Backward compatibility of GDDR5 Graphics Cards PCIe 3.0 x16

Free Tech Bros

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May 12, 2015
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If there is a "GDDR5 Graphics Card PCIe 3.0 and needs x16" and I have a "MOBO that has PCIe 2.0 x8 slot":
Will the GPU still at least work in that MOBO at 1/4th the efficiency or speed?
( PCIe 3.0 to PCIe 2.0 means half the speed, then again x16 to x8 means half the speed so in total it is 1/4, right :p )
Or is there anything that is not matching up or I am missing in here?
 
Solution
This article will clearly gives all the info you need -
https://www.pugetsystems.com/labs/articles/Impact-of-PCI-E-Speed-on-Gaming-Performance-518/