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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 43 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  2. 2.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  3. 3.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  4. 4.Find the LCM of 8, 9 and 3.
  5. 5.Find the LCM of 15, 5 and 10.
  6. 6.Find the LCM of 2, 14 and 9.
  7. 7.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  8. 8.Find the LCM of 12 and 21.
  9. 9.Find the LCM of 8 and 10.
  10. 10.Find the HCF of 49 and 14.
  11. 11.Find the LCM of 13, 2 and 7.
  12. 12.Find the LCM of 6, 5 and 8.
  13. 13.Find the LCM of 20 and 15.
  14. 14.Find the LCM of 48 and 18.
  15. 15.Find the HCF of 16 and 56.
  16. 16.Find the LCM of 3, 13 and 9.
  17. 17.Find the LCM of 42 and 24.
  18. 18.Find the HCF of 24 and 60.
  19. 19.Find the HCF of 27 and 15.
  20. 20.Find the LCM of 18 and 4.
  21. 21.Find the LCM of 9 and 7.
  22. 22.Find the LCM of 36 and 16.
  23. 23.Find the LCM of 4, 10 and 3.
  24. 24.Find the HCF of 77 and 33.
  25. 25.Find the LCM of 25 and 20.
  26. 26.Find the LCM of 6, 14 and 4.
  27. 27.Find the LCM of 12 and 10.
  28. 28.Find the LCM of 2, 11 and 10.
  29. 29.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  30. 30.Find the LCM of 8 and 28.
  31. 31.Find the HCF of 14 and 6.
  32. 32.Find the LCM of 8 and 14.
  33. 33.Find the HCF of 25 and 35.
  34. 34.Find the HCF of 105 and 30.
  35. 35.Find the HCF of 50 and 60.
  36. 36.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  37. 37.Find the HCF of 12 and 9.
  38. 38.Find the HCF of 70 and 112.
  39. 39.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  40. 40.Find the HCF of 20 and 16.

Answer key

  1. 6
  2. 25
  3. 48
  4. 72
  5. 30
  6. 126
  7. 40
  8. 84
  9. 40
  10. 7
  11. 182
  12. 120
  13. 60
  14. 144
  15. 8
  16. 117
  17. 168
  18. 12
  19. 3
  20. 36
  21. 63
  22. 144
  23. 60
  24. 11
  25. 100
  26. 84
  27. 60
  28. 110
  29. 4
  30. 56
  31. 2
  32. 56
  33. 5
  34. 15
  35. 10
  36. 18
  37. 3
  38. 14
  39. 40
  40. 4

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