Blades

1st blade 2,5 m, 2nd blade. .1.75 m.

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

Correct result:

n =  17
l =  0.25 m

Solution:

250=253 175=527 GCD(250,175)=52=25  x=GCD(250,175)=25 l=x/100=25/100=14=0.25 n=(2.5+1.75)/l=(2.5+1.75)/0.25=17250=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=14=14 m=0.25 m



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