Ready to start rooting your Samsung Galaxy S4? For those of you with the GT-i9500 model GS4, this quick video will walk you through the entire rooting process using Odin and CWM.
Power off you Galaxy S4 and hold down Volume Down, Center Home, and Power buttons together for about 5 seconds.
When you see the warning screen, let go of all buttons then hit the Volume Up button to enter ODIN Download mode.
Connect a micro-USB cable from your Galaxy S4 to your computer.
Next, download CWM recovery for your Galaxy S4. ClockworkMod is currently available for GT-i9500, Sprint SPH-L720, and T-Mobile SGH-M919 models.
Unzip ODIN and run the odin3 v1.85.exe file by double-clicking on it.
If you see a yellow highlighted box like shown below, you are good to go, if not, double-click on the Samsung USB drivers EXE file you downloaded earlier and install drivers, then unplug/re-plug the micro-USB cable to your phone. You should see yellow highlighted box.
Next, choose PDA, then browse to the CWM recovery you downloaded earlier for your Galaxy S4. (It's a file ending in .tar) Hit Start to begin flash CWM recovery to your phone.
This will flash a custom CWM recovery to your Galaxy S4 and your phone will reboot.
If you see "PASS!" that means everything went successfully.
Next, after your phone reboots, copy the SuperSU zip file you downloaded earlier to anywhere on your Galaxy S4.
Power off your Galaxy S4 then hold down Volume Up, Center Home, and Power buttons together.
When you see the Samsung logo, keep holding down Volume Up and Center Home buttons but let go of the Power button.
Once in CWM Recovery, choose "install zip from sdcard" and hit the Power button.
Choose "choose zip from sdcard" and hit the Power button.
Choose "0/" directory and hit the Power button.
Browse and find the SuperSU zip file you copied over earlier and hit the Power button.
Choose "Yes" and hit the Power button.
This will install su binaries and SuperSU superuser app on your phone. This essentially "roots" your Galaxy S4.
Go back to main menu and choose "reboot system now", then hit Power button. Your Galaxy S4 will reboot.
Once rebooted, you should find SuperSU app in your app drawer.
Run the SuperSU app once and update the binaries.
You can verify you have full root by downloading and opening rooted app like Titanium Backup app (which I highly recommend for backing up/freezing/un-installing your apps).
You should see a Superuser request window pop-up!
Congratulations, you have fully rooted your Galaxy S4!