Step 1: Conceptual Grasp:
The query requires identifying the river linked to the Gandikota Gorge, a distinct Indian geographical formation.
Step 2: Explanatory Details:
Gandikota, a village and historic fort, is situated on the right bank of the Penna River (also known as Pennar) in Andhra Pradesh's Kadapa district. This river has sculpted a profound gorge through the Erramala hills, resulting in the visually striking "Grand Canyon of India." The alternative rivers cited are located in disparate Indian regions and bear no connection to this gorge.
Step 3: Conclusive Response:
The Penna River is the waterway that traverses the Gandikota Gorge.