GFCIs are extremely sensitive to even the slightest current fluctuations. This is why they’re used in areas like bathrooms or kitchens: areas where there’s a danger of water getting inside the loads they’re providing power to.
GFCIs can also be used in series with regular outlets. This type of setup would also affect your GFCI if one of your loads plugged into your other outlets is the cause of it opening the circuit. Most house circuits are protected by breakers with the same amperage rating the GFCI is rated for (along with regular outlets).
However, like I wrote above, GFCIs are meant to open the circuit when there’s a drastic and sudden current change, unlike with your breaker feeding the GFCI. GFCIs have an inductor inside of them that senses these changes (example: dropping a radio in your bathtub). Your breaker or power strip on the other hand will trip when its maximum amperage rating is exceeded. Obviously, depending on regular current protection will not save you when it takes only milliamps to electrocute you.
I have two guesses here due to limited details. My first hunch would be one of your loads on the GFCI is causing it to trip. Many times inductive loads with motors can wreck havoc with GFCIs. One of your loads could also be faulty. What I would do here is unplug one load at a time, and see if it still trips.
My other guess is that excess moisture or humidity could be causing the GFCI to trip. Sometimes GFCIs themselves go bad after time or with excessive use. You had stated you’d replaced the GFCI, but it’s still possible it could be faulty. The latter situation is the least likely culprit in my opinion, but possible.