Three pieces of timber 54m,36m and 24m long,have to be divided into planks of the same length. What is the greatest possible length of each plank
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Step-by-step explanation:
The lengths of the 3 pieces of timber are 54m,36m, & 24m
All of this timber needs to be divided into equal lengths of planks.
Largest possible length of each plank = HCF(54,36,24)
where HCF is the highest common factor, found by multiplying all the factors which appear in all 3 sizes
prime factorisation:
54 = 2×3×3×3
36 = 2×2×3×3
24 = 3×2×2×2
Hence HCF = 2×3 = 6m
largest possible length of plank is 6m
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