a GFI and a breaker are two totally different devices, and a GFI is NOT a substitute for a breaker.
a GFI must be placed anywhere there is water of any kind within 1 meter of an outlet, and will only "break" when current passes through the ground.... the GFI will be installed like any other outlet, and will be connected to a corrisponding breaker.
the utility room and bathroom, may share a breaker, but it is litterally quite (physically) impossible for a single outlet to be shared in multiple rooms, especially on multiple floors