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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 196 · 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 91 and 65.
  2. 2.Find the HCF of 60 and 84.
  3. 3.Find the HCF of 105 and 75.
  4. 4.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  5. 5.Find the LCM of 4, 10 and 12.
  6. 6.Find the HCF of 48 and 56.
  7. 7.Find the HCF of 75 and 60.
  8. 8.Find the LCM of 8, 2 and 7.
  9. 9.Find the LCM of 10, 7 and 5.
  10. 10.Find the HCF of 16 and 40.
  11. 11.Find the LCM of 2, 14 and 3.
  12. 12.Find the LCM of 8 and 12.
  13. 13.Find the LCM of 8, 15 and 3.
  14. 14.Find the HCF of 42 and 30.
  15. 15.Find the HCF of 20 and 16.
  16. 16.Find the LCM of 4, 12 and 13.
  17. 17.Find the HCF of 28 and 126.
  18. 18.Find the HCF of 14 and 49.
  19. 19.Find the LCM of 3, 6 and 14.
  20. 20.Find the LCM of 20 and 16.
  21. 21.Find the HCF of 18 and 48.
  22. 22.Find the HCF of 18 and 4.
  23. 23.Find the LCM of 45 and 25.
  24. 24.Find the LCM of 5, 3 and 11.
  25. 25.Find the LCM of 20 and 28.
  26. 26.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  27. 27.Find the HCF of 27 and 45.
  28. 28.Find the HCF of 81 and 18.
  29. 29.Find the HCF of 60 and 50.
  30. 30.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  31. 31.Find the HCF of 16 and 12.
  32. 32.Find the LCM of 11, 2 and 3.
  33. 33.Find the LCM of 3, 13 and 6.
  34. 34.Find the HCF of 42 and 98.
  35. 35.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  36. 36.Find the HCF of 30 and 18.
  37. 37.Find the LCM of 7, 14 and 2.
  38. 38.Find the HCF of 10 and 18.
  39. 39.Find the LCM of 8 and 6.
  40. 40.Find the LCM of 9 and 12.

Answer key

  1. 13
  2. 12
  3. 15
  4. 48
  5. 60
  6. 8
  7. 15
  8. 56
  9. 70
  10. 8
  11. 42
  12. 24
  13. 120
  14. 6
  15. 4
  16. 156
  17. 14
  18. 7
  19. 42
  20. 80
  21. 6
  22. 2
  23. 225
  24. 165
  25. 140
  26. 24
  27. 9
  28. 9
  29. 10
  30. 10
  31. 4
  32. 66
  33. 78
  34. 14
  35. 15
  36. 6
  37. 14
  38. 2
  39. 24
  40. 36

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