How To Root Android Samsung Galaxy S3 Verizon
Step 1: Download and install Samsung usb mobile phone drivers on your computer.
Step 2: Download GS3_debugfs-root_r2.7z
Step 3: Extract GS3_debugfs-root_r2.7z into a directory on your computer.
Step 4: Enable installation of third-party apps on your phone (Settings –> Security –> Unknown sources, near the bottom in the “Device administration” section)
Step 5: Enable USB debugging on your phone (Settings –> Developer options –> USB debugging)
Step 6: Plug your phone into a USB port on your computer, after connect plug usb double-click RootDebugfs.bat and follow the directions on the screen. Your phone will reboot 3 or 4 times during the process. just leave it plugged in. To be safe, don’t switch to any other applications while the root process is running.