Step 1: Download and Install Samsung USB Driver on your computer. If Samsung USB Driver is already installed on your computer then Skip this Step. http://goo.gl/nvrBN4
Step 2: Download and extract the root files on your computer. After extracting you will be able to see the following files:
Step 3: Now, Switch off your Smartphone.
Step 4: After switching-off the phone, you need to boot into Download Mode. To boot into download mode Press and hold Zoom Left and Power button at same time for 5-8 seconds until download mode is active.
Step 5: In the Download mode you will be able to see a Warning Yellow Triangle Sign. In this situation you have to press the Zoom Right key to continue.
Step 6: Now, Open Odin3 (found in the extracted files, that you have downloaded in the Step#2) on your computer. Then connect your Smartphone to the computer.
Step 7: Once you have connected the Smartphone to the computer, Odin will automatically recognize the device and show “Added” message at the lower-left panel.
Step 8: Once your device is detected by Odin, click on the PDA button and select the CF-Auto-Root.tar file (you have downloaded this file in step#2). http://goo.gl/nvrBN4
Step 9: Now, click on the Start button in Odin to begin the Flashing.
Step 10: Flashing usually takes 30-50 seconds to complete the rooting process on your Samsung Galaxy S3 SCH-R530C. Once Rooting process is completed you will be able to see a Green Box with Pass written on it in Odin. During this process Smartphone will re-boot automatically.
Step 11: Once you see, the Pass message in Odin, you can disconnect your Device from the computer.
Step 12: Now, to make sure you have successfully rooted your Samsung Galaxy S3 SCH-R530C, open Applications Menu on your Smartphone and Find SuperSU App. If this app exist on your Smartphone then it means you have successfully rooted your device. Congratulations.
Optional: You can also verify that your device is successfully rooted or not by Root Checker Application.