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PLEASE ANSWER THIS QUICKLY BUT ALSO PLEASE GIVE ME THE RIGHT ANSWER. WHOEVER ANSWERS THE FASTEST GETS A BRAINLIEST!!!!!!!!

A carpenter has boards of lengths 24, 36, and 42 inches that must be cut into smaller boards of equal length, with no scrap wood left over.


What is the longest length of boards he can cut?


A. 2 inches

B.6 inches

Respuesta :

Answer:

B.6 inches

Step-by-step explanation:

Given: Three boards with measurement  24, 36, and 42 inches.

For the longest length of board we have to find out the H.C.F.

And for H.C.F. we will find out the factors,

[tex]24=2\times2\times2\times3\\36=2\times2\times3\times3\\42=2\times3\times7[/tex]

Here 2 and 3 is the common factor of given length of boards.

So the H.C.F. is 6.

Hence the longest length of board that carpenter can cut is 6 inches.

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