Answer:
The greatest length possible for each plank is 6m.
Step-by-step explanation:
The given length of three pieces of timber are 54m, 36m and 24m respectively.
To find out the length of greatest plank, we need to find the H.C.F of the three lengths.
Using Prime factorisation,
54 = 2×3×3×3
36 = 2×2×3×3
24 = 2×2×2×3
Highest Common Factor of 54, 36 and 24 is 6.
So, the greatest length possible for each piece is 6m.
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References :-
1. https://brainly.com/question/18401435