Yucai Primary School took out a piece of cuboid wood, which was 180 cm long, 144 cm wide, and 108 cm high, and asked Master Wang to saw it into a cube of the same size with a side length of an integer centimeter. The volume of the wood block should be the largest and there should be no remaining wood , Do the math, how many pieces can it be sawn into?
育才小学拿出一块长方体木料，长180厘米，宽144厘米，高108厘米，请王师傅把它锯成边长是整数厘米，大小相同的正方体木块，木块的体积要最大木料又不能剩余，算一算，可以锯成几块？
<gadget id="calculator">2 * 2 * 3 * 3</gadget>
<output>36</output>

<gadget id="calculator">180 / 36</gadget>
<output>5</output>

<gadget id="calculator">144 / 36</gadget>
<output>4</output>

<gadget id="calculator">108 / 36</gadget>
<output>3</output>

<gadget id="calculator">5 * 4 * 3</gadget>
<output>60</output>

<result>60</result>