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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 981 · 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.Find the HCF of 20 and 45.
  2. 2.Find the LCM of 3, 9 and 12.
  3. 3.Find the HCF of 135 and 30.
  4. 4.Find the LCM of 3, 9 and 7.
  5. 5.Find the HCF of 55 and 66.
  6. 6.Find the LCM of 4 and 5.
  7. 7.Find the HCF of 25 and 15.
  8. 8.Find the LCM of 2 and 7.
  9. 9.Find the LCM of 2, 14 and 5.
  10. 10.Find the HCF of 16 and 56.
  11. 11.Find the LCM of 42 and 54.
  12. 12.Find the LCM of 25 and 10.
  13. 13.Find the LCM of 9, 5 and 4.
  14. 14.Find the HCF of 60 and 70.
  15. 15.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  16. 16.Find the LCM of 2, 12 and 14.
  17. 17.Find the HCF of 9 and 21.
  18. 18.Find the LCM of 9 and 8.
  19. 19.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  20. 20.Find the LCM of 8, 5 and 6.
  21. 21.Find the LCM of 6 and 8.
  22. 22.Find the LCM of 10 and 6.
  23. 23.Find the LCM of 30 and 12.
  24. 24.Find the LCM of 10, 14 and 15.
  25. 25.Find the HCF of 21 and 14.
  26. 26.Find the HCF of 70 and 98.
  27. 27.Find the LCM of 8 and 28.
  28. 28.Find the LCM of 6, 15 and 3.
  29. 29.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  30. 30.Find the LCM of 4 and 7.
  31. 31.Find the HCF of 35 and 49.
  32. 32.Find the LCM of 2, 6 and 9.
  33. 33.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  34. 34.Find the LCM of 2, 3 and 12.
  35. 35.Find the LCM of 7 and 3.
  36. 36.Find the HCF of 12 and 15.
  37. 37.Find the LCM of 4, 3 and 5.
  38. 38.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  39. 39.Find the HCF of 50 and 40.
  40. 40.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?

Answer key

  1. 5
  2. 36
  3. 15
  4. 63
  5. 11
  6. 20
  7. 5
  8. 14
  9. 70
  10. 8
  11. 378
  12. 50
  13. 180
  14. 10
  15. 20
  16. 84
  17. 3
  18. 72
  19. 8
  20. 120
  21. 24
  22. 30
  23. 60
  24. 210
  25. 7
  26. 14
  27. 56
  28. 30
  29. 20
  30. 28
  31. 7
  32. 18
  33. 49
  34. 12
  35. 21
  36. 3
  37. 60
  38. 15
  39. 10
  40. 16

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