Cut a piece of cardboard with a length of 75 cm and a width of 60 cm into several squares of the same size, so that there is no remaining cardboard, and the area of the cut squares is as large as possible. How many identical squares can be cut in total?
将一张长75厘米，宽60厘米的硬纸板剪成多个同样大小的正方形，使得硬纸板没有剩余，并且剪成的正方形的面积尽可能大，一共可以剪几个相同的正方形？
<gadget id="calculator">3 * 5</gadget>
<output>15</output>

<gadget id="calculator">15 * 15</gadget>
<output>225</output>

<gadget id="calculator">60 / 225</gadget>
<output>4/15 = around 0.266667</output>

<gadget id="calculator">75 * (4/15)</gadget>
<output>20</output>

<result>20</result>