Question what graphic card would fit the best and the most with "H55H-M" motherboard?

[Immortality]

I'm looking for the best possible graphic card possible for this motherboard. Should I use a 1 Gb DDR3 or 2 Gb DDR3? What specific graphic card should I install in PCI-e 16x?
Thanks in advance.

 

[ceriumin]

I'm looking for the best possible graphic card possible for this motherboard. Should I use a 1 Gb DDR3 or 2 Gb DDR3? What specific graphic card should I install in PCI-e 16x?
Thanks in advance.

Firstly, don't worry about gpu incompatibility as most modern/older motherboards have a PCI slot. Secondly I need your full specs and your budget.

 

[Immortality]

Firstly, don't worry about gpu incompatibility as most modern/older motherboards have a PCI slot. Secondly I need your full specs and your budget.

I installed two 2Gb DDR3 1333 RAM and a Core i3 cpu.
the cost is not important I want the best possible choice with my specs
I really appreciated and grateful answering my question.

 

[ceriumin]

I installed two 2Gb DDR3 1333 RAM and a Core i3 cpu.
the cost is not important I want the best possible choice with my specs
I really appreciated and grateful answering my question.

Alright, can you just state your exact CPU model? (i.e i3 8100) It will help alot

 

[Immortality]

Alright, can you just state your exact CPU model? (i.e i3 8100) It will help alot

Sure, Thank you for answering so quickly.
It is "Intel Core i3 540 3.07GHz".

 

[scout_03]

list the other parts specs mobo and psu with case .