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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 42 · 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 567. One of the numbers is 81. What is the other number?
  2. 2.Find the HCF of 10 and 18.
  3. 3.Find the LCM of 9, 8 and 6.
  4. 4.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  5. 5.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  6. 6.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  7. 7.Find the HCF of 32 and 72.
  8. 8.Find the HCF of 35 and 20.
  9. 9.Find the HCF of 40 and 72.
  10. 10.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  11. 11.Find the HCF of 50 and 90.
  12. 12.Find the HCF of 18 and 4.
  13. 13.Find the LCM of 3, 12 and 15.
  14. 14.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  15. 15.Find the LCM of 4, 3 and 5.
  16. 16.Find the HCF of 21 and 35.
  17. 17.Find the HCF of 27 and 15.
  18. 18.Find the LCM of 6 and 9.
  19. 19.Find the HCF of 66 and 77.
  20. 20.Find the HCF of 40 and 45.
  21. 21.Find the HCF of 72 and 56.
  22. 22.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  23. 23.Find the LCM of 5, 2 and 9.
  24. 24.Find the LCM of 28 and 12.
  25. 25.Find the LCM of 30 and 18.
  26. 26.Find the HCF of 75 and 60.
  27. 27.Find the LCM of 12, 6 and 11.
  28. 28.Find the LCM of 12 and 18.
  29. 29.Find the HCF of 21 and 49.
  30. 30.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  31. 31.Find the HCF of 8 and 12.
  32. 32.Find the LCM of 9, 3 and 8.
  33. 33.Find the HCF of 6 and 21.
  34. 34.Find the LCM of 5, 6 and 9.
  35. 35.Find the HCF of 91 and 26.
  36. 36.Find the HCF of 104 and 117.
  37. 37.Find the LCM of 15, 8 and 3.
  38. 38.Find the HCF of 26 and 39.
  39. 39.Find the LCM of 15, 7 and 3.
  40. 40.Find the LCM of 9 and 15.

Answer key

  1. 63
  2. 2
  3. 72
  4. 28
  5. 64
  6. 12
  7. 8
  8. 5
  9. 8
  10. 35
  11. 10
  12. 2
  13. 60
  14. 12
  15. 60
  16. 7
  17. 3
  18. 18
  19. 11
  20. 5
  21. 8
  22. 14
  23. 90
  24. 84
  25. 90
  26. 15
  27. 132
  28. 36
  29. 7
  30. 36
  31. 4
  32. 72
  33. 3
  34. 90
  35. 13
  36. 13
  37. 120
  38. 13
  39. 105
  40. 45

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