GFCI are known to go bad, but not nearly at the rates many people think. When GFCI really fail the common failure modes are:
- not tripping in the presence of a fault current
- not being able to reset the GFCI after it tripped
Random trips as a result of a defect GFCI are rare.
In the majority of cases there is a real reason for the supposedly bogus "nuisance trip" such as humidity (often in conjunction with dust/dirt), defect appliances (especially motors/transformers where copper coils are only insulated with a thin coat of lacquer) or deteriorating wire insulation (either due to age or damaged by handyman or rodent).
Needless to say, bypassing or removing a GFCI because it keeps tripping creates a really dangerous situation since in the majority of cases the GFCI was alerting you to the presence of a real problem.
I don't like it when one GFCI is used to protect several locations since it makes locating the problem harder. My recommendation for a first step would be to install two more GFCI to protect each of the two bathrooms and the powder room separately. Troubleshooting will become easier once you know in which room to look for the problem.--
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