I agree with the suggestions to first test out components with software as well as physical checks to make sure everything is working as it should - free of dust, no dodgy connections or cables, all properly seated etc.
One you have confirmed all this and the pc is running properly, if you still find you are experiencing the fan speed / noise issues then I’d suggest a couple of other things to try.
First, have you tried the free, open source Fan Control app? If not, you can get it from here: Home - Fan Control (getfancontrol.com)
Jay2C liked it very much in this YT video: Everyone NEEDS this FREE piece of software… You will thank me! - YouTube
This is a powerful and flexible piece of software, that offers a level of control across all of your pc cooling that has not been readily and conveniently available before. You can control every fan in the pc from the app, setting individual curves, response rates and boundary temperatures as required. You can also set your cooling fans to respond to a mix of all the temperature sensors, so that not just one component is hot and with busy / noisy fans while the rest are quiet.
In practice this ‘Mix’ option means that instead of, say the cpu or gpu getting hot and spinning it’s fans while the case and other component fans are idling, you can gently ramp up all (or any combination you choose) of the fans in response to the hot gpu, cpu, or whatever. This increases overall airflow and acts to cool the cpu radiator even before the heat soak from the gpu reaches it. Overall, you get a more consistent and quieter cooling performance from the pc. You can also set the reaction times and curves, which specifically avoids the problem of fans suddenly revving up to high speed, backing off for a few seconds, then racing back to maximum speed and suddenly cutting back to idle.
Second thought would be the fans themselves - you don’t mention what brand or size are being used, but wherever possible I have replaced them with be quiet! fans and it has always been an improvement in cooling and particularly noise. Changing the Corsair ML 120mm fans from my old cpu cooler to BQ made a very audible difference, as did switching out the Phanteks fans that came with my pc case for 140mm BQ ones.
Good luck with your investigations, hope you get it sorted out.