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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 750 · 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 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  2. 2.Find the LCM of 14, 10 and 2.
  3. 3.Find the HCF of 105 and 60.
  4. 4.Find the LCM of 4, 2 and 6.
  5. 5.Find the LCM of 6 and 27.
  6. 6.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  7. 7.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 6, 2 and 10.
  9. 9.Find the LCM of 6, 5 and 9.
  10. 10.Find the LCM of 10 and 45.
  11. 11.Find the LCM of 5, 10 and 11.
  12. 12.Find the LCM of 40 and 35.
  13. 13.Find the HCF of 24 and 40.
  14. 14.Find the HCF of 45 and 105.
  15. 15.Find the HCF of 40 and 32.
  16. 16.Find the HCF of 70 and 90.
  17. 17.Find the HCF of 8 and 10.
  18. 18.Find the LCM of 4 and 3.
  19. 19.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  20. 20.Find the HCF of 16 and 6.
  21. 21.Find the LCM of 9, 5 and 15.
  22. 22.Find the LCM of 8, 12 and 4.
  23. 23.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  25. 25.Find the LCM of 2, 4 and 5.
  26. 26.Find the HCF of 135 and 105.
  27. 27.Find the HCF of 56 and 98.
  28. 28.Find the LCM of 42 and 48.
  29. 29.Find the LCM of 14 and 4.
  30. 30.Find the HCF of 24 and 9.
  31. 31.Find the LCM of 12, 6 and 2.
  32. 32.Find the HCF of 6 and 4.
  33. 33.Find the HCF of 44 and 77.
  34. 34.Find the HCF of 10 and 6.
  35. 35.Find the LCM of 9 and 5.
  36. 36.Find the LCM of 9 and 6.
  37. 37.Find the LCM of 6, 7 and 2.
  38. 38.Find the HCF of 45 and 75.
  39. 39.Find the LCM of 4, 3 and 15.
  40. 40.Find the HCF of 8 and 12.

Answer key

  1. 49
  2. 70
  3. 15
  4. 12
  5. 54
  6. 12
  7. 16
  8. 30
  9. 90
  10. 90
  11. 110
  12. 280
  13. 8
  14. 15
  15. 8
  16. 10
  17. 2
  18. 12
  19. 24
  20. 2
  21. 45
  22. 24
  23. 40
  24. 24
  25. 20
  26. 15
  27. 14
  28. 336
  29. 28
  30. 3
  31. 12
  32. 2
  33. 11
  34. 2
  35. 45
  36. 18
  37. 42
  38. 15
  39. 60
  40. 4

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