With the rapid development of computer-supported cooperative work (CSCW) technology, graphical collaborative editing plays an increasingly important role in CSCW. The most important technique in graphics co-editing is the consistency of graphics co-editing, which mainly includes causality consistency, consistency of results, and consistency of intention. Most of the previous research was abstract and ineffective, lacking theoretical depth and scalability. However, because the algorithm proposed in this paper can solve the contradictions in the consistency of graphical collaborative editing, the research in this paper has particularity, and the results will be proven by the experiment described in the paper. In order to solve the consistency conflict problem of graphic collaborative editing, the common graphics collaborative editing algorithm (CGCE algorithm) is proposed. It is proposed not only to perfect and expand the definition of graphics collaborative editing but also to merge with HTML5 Canvas, WebSocket, jQuery, Node.js and other network programming languages and technologies. The graphic collaborative editing based on the design and implementation of this paper can effectively solve the consistency conflict problem of many users during the collaborative editing of graphics, which ensures that the graphics of each graphical collaborative editing interface is consistent and the collaborative work can achieve the desired effect.