My rule of thumb is that the cheapest fans thrown in by builders, which have a nominal throughput of about 80cu.m/hr, are useless. They also wear quickly and become noisy, resulting in homeowners refusing to use them.
If you are having a ducted fan, there are several rated at about 240cu.m/hr, which I find effective. They are quieter than cheap fans. A shower or bathroom with no natural ventilation, IMO, needs an extractor that comes on with the light switch and has a 20 minute timed run-on. As well as keeping humidity down, it will remove odours, and the suction will draw air into the room through the gap under the door, which prevents steam and smells drifting around your home.
If you can put the ducted fan in the loft, even less noise will be heard, if you mount it on a heavy board padded with old carpet or similar.