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Larry5632:
Why did you ask the question?
Was it code related?
Was it relative to the function of the GFCI?
If you put a good 120 load on one of the receptacles it should not trip.
The same for the other circuit.
If you connected a good 240 load to the two hot outputs, then one or both GFCIs will trip.
The word good above means no leakage current to ground or somewhere else.
Your common source neutral must go to the input neutrals of the two GFCIs. You can not feed the second GFCI from the neutral output of the first GFCI.
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