I am working on a GPS problem involving Longitude and Latitude. I have 3 waypoints making a triangle and I need to find the center and the cooresponding coordinates to that center.

A= N 39 04.915
E 104 53 705

B= N 39 06.145
E 104 52.311

C= N 39 03 242
E 104 51.515

distances are A to B 2.77 miles
B to C 3.42 miles
C to A 1.12 miles

I know you draw a circle that touches on each point, but how can I derive a set of GPS ccordinates to find the location?

Can you find equations for the bisection of each side? The circumcenter is where all 3 bisections meet.

Are those coordinates you have posted?

The coordinates of A are N=3904.915 and E=10453.705?