Three piece of timber 143m, 78m and 117m long have to be divided into planks of the same length. What is the greatest possible length of each plank?

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Navik DB 26th April 2025 Memory Based Paper (Section I)
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  1. 7 m
  2. 11 m
  3. 13 m
  4. 17 m

Answer (Detailed Solution Below)

Option 3 : 13 m
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Detailed Solution

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Given:

Length of timber1 = 143 m

Length of timber2 = 78 m

Length of timber3 = 117 m

Calculation:

Greatest possible length of each plank = HCF of 143, 78 and 117

143 = 13 × 11

78 = 13 × 2 × 3

117 = 13 × 3 × 3 

HCF is 13

∴ Greatest possible length of each plank is 13 m.

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