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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 291 · 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 18 and 81.
  2. 2.Find the LCM of 54 and 48.
  3. 3.Find the HCF of 4 and 18.
  4. 4.Find the HCF of 36 and 30.
  5. 5.Find the LCM of 7, 10 and 3.
  6. 6.Find the LCM of 18 and 21.
  7. 7.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  8. 8.Find the HCF of 90 and 50.
  9. 9.Find the HCF of 54 and 63.
  10. 10.Find the LCM of 9, 13 and 3.
  11. 11.Find the LCM of 11, 4 and 6.
  12. 12.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  13. 13.Find the LCM of 7, 2 and 15.
  14. 14.Find the LCM of 9 and 15.
  15. 15.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  16. 16.Find the HCF of 90 and 20.
  17. 17.Find the HCF of 21 and 28.
  18. 18.Find the LCM of 2, 3 and 14.
  19. 19.Find the HCF of 15 and 40.
  20. 20.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  21. 21.Find the HCF of 8 and 18.
  22. 22.Find the LCM of 6 and 27.
  23. 23.Find the LCM of 45 and 25.
  24. 24.Find the HCF of 14 and 21.
  25. 25.Find the HCF of 20 and 30.
  26. 26.Find the HCF of 20 and 28.
  27. 27.Find the LCM of 3 and 8.
  28. 28.Find the HCF of 48 and 56.
  29. 29.Find the HCF of 81 and 18.
  30. 30.Find the LCM of 12, 2 and 3.
  31. 31.Find the HCF of 10 and 8.
  32. 32.Find the LCM of 2, 4 and 15.
  33. 33.Find the HCF of 56 and 40.
  34. 34.Find the LCM of 14 and 8.
  35. 35.Find the LCM of 11, 5 and 4.
  36. 36.Find the HCF of 49 and 14.
  37. 37.Find the LCM of 3, 12 and 9.
  38. 38.Find the LCM of 12 and 30.
  39. 39.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  40. 40.Find the LCM of 20 and 32.

Answer key

  1. 9
  2. 432
  3. 2
  4. 6
  5. 210
  6. 126
  7. 8
  8. 10
  9. 9
  10. 117
  11. 132
  12. 63
  13. 210
  14. 45
  15. 21
  16. 10
  17. 7
  18. 42
  19. 5
  20. 35
  21. 2
  22. 54
  23. 225
  24. 7
  25. 10
  26. 4
  27. 24
  28. 8
  29. 9
  30. 12
  31. 2
  32. 60
  33. 8
  34. 56
  35. 220
  36. 7
  37. 36
  38. 60
  39. 6
  40. 160

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