Ok, i still have a few questions i need help in. The reasons i want to root is so i can delete some built in apps like Google Music and such and so i can underclock my phone for battery life. Not interested in custom ROMs or anything over the edge. I dont have KNOX on my phone and the root tutorial im using doesnt have any root recovery file and im really nervous because i dont want to brick my phone.the only files it has is ODIN 3.07 and some CF-Auto-Root .zip. i need help please help answer my questions.
1. Since i dont have KNOX, will it make rooting easier?
2. Do i need a custom recovery?
3. Should i download SuperSU before, or after i root?
And also, can SuperSU underclock my phone or do i need a different app, and if so, what should i get?
Knox doesn't really affect rooting. I guess it does if you're not paying attention to what you're doing. If you flash a wrong .zip file, it'll hard brick your phone. Since you don't have it, it's nothing to worry about.
I'd suggest using a custom recovery, even though you're not going to use ROMs. If you're going to flash SuperSU, kernels, or whatever, I think a custom recovery works better. If you ever want to do a nandroid backup, you need a custom recovery for that. Also, it works better for wiping data, cache, and dalvik if you ever need to. I suggest using Philz Touch Recovery:
Philz. I should add that this only works with the US Galaxy S3 and not the international version. I suggest using Odin to install it. Download the .tar.md5 file to your computer. Turn off phone and go to Download Mode by pressing Volume Down+Home Button+Power Button at same time. Connect phone to computer with USB. In Odin, make sure auto-reboot is unchecked and PDA is checked. Click on PDA and find Philz .tar.md5 file. Then, click Install. After it says Pass!, you're rooted with custom recovery.
I suggest downloading SuperSU before you root. First thing you want to do after you root is to boot into recovery and flash the SuperSU .zip file:
SuperSU. After installing Philz via Odin, unplug phone from computer>take out battery>put battery back in>boot into recovery by pressing Volume Up+Home Button+Power Button at same time>install .zip file.
SuperSU does not underclock your phone. What it does is allow you to use apps that require rooted/superuser access. I'd suggest downloading a kernel tweaker app. I use TricksterMOD.