the number of satellites the receiver can "see", effects of atmospheric distortion and interference from "ground clutter".
The last I heard, the current accuracy is somewhere around 50 feet, depending on conditions.
You will never get an "exact" position without upgrades to the current GPS constellation of satellites and receivers.