HCF and LCM Questions Answers

• 8. Find the LCM of \begin{aligned} \frac{2}{3}, \frac{4}{6}, \frac{8}{27} \end{aligned}

  1. \begin{aligned} \frac{2}{27} \end{aligned}
  2. \begin{aligned} \frac{8}{3} \end{aligned}
  3. \begin{aligned} \frac{2}{3} \end{aligned}
  4. \begin{aligned} \frac{8}{27} \end{aligned}

  Answer And Explanation

  Answer: Option B

  Explanation:

  Whenever we have to solve this sort of question, remember the formula.
  LCM = \\begin{aligned} \\frac{HCF of Denominators}{LCM of Numerators} \\end{aligned}
  So answers will be option 2,
  Please also give attention to the difference in formula of HCF and LCM

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• 9. Find the HCF of 2.1, 1.05 and 0.63

  1. 0.44
  2. 0.64
  3. 0.21
  4. None of above

  Answer And Explanation

  Answer: Option C

  Explanation:

  To solve this question quickly, first remove decimal by multiplying each term with 100,
  Then terms become 210, 105, 63
  Then HCF of above terms is 21,
  So Answer is 0.21

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• 10. If LCM of two number is 693, HCF of two numbers is 11 and one number is 99, then find other

  1. 34
  2. 77
  3. 12
  4. 45

  Answer And Explanation

  Answer: Option B

  Explanation:

  For any this type of question, remember
  Product of two numbers = Product of their HCF and LCM
  
  So Other number = \begin{aligned} \frac{693 \times 11}{99} \end{aligned} = 77

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• 11. LCM of two numbers is 7700 and HCF is 11. If one number is 308 then other number is

  1. 269
  2. 285
  3. 300
  4. 275

  Answer And Explanation

  Answer: Option D

  Explanation:

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• 12. Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm

  1. 45cm
  2. 255cm
  3. 244cm
  4. 55cm

  Answer And Explanation

  Answer: Option A

  Explanation:

  Convert first all terms into cm.
  i.e. 1575 cm, 1125cm, 765cm.
  
  Now whenever we need to calculate this type of question, we need to find the HCF. HCF of above terms is 255.

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• 13. Find the greatest number which on dividing 1661 and 2045, leaves a reminder of 10 and 13 respectively

  1. 125
  2. 127
  3. 129
  4. 131

  Answer And Explanation

  Answer: Option B

  Explanation:

  In this type of question, its obvious we need to calculate the HCF, trick is
  HCF of (1661 - 10) and (2045 -13)
  = HCF (1651, 2032) = 127

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• 14. Find the largest number which divides 62,132,237 to leave the same reminder

  1. 30
  2. 32
  3. 35
  4. 45

  Answer And Explanation

  Answer: Option C

  Explanation:

  Trick is HCF of (237-132), (132-62), (237-62)
  = HCF of (70,105,175) = 35

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