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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 150 · 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 9 and 6.
  2. 2.Find the HCF of 40 and 48.
  3. 3.Find the LCM of 54 and 48.
  4. 4.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  5. 5.Find the LCM of 6 and 27.
  6. 6.Find the LCM of 2, 10 and 14.
  7. 7.Find the LCM of 35 and 45.
  8. 8.Find the HCF of 30 and 80.
  9. 9.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  10. 10.Find the HCF of 16 and 14.
  11. 11.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  12. 12.Find the HCF of 105 and 75.
  13. 13.Find the LCM of 9, 7 and 14.
  14. 14.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  15. 15.Find the HCF of 70 and 90.
  16. 16.Find the LCM of 9 and 8.
  17. 17.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  18. 18.Find the LCM of 16 and 6.
  19. 19.Find the LCM of 6, 15 and 8.
  20. 20.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  21. 21.Find the LCM of 3 and 2.
  22. 22.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  23. 23.Find the LCM of 32 and 12.
  24. 24.Find the LCM of 15, 5 and 7.
  25. 25.Find the HCF of 36 and 42.
  26. 26.Find the HCF of 16 and 72.
  27. 27.Find the HCF of 10 and 14.
  28. 28.Find the HCF of 10 and 16.
  29. 29.Find the LCM of 12 and 16.
  30. 30.Find the LCM of 42 and 18.
  31. 31.Find the LCM of 11, 2 and 4.
  32. 32.Find the HCF of 63 and 27.
  33. 33.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  34. 34.Find the LCM of 42 and 12.
  35. 35.Find the HCF of 135 and 120.
  36. 36.Find the HCF of 108 and 96.
  37. 37.Find the HCF of 18 and 48.
  38. 38.Find the HCF of 48 and 42.
  39. 39.Find the HCF of 28 and 98.
  40. 40.Find the LCM of 3, 6 and 14.

Answer key

  1. 3
  2. 8
  3. 432
  4. 16
  5. 54
  6. 70
  7. 315
  8. 10
  9. 15
  10. 2
  11. 40
  12. 15
  13. 126
  14. 45
  15. 10
  16. 72
  17. 32
  18. 48
  19. 120
  20. 42
  21. 6
  22. 28
  23. 96
  24. 105
  25. 6
  26. 8
  27. 2
  28. 2
  29. 48
  30. 126
  31. 44
  32. 9
  33. 21
  34. 84
  35. 15
  36. 12
  37. 6
  38. 6
  39. 14
  40. 42

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