(I think) This is correct:
Each pair in A and B, C and D, and E and F contain a shared component.
This seems less clear to me:
Each pair of A and B, C and D, and E and F contain a shared component.
(but maybe this is closer to normal (non-Geeky) English.)
This also seems less clear to me:
The pairs A and B, C and D, and E and F respectively contain common components.
