A networked gaming system and method with a central true random number generator (“TRNG”) for generating random numbers (“RNs”). The RNs are supplied to electronic gaming machines (“EGMs”) on a network and are used to determine game outcomes. The system and method are configured to gather requests for RNs from EGMs in batches that are coordinated by a RNG server where the RNG server receives RN requests from EGMs and routes the requests in batches to the central TRNG. The central TRNG responds to the RNG server with a batch of RNs that are then distributed to the EGMs within an acceptable response time.