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Efficient utilization of available resources and the avoidance of overload conditions have high importance for any communication network. For a CSMA based VANET the wireless bandwidth must be shared fairly among all nodes. In VANET the network and available bandwidth are in dynamical structures. Thus, if the congestion control is not provided for the VANET based broadcast communication; the lower priority applications may use the entire spectrum and may cause starvation of some important applications. In this work it is shown that our proposed MCAF (Most Congested Access First) throughput improvement method also provides fair data rate per node in vehicular communication. The data rate per node with fair spectrum allocation is determined using the MCAF simulation and calculation results. Finally, the evaluated results are confirmed by comparing them with the results of other works evaluated in the literature.