In Jainism there isn’t a formal “gotra” system like in some Hindu traditions. Jains identify lineages more through family and guru/monastic lineages rather than a doctrinal gotra tied to surnames. Because Gadekar is a surname you have, it does not deterministically map to a Jain gotra in Digambar tradition.

Since Jain tradition does not prescribe a canonical gotra for individuals, your specific lineage would typically be known through family records, temple/community customs, or guidance from a local Jain scholar or elder in your community. If you want, I can help explain more about Digambar lineage practices or point to Jain texts that discuss family and guru lineages in a Jain context.