There is a rope with a length of 180 cm. Starting from one end, student A makes a mark every 3 cm, and student B makes a mark every 4 cm, and then cuts along the marked places respectively. How many pieces of rope were cut in total?
有一根长是180厘米的绳子，从一端开始，甲同学每3厘米做一个记号，乙同学每4厘米做一个记号，然后分别沿着有记号的地方剪断．绳子共被剪了多少段．
<gadget id="calculator">180 / 3</gadget>
<output>60</output>

<gadget id="calculator">60 - 1</gadget>
<output>59</output>

<gadget id="calculator">180 / 4</gadget>
<output>45</output>

<gadget id="calculator">45 - 1</gadget>
<output>44</output>

<gadget id="calculator">180 / 12</gadget>
<output>15</output>

<gadget id="calculator">15 - 1</gadget>
<output>14</output>

<gadget id="calculator">44 - 14</gadget>
<output>30</output>

<gadget id="calculator">59 + 30</gadget>
<output>89</output>

<gadget id="calculator">89 + 1</gadget>
<output>90</output>

<result>90</result>