Forum Thread: How Do I Root My Galaxy s3 4.3

why dont you want to use your computer its easier and simpler .. the steps goes like this
1- install adb drivers on your pc
2- boot into DOWNLOAD mode (your phone)
2- download the clockworkMod for s3 using ODIN
3- install su as a .zip from RECOVERY mode

I just rooted my GS3 with advices Kingo Root. I can't understand how easy way to root your Android phone :-)

YOu can Use Superoneclick and root your Mobile you can need without pc rooting you install Formaroot in your Mobile

You can use Superoneclick and root your Mobile

http://galaxys3root.com/galaxy-s3-root/how-to-root-galaxy-s3-on-android-4-34-4-2-new/
That's what I used. But you know, a lot of apps won't work on a rooted phone so think before you root!