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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 18 · 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 6 and 14.
  2. 2.Find the LCM of 8, 12 and 14.
  3. 3.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  4. 4.Find the HCF of 32 and 24.
  5. 5.Find the HCF of 99 and 55.
  6. 6.Find the LCM of 16 and 6.
  7. 7.Find the LCM of 8 and 3.
  8. 8.Find the LCM of 14, 2 and 3.
  9. 9.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  10. 10.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  11. 11.Find the LCM of 3, 9 and 14.
  12. 12.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  13. 13.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  14. 14.Find the HCF of 56 and 24.
  15. 15.Find the LCM of 10 and 18.
  16. 16.Find the HCF of 9 and 15.
  17. 17.Find the LCM of 18 and 12.
  18. 18.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  19. 19.Find the LCM of 5, 14 and 3.
  20. 20.Find the LCM of 8, 7 and 4.
  21. 21.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  23. 23.Find the HCF of 30 and 54.
  24. 24.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  25. 25.Find the LCM of 12, 15 and 6.
  26. 26.Find the LCM of 30 and 18.
  27. 27.Find the LCM of 3, 2 and 10.
  28. 28.Find the LCM of 12 and 20.
  29. 29.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  30. 30.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  31. 31.Find the LCM of 4, 11 and 6.
  32. 32.Find the LCM of 11, 2 and 10.
  33. 33.Find the HCF of 80 and 90.
  34. 34.Find the LCM of 9, 5 and 2.
  35. 35.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  36. 36.Find the LCM of 3, 15 and 14.
  37. 37.Find the HCF of 49 and 28.
  38. 38.Find the LCM of 5, 4 and 8.
  39. 39.Find the LCM of 12 and 27.
  40. 40.Find the LCM of 2, 7 and 5.

Answer key

  1. 2
  2. 168
  3. 36
  4. 8
  5. 11
  6. 48
  7. 24
  8. 42
  9. 64
  10. 40
  11. 126
  12. 12
  13. 27
  14. 8
  15. 90
  16. 3
  17. 36
  18. 35
  19. 210
  20. 56
  21. 24
  22. 10
  23. 6
  24. 81
  25. 60
  26. 90
  27. 30
  28. 60
  29. 16
  30. 56
  31. 132
  32. 110
  33. 10
  34. 90
  35. 15
  36. 210
  37. 7
  38. 40
  39. 108
  40. 70

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