The gaming system receives a wager from a player for a play of a game including a plurality of multi-component symbols. Each of the multi-component symbols includes a plurality of symbol component locations. A plurality of the multi-component symbols include at least one of the symbol components in at least one of the symbol component locations. The gaming system randomly generates and displays a plurality of the multi-component symbols. The gaming system determines, for a first one of a designated number of the displayed multi-component symbols, a quantity of symbol component locations of the first one of the displayed multi-component symbols that display one of the symbol components and that correspond to a symbol component location of each of the other displayed multi-component symbols of the designated number of the displayed multi-component symbols that each display one of the symbol components. Any awards are determined based on the determined quantity.