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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 632 · 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 LCM of 2, 4 and 5.
  2. 2.Find the HCF of 33 and 77.
  3. 3.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 9, 12 and 15.
  6. 6.Find the LCM of 4, 7 and 6.
  7. 7.Find the LCM of 7, 6 and 5.
  8. 8.Find the HCF of 14 and 35.
  9. 9.Find the LCM of 16 and 36.
  10. 10.Find the HCF of 45 and 20.
  11. 11.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  12. 12.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  13. 13.Find the LCM of 10 and 16.
  14. 14.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  15. 15.Find the LCM of 3, 12 and 7.
  16. 16.Find the HCF of 14 and 12.
  17. 17.Find the LCM of 15 and 12.
  18. 18.Find the LCM of 8 and 3.
  19. 19.Find the HCF of 54 and 63.
  20. 20.Find the HCF of 40 and 32.
  21. 21.Find the HCF of 84 and 24.
  22. 22.Find the LCM of 9, 11 and 3.
  23. 23.Find the LCM of 6, 5 and 9.
  24. 24.Find the LCM of 2, 10 and 4.
  25. 25.Find the HCF of 8 and 10.
  26. 26.Find the HCF of 40 and 90.
  27. 27.Find the LCM of 15, 5 and 10.
  28. 28.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  29. 29.Find the LCM of 12, 2 and 13.
  30. 30.Find the HCF of 32 and 40.
  31. 31.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  32. 32.Find the LCM of 12 and 28.
  33. 33.Find the LCM of 6 and 4.
  34. 34.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  35. 35.Find the HCF of 75 and 90.
  36. 36.Find the LCM of 10, 2 and 12.
  37. 37.Find the HCF of 96 and 60.
  38. 38.Find the HCF of 112 and 70.
  39. 39.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  40. 40.Find the HCF of 21 and 24.

Answer key

  1. 20
  2. 11
  3. 45
  4. 4
  5. 180
  6. 84
  7. 210
  8. 7
  9. 144
  10. 5
  11. 81
  12. 28
  13. 80
  14. 42
  15. 84
  16. 2
  17. 60
  18. 24
  19. 9
  20. 8
  21. 12
  22. 99
  23. 90
  24. 20
  25. 2
  26. 10
  27. 30
  28. 16
  29. 156
  30. 8
  31. 14
  32. 84
  33. 12
  34. 24
  35. 15
  36. 60
  37. 12
  38. 14
  39. 6
  40. 3

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