nitinvaid20 :
Yes Running does not depend on CPU its the Motherboard and PSU
as you are already running GTX650 then your board has PCI-E slot which is needed for the GPU
but i want to know how much watt is your PSU?
and which brand?
Becouse you have to check if your PSU is enofgh to power the GTX1070 or not as 1070 needs additional power supply cable
Our psu has 500watt dunno the brand but here is a link to the exact computer we have that we bought 4 years ago
https://www.netonnet.se/art/dator/stationara-datorer/desktop/asus-m51ac-nr001s/187650.8943/