Electric Vehicles (EVs) are viewed as a promising solution to reduce carbon footprint in transportation. However, without proper coordination, a large scale of simultaneous EV charging activities can cause voltage collapse and frequency instability in power systems. In literature, various methods have been proposed for EV charging coordination. Nevertheless, most of them only focus on active power control. More recent researches have considered Vehicle-to-Grid (V2G) based var compensation, however, they are based on heuristic methods, which are not computationally efficient and the global optimal cannot be guaranteed. In this paper, a distributed EV charging coordinating scheme is proposed for efficiently coordinating EV charging processes and computing V2G based var capacity. Case studies show that the proposed distributed coordination not only has a similar performance as central coordination in terms of gaining economic benefits, but also takes significantly less computational time than the central coordination.