The lengths in feet of three pieces of timber are
144, 216, 240. The sawmill operator needs to cut
the timber into logs of equal length with no
waste. How many feet long is the largest
possible length she can cut?

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topeadeniran2 topeadeniran2 · Answer 1 · 2021-09-27T12:32:38+02:00

The equal length of the logs will be 200 feets each.

Since the lengths in feet of three pieces of timber are 144, 216, 240 and the operator wants to cut them into 3 equal sizea, this will go thus:

= (144 + 216 + 240) / 3

= 600/3

= 200 feets each

Therefore, there'll be an equal length of 200 feets each.

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wesleyliao wesleyliao · Answer 2 · 2021-11-04T00:39:48+01:00

Answer:24 feet

Step-by-step explanation:

1st of all it is unbelievable to whichever tutor believed that the answer is 200 because you cannot glue timber to each other

you start by finding the Greatest Common Factor of each number which the easiest way to do it is to list the prime faction of all of them

144=12*12=6*6*2*2=3*3*2*2*2*2=3^2*2^4

216=108*2=54*2*2=27*2*2*2=2*2*2*3*3*3=2^3*3^3

240=80*3=2*2*2*2*3*5=2^4*3*5

then you check what they all have in common: three two's and one 3 then you multiply them all together 2^3*3=24 and that's the answer