How many same long pieces of this two blades can be do the biggest? How long is one piece?

Result

n =  17
l =  0.25 m

#### Solution:

$250=2 \cdot 5^3 \ \\ 175=5^2 \cdot 7 \ \\ \text{GCD}(250, 175)=5^2=25 \ \\ \ \\ x=GCD(250,175)=25 \ \\ l=x / 100=25 / 100=\dfrac{ 1 }{ 4 }=0.25 \ \\ n=(2.5+1.75)/l=(2.5+1.75)/0.25=17$
$l=0.25=\dfrac{ 1 }{ 4 }=0.25 \ \text{m}$

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