According to a gaming system of the present invention, a part of the betted game media are cumulatively counted as the common-game cumulative value for the common game. When the common-game cumulative value has reached the specific value, the common game in which the game media in number corresponding to the specific value may be paid out is executed in each gaming machine. Based on the result of the common game in each gaming machine, a single gaming machine is determined and the game media in number corresponding to the specific value are paid out from the determined single gaming machine.