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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 299 · 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 77 and 22.
  2. 2.Find the LCM of 3 and 8.
  3. 3.Find the LCM of 30 and 54.
  4. 4.Find the LCM of 48 and 42.
  5. 5.Find the LCM of 4, 14 and 3.
  6. 6.Find the LCM of 2 and 3.
  7. 7.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  8. 8.Find the HCF of 30 and 18.
  9. 9.Find the LCM of 6 and 9.
  10. 10.Find the HCF of 78 and 65.
  11. 11.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  12. 12.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  13. 13.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  14. 14.Find the LCM of 6, 2 and 12.
  15. 15.Find the LCM of 8, 3 and 2.
  16. 16.Find the LCM of 54 and 48.
  17. 17.Find the HCF of 27 and 12.
  18. 18.Find the HCF of 30 and 40.
  19. 19.Find the LCM of 12, 14 and 2.
  20. 20.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  21. 21.Find the LCM of 15, 10 and 3.
  22. 22.Find the HCF of 45 and 120.
  23. 23.Find the LCM of 54 and 24.
  24. 24.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  25. 25.Find the HCF of 25 and 20.
  26. 26.Find the LCM of 18 and 24.
  27. 27.Find the LCM of 4, 8 and 12.
  28. 28.Find the LCM of 3, 5 and 7.
  29. 29.Find the LCM of 2, 7 and 8.
  30. 30.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  31. 31.Find the LCM of 3, 15 and 13.
  32. 32.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  33. 33.Find the LCM of 14, 4 and 6.
  34. 34.Find the HCF of 96 and 36.
  35. 35.Find the LCM of 18 and 8.
  36. 36.Find the HCF of 104 and 117.
  37. 37.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  38. 38.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  39. 39.Find the HCF of 60 and 135.
  40. 40.Find the LCM of 27 and 15.

Answer key

  1. 11
  2. 24
  3. 270
  4. 336
  5. 84
  6. 6
  7. 36
  8. 6
  9. 18
  10. 13
  11. 6
  12. 42
  13. 20
  14. 12
  15. 24
  16. 432
  17. 3
  18. 10
  19. 84
  20. 27
  21. 30
  22. 15
  23. 216
  24. 45
  25. 5
  26. 72
  27. 24
  28. 105
  29. 56
  30. 16
  31. 195
  32. 36
  33. 84
  34. 12
  35. 72
  36. 13
  37. 20
  38. 28
  39. 15
  40. 135

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