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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 742 · 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.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  2. 2.Find the HCF of 72 and 81.
  3. 3.Find the HCF of 42 and 35.
  4. 4.Find the LCM of 18 and 15.
  5. 5.Find the HCF of 12 and 54.
  6. 6.Find the HCF of 52 and 65.
  7. 7.Find the HCF of 12 and 28.
  8. 8.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  9. 9.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  10. 10.Find the LCM of 4 and 6.
  11. 11.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  12. 12.Find the LCM of 3, 9 and 13.
  13. 13.Find the HCF of 72 and 45.
  14. 14.Find the HCF of 30 and 135.
  15. 15.Find the LCM of 7 and 3.
  16. 16.Find the LCM of 7 and 2.
  17. 17.Find the LCM of 10 and 16.
  18. 18.Find the HCF of 42 and 36.
  19. 19.Find the LCM of 4 and 18.
  20. 20.Find the HCF of 20 and 8.
  21. 21.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  22. 22.Find the LCM of 12, 2 and 15.
  23. 23.Find the LCM of 7, 3 and 4.
  24. 24.Find the LCM of 18 and 48.
  25. 25.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  26. 26.Find the LCM of 6, 5 and 14.
  27. 27.Find the HCF of 81 and 63.
  28. 28.Find the LCM of 6, 10 and 3.
  29. 29.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  30. 30.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  31. 31.Find the LCM of 24 and 30.
  32. 32.Find the LCM of 15 and 21.
  33. 33.Find the LCM of 12 and 18.
  34. 34.Find the LCM of 4, 12 and 8.
  35. 35.Find the LCM of 3, 7 and 9.
  36. 36.Find the HCF of 63 and 35.
  37. 37.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  38. 38.Find the LCM of 5, 4 and 9.
  39. 39.Find the LCM of 5, 14 and 10.
  40. 40.Find the HCF of 70 and 84.

Answer key

  1. 16
  2. 9
  3. 7
  4. 90
  5. 6
  6. 13
  7. 4
  8. 18
  9. 72
  10. 12
  11. 64
  12. 117
  13. 9
  14. 15
  15. 21
  16. 14
  17. 80
  18. 6
  19. 36
  20. 4
  21. 45
  22. 60
  23. 84
  24. 144
  25. 21
  26. 210
  27. 9
  28. 30
  29. 20
  30. 64
  31. 120
  32. 105
  33. 36
  34. 24
  35. 63
  36. 7
  37. 12
  38. 180
  39. 70
  40. 14

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