Dividing

Divide the three-line segment 13 cm, 26 cm, and 19.5 cm long for parts so that the individual pieces were equally long and longest. How long will the individual parts, and how many will it?

Correct answer:

x =  5 cm
n =  115

Step-by-step explanation:

$$\begin{gathered} 130=2\cdot 5\cdot 13 \\ 250=2\cdot 5^3 \\ 195=3\cdot 5\cdot 13 \\ \text{GCD}(130,250,195)=5 \\ x=GCD(130,250,195)=5\text{ cm} \end{gathered}$$

$n=(130+250+195)\mathrm{/}x=(130+250+195)\mathrm{/}5=115$

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