Upgrading my GPU

[playzyoyo]

I tested out my pc on userbenchmark (http://www.userbenchmark.com) and every pc part was just fine for me, around 50% good. Then, I looked at my gpu results. FIVE PERCENT *mindblown*. I had to get a better gpu than this, but every gpu was too big for my motherboard. Here were the results:
CPU: Intel Core i5-4570T - 51.6%
GPU: Intel HD 4600 (Desktop 1.25 GHz) - 4.7%
HDD: Hitachi HTS725050A7E630 500GB - 68.9%
RAM: Samsung M471B5173DB0-YK0 0467 RMT3020EC58E9F1333 8GB - 46.3%
MBD: Lenovo 10AAS01N00

I am aware that I am a noob at this but if any of you have any good suggestions for a better GPU, please let me know. I would like anything lower than 350$ CAD. I was also thinking of replacing my motherboard AND my gpu, but every one I looked at was incompatible with the other parts. I also don't have a very big case:

Dimensions: 1.4" (35.6 mm) x 7" (177.8 mm) x 7.2" (182.9 mm)

So if anyone can find a small gpu that would be better than a Intel HD 4600 that is compatible with my motherboard, that would be just great. Thanks for any help ^-^

 

[volkgren]

Do you have the Small Form Factor or tower case?

 

[Bob125484]

With that small dimension, I think you have NUC Mini Desktop like this. If it is similar to this, there is no graphic card that small to fit it there plus I don't think it has PCI Express X16

https://www.newegg.com/Product/Product.aspx?Item=N82E16883102298&ignorebbr=1

 

[volkgren]

I thought he had this https://www3.lenovo.com/ca/en/desktops/thinkcentre/m-series-tiny/m93-m93p/

 

[playzyoyo]

Do you have the Small Form Factor or tower case?

It is indeed a small factor form.

 

[playzyoyo]

With that small dimension, I think you have NUC Mini Desktop like this. If it is similar to this, there is no graphic card that small to fit it there plus I don't think it has PCI Express X16

Is it possible to get a new case so I can find a better GPU?

 

[volkgren]

I'm not sure exactly what PC you have, but usually prebuilt small form factor systems have proprietary motherboards that won't fit in aftermarket cases.