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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 480 · 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 21 and 15.
  2. 2.Find the HCF of 18 and 12.
  3. 3.Find the HCF of 21 and 56.
  4. 4.Find the HCF of 14 and 6.
  5. 5.Find the HCF of 36 and 81.
  6. 6.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  7. 7.Find the HCF of 35 and 28.
  8. 8.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  9. 9.Find the HCF of 36 and 24.
  10. 10.Find the LCM of 6, 4 and 2.
  11. 11.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  12. 12.Find the LCM of 20 and 45.
  13. 13.Find the HCF of 18 and 21.
  14. 14.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  15. 15.Find the LCM of 9 and 2.
  16. 16.Find the LCM of 4, 6 and 2.
  17. 17.Find the HCF of 30 and 20.
  18. 18.Find the LCM of 8, 6 and 9.
  19. 19.Find the HCF of 39 and 91.
  20. 20.Find the LCM of 14, 12 and 4.
  21. 21.Find the LCM of 21 and 12.
  22. 22.Find the LCM of 8 and 10.
  23. 23.Find the LCM of 10, 8 and 6.
  24. 24.Find the LCM of 28 and 16.
  25. 25.Find the LCM of 5, 6 and 2.
  26. 26.Find the LCM of 7, 3 and 4.
  27. 27.Find the HCF of 126 and 70.
  28. 28.Find the LCM of 12, 11 and 4.
  29. 29.Find the HCF of 70 and 50.
  30. 30.Find the HCF of 12 and 21.
  31. 31.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  32. 32.Find the LCM of 6 and 14.
  33. 33.Find the LCM of 7 and 4.
  34. 34.Find the HCF of 40 and 70.
  35. 35.Find the LCM of 11, 3 and 6.
  36. 36.Find the HCF of 32 and 20.
  37. 37.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  38. 38.Find the HCF of 81 and 36.
  39. 39.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  40. 40.Find the LCM of 6 and 8.

Answer key

  1. 3
  2. 6
  3. 7
  4. 2
  5. 9
  6. 81
  7. 7
  8. 24
  9. 12
  10. 12
  11. 63
  12. 180
  13. 3
  14. 49
  15. 18
  16. 12
  17. 10
  18. 72
  19. 13
  20. 84
  21. 84
  22. 40
  23. 120
  24. 112
  25. 30
  26. 84
  27. 14
  28. 132
  29. 10
  30. 3
  31. 18
  32. 42
  33. 28
  34. 10
  35. 66
  36. 4
  37. 6
  38. 9
  39. 8
  40. 24

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