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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 55 · 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 36 and 16.
  2. 2.Find the HCF of 49 and 42.
  3. 3.Find the HCF of 18 and 45.
  4. 4.Find the LCM of 8 and 5.
  5. 5.Find the HCF of 20 and 8.
  6. 6.Find the HCF of 30 and 20.
  7. 7.Find the LCM of 4, 10 and 12.
  8. 8.Find the LCM of 15 and 6.
  9. 9.Find the LCM of 2, 11 and 10.
  10. 10.Find the HCF of 72 and 64.
  11. 11.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  12. 12.Find the HCF of 28 and 42.
  13. 13.Find the LCM of 5, 12 and 6.
  14. 14.Find the LCM of 20 and 16.
  15. 15.Find the LCM of 10, 6 and 14.
  16. 16.Find the LCM of 10 and 14.
  17. 17.Find the HCF of 65 and 117.
  18. 18.Find the LCM of 15, 9 and 6.
  19. 19.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  20. 20.Find the LCM of 28 and 8.
  21. 21.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  22. 22.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  23. 23.Find the LCM of 3, 6 and 12.
  24. 24.Find the LCM of 15, 12 and 4.
  25. 25.Find the LCM of 8, 15 and 6.
  26. 26.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  27. 27.Find the HCF of 24 and 64.
  28. 28.Find the HCF of 60 and 36.
  29. 29.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  30. 30.Find the LCM of 10, 2 and 4.
  31. 31.Find the LCM of 10, 5 and 12.
  32. 32.Find the HCF of 12 and 21.
  33. 33.Find the LCM of 6, 11 and 4.
  34. 34.Find the LCM of 6 and 27.
  35. 35.Find the HCF of 75 and 120.
  36. 36.Find the LCM of 14 and 18.
  37. 37.Find the LCM of 10 and 8.
  38. 38.Find the LCM of 7, 3 and 10.
  39. 39.Find the LCM of 11, 6 and 2.
  40. 40.Find the LCM of 13, 2 and 10.

Answer key

  1. 4
  2. 7
  3. 9
  4. 40
  5. 4
  6. 10
  7. 60
  8. 30
  9. 110
  10. 8
  11. 14
  12. 14
  13. 60
  14. 80
  15. 210
  16. 70
  17. 13
  18. 90
  19. 25
  20. 56
  21. 18
  22. 21
  23. 12
  24. 60
  25. 120
  26. 15
  27. 8
  28. 12
  29. 30
  30. 20
  31. 60
  32. 3
  33. 132
  34. 54
  35. 15
  36. 126
  37. 40
  38. 210
  39. 66
  40. 130

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