When newer firmwares are released for a certain device, sometimes that firmware includes new bootloaders that prevent kernels based on the old firmwares from booting. This usually coincides with a transition to a newer Android version. In that case, the CF-Auto-Root for download here may no longer work – flashing or booting might fail.
To be clear, just because you have a newer Android version than listed here, does NOT mean the CF-Auto-Root will not work – there’s a good chance that it will!
All downloads contain .tar.md5 files flashable in ODIN as PDA.
A modified recovery and cache partition will be flashed, which will install (only) SuperSU, then clean-up the cache partition and re-flash the stock recovery.
For the root to work, the device must reboot into recovery. Most devices will do this automatically after flashing these files, but in case that does not happen, please boot into recovery manually.
If you have locked bootloaders, flashing one of these will probably brick your device – with the exception of Nexus devices, which will usually automatically “OEM unlock” and wipe your data !