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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 746 · 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 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  2. 2.Find the HCF of 9 and 15.
  3. 3.Find the HCF of 84 and 36.
  4. 4.Find the LCM of 4, 6 and 10.
  5. 5.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  6. 6.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  7. 7.Find the LCM of 12 and 18.
  8. 8.Find the LCM of 3, 6 and 4.
  9. 9.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  10. 10.Find the LCM of 18 and 16.
  11. 11.Find the LCM of 15 and 40.
  12. 12.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  13. 13.Find the LCM of 18 and 24.
  14. 14.Find the LCM of 15, 10 and 4.
  15. 15.Find the HCF of 44 and 99.
  16. 16.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  17. 17.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  18. 18.Find the HCF of 30 and 135.
  19. 19.Find the HCF of 24 and 84.
  20. 20.Find the HCF of 22 and 77.
  21. 21.Find the HCF of 56 and 42.
  22. 22.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  23. 23.Find the HCF of 18 and 45.
  24. 24.Find the LCM of 8 and 10.
  25. 25.Find the LCM of 32 and 28.
  26. 26.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  27. 27.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  28. 28.Find the HCF of 12 and 9.
  29. 29.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  30. 30.Find the LCM of 11, 3 and 2.
  31. 31.Find the HCF of 18 and 27.
  32. 32.Find the HCF of 80 and 90.
  33. 33.Find the HCF of 70 and 20.
  34. 34.Find the HCF of 6 and 14.
  35. 35.Find the LCM of 8, 6 and 15.
  36. 36.Find the LCM of 27 and 24.
  37. 37.Find the HCF of 135 and 120.
  38. 38.Find the LCM of 5 and 2.
  39. 39.Find the LCM of 45 and 10.
  40. 40.Find the LCM of 2, 5 and 12.

Answer key

  1. 18
  2. 3
  3. 12
  4. 60
  5. 6
  6. 24
  7. 36
  8. 12
  9. 28
  10. 144
  11. 120
  12. 14
  13. 72
  14. 60
  15. 11
  16. 21
  17. 30
  18. 15
  19. 12
  20. 11
  21. 14
  22. 48
  23. 9
  24. 40
  25. 224
  26. 14
  27. 14
  28. 3
  29. 16
  30. 66
  31. 9
  32. 10
  33. 10
  34. 2
  35. 120
  36. 216
  37. 15
  38. 10
  39. 90
  40. 60

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