Altogether 82457

Mr. Novák needs three wooden poles 21 dm, 350 cm, and 2.8 m long. He needs to cut them into smaller pieces of the same length, as long as possible. How long will he get and how many pieces will he have altogether?

Correct answer:

x =  70 cm
n =  12

Step-by-step explanation:

a=21 dm cm=21 10  cm=210 cm b=350 cm c=2.8 m cm=2.8 100  cm=280 cm  210=2357 350=2527 280=2357 GCD(210,350,280)=257=70  x=GCD(a,b,c)=GCD(210,350,280)=70 cm
d=a+b+c=210+350+280=840 cm  n=d/x=840/70=12



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