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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 612 · 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 33 and 22.
  2. 2.Find the LCM of 12 and 16.
  3. 3.Find the LCM of 5 and 4.
  4. 4.Find the LCM of 4 and 18.
  5. 5.Find the HCF of 10 and 45.
  6. 6.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  7. 7.Find the LCM of 24 and 42.
  8. 8.Find the LCM of 14, 7 and 10.
  9. 9.Find the HCF of 16 and 12.
  10. 10.Find the LCM of 5, 4 and 9.
  11. 11.Find the HCF of 54 and 48.
  12. 12.Find the LCM of 6 and 5.
  13. 13.Find the LCM of 5, 6 and 15.
  14. 14.Find the LCM of 30 and 48.
  15. 15.Find the LCM of 36 and 20.
  16. 16.Find the HCF of 21 and 35.
  17. 17.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  18. 18.Find the HCF of 30 and 105.
  19. 19.Find the LCM of 30 and 24.
  20. 20.Find the LCM of 8, 11 and 2.
  21. 21.Find the LCM of 42 and 54.
  22. 22.Find the HCF of 18 and 27.
  23. 23.Find the HCF of 10 and 18.
  24. 24.Find the LCM of 25 and 20.
  25. 25.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  26. 26.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  27. 27.Find the HCF of 45 and 36.
  28. 28.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  29. 29.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  30. 30.Find the HCF of 56 and 35.
  31. 31.Find the LCM of 7, 8 and 3.
  32. 32.Find the LCM of 3, 11 and 2.
  33. 33.Find the HCF of 28 and 126.
  34. 34.Find the HCF of 20 and 50.
  35. 35.Find the LCM of 18 and 12.
  36. 36.Find the LCM of 45 and 10.
  37. 37.Find the HCF of 35 and 56.
  38. 38.Find the LCM of 6 and 27.
  39. 39.Find the HCF of 63 and 49.
  40. 40.Find the HCF of 70 and 56.

Answer key

  1. 11
  2. 48
  3. 20
  4. 36
  5. 5
  6. 14
  7. 168
  8. 70
  9. 4
  10. 180
  11. 6
  12. 30
  13. 30
  14. 240
  15. 180
  16. 7
  17. 4
  18. 15
  19. 120
  20. 88
  21. 378
  22. 9
  23. 2
  24. 100
  25. 81
  26. 24
  27. 9
  28. 72
  29. 27
  30. 7
  31. 168
  32. 66
  33. 14
  34. 10
  35. 36
  36. 90
  37. 7
  38. 54
  39. 7
  40. 14

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