This document introduces the Scheduled Group Contention MAC (SGCMAC) protocol, designed to manage Medium Access Control (MAC) for dense Machine-to-Machine (M2M) networks by reducing contention overhead through group-based contention strategies. SGCMAC categorizes devices into groups based on their traffic types, and it allows only designated group leaders to contend for channel access, effectively mitigating congestion and optimizing resource allocation. Simulation results demonstrate that SGCMAC outperforms existing group-based contention MAC protocols, improving throughput and reducing delay in M2M scenarios.