Question

The lengths in feet of three pieces of timber are 48, 72, and 40. The sawmill operator needs to cut the timber into logs of equal length with no waste. How many feet long is the greatest possible length she can cut?

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Answer 1

Therefore she can cut 8 feet long log.

Step-by-step explanation:

Given,

The lengths in feet of three pieces of timber are 48,72 and 40. The sawmill operator needs to cut the timber into logs of equal length with no waste.

The HCF of 48 , 72 and 40 is =8

Therefore she can cut 8 feet long log.

Answer 2

Answer:

8 feet

Step-by-step explanation:

To cut all three pieces of timber into equal length logs, the length of the logs must be a factor of each of the three original lengths. The prime factors of 48 are 2^4*3, 72 are 2^3*3^2, and 40 are 2^3*5. The greatest common factor of all three is 2^3=8, so that is the greatest possible length the sawmill operator can cut.

Hope this helped! :)