How to tame basically any carnivore with raw prime meat:

Knock out what you want to tame and starve it for the amount of time indicated on Dododex (note: if you're taming royal griffins on mobile, you'll need to starve it for ~60% more time than what Dododex says, and you should use allosaurus kibble instead of raw prime meat instead if you don't wanna spend the entire day on ark and actually want to go outside or interact with people in your home). Then, literally just go find a stego, argy, carno, paracer, sarco, diplo, mammoth, bronto or rex, kill it with a good carnivore, and harvest their bodies with said good carnivore or good sword. Finally, transfer all the raw prime meat to the knocked out dino's inventory and it should tame really fast. The nice thing about this is that you can easily find more stegos, argies, carnos, sarcos, diplos, mammoths, brontos, or rexes since they are common in the places they spawn, so you can always depend on them to spawn nearby for free prime meat.