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A carpenter has three planks measuring 3 m 36 cm, 5 m 4 cm and 7 m 56 cm. He wants the longest possible measuring rod that measures each plank an exact number of times.
What is the length of that rod (in cm)?

Class 10HCF and LCMNumber Systems
  • A42
  • B12
  • C168
  • D84

Step-by-Step Solution

Work in centimetres: 336, 504 and 756. The longest rod is HCF(336, 504, 756). 7 and 7, so HCF = cm. Answers 42 and 12 are common factors but not the greatest; 168 does not divide 756.
Answer: D) 84

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