By giving explicit analytic expressions for the component differences of the Shapley value，egalitari-an Shapley value，discounted Shapley value，Solidarity value，generalized Solidarity value，consensus value， Banzhaf value，and least square prenucleolus，this paper proposes a simplified algorithm for simultaneous cal-culation of these linear and anonymous values of transferable utility cooperative games． Specially，the algo-rithm is also suitable for calculating more than one of them． So as to illustrate the computational process and the advantages of the algorithm，a numerical example，as well as comparison between the simplified and tradi-tional algorithms，is provided． Ｒesults show that the simplified algorithm can decrease the time complexity of calculating more than one values contemporaneously．