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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 14 · 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 28 and 42.
  2. 2.Find the LCM of 35 and 40.
  3. 3.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  4. 4.Find the LCM of 27 and 12.
  5. 5.Find the LCM of 15, 9 and 12.
  6. 6.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  7. 7.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  8. 8.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  9. 9.Find the LCM of 12, 10 and 8.
  10. 10.Find the LCM of 9, 12 and 2.
  11. 11.Find the HCF of 65 and 26.
  12. 12.Find the LCM of 5, 4 and 2.
  13. 13.Find the LCM of 35 and 45.
  14. 14.Find the LCM of 2, 6 and 8.
  15. 15.Find the LCM of 3, 8 and 5.
  16. 16.Find the LCM of 7, 2 and 10.
  17. 17.Find the LCM of 15 and 12.
  18. 18.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  19. 19.Find the HCF of 75 and 135.
  20. 20.Find the HCF of 98 and 126.
  21. 21.Find the HCF of 20 and 30.
  22. 22.Find the HCF of 18 and 24.
  23. 23.Find the LCM of 13, 3 and 5.
  24. 24.Find the LCM of 12 and 15.
  25. 25.Find the LCM of 28 and 12.
  26. 26.Find the LCM of 7, 2 and 5.
  27. 27.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  28. 28.Find the LCM of 7, 4 and 6.
  29. 29.Find the HCF of 44 and 33.
  30. 30.Find the HCF of 30 and 18.
  31. 31.Find the LCM of 7, 11 and 14.
  32. 32.Find the HCF of 42 and 49.
  33. 33.Find the LCM of 7, 4 and 8.
  34. 34.Find the LCM of 14 and 6.
  35. 35.Find the LCM of 2 and 9.
  36. 36.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  37. 37.Find the HCF of 35 and 45.
  38. 38.Find the LCM of 10, 6 and 7.
  39. 39.Find the LCM of 21 and 18.
  40. 40.Find the LCM of 32 and 28.

Answer key

  1. 14
  2. 280
  3. 15
  4. 108
  5. 180
  6. 20
  7. 48
  8. 56
  9. 120
  10. 36
  11. 13
  12. 20
  13. 315
  14. 24
  15. 120
  16. 70
  17. 60
  18. 21
  19. 15
  20. 14
  21. 10
  22. 6
  23. 195
  24. 60
  25. 84
  26. 70
  27. 40
  28. 84
  29. 11
  30. 6
  31. 154
  32. 7
  33. 56
  34. 42
  35. 18
  36. 6
  37. 5
  38. 210
  39. 126
  40. 224

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