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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 582 · 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 56 and 72.
  2. 2.Find the LCM of 4 and 10.
  3. 3.Find the LCM of 5, 8 and 4.
  4. 4.Find the HCF of 28 and 126.
  5. 5.Find the HCF of 30 and 54.
  6. 6.Find the HCF of 56 and 42.
  7. 7.Find the HCF of 8 and 12.
  8. 8.Find the HCF of 108 and 96.
  9. 9.Find the LCM of 13, 2 and 8.
  10. 10.Find the LCM of 27 and 6.
  11. 11.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  12. 12.Find the HCF of 30 and 80.
  13. 13.Find the HCF of 20 and 90.
  14. 14.Find the HCF of 32 and 40.
  15. 15.Find the HCF of 27 and 36.
  16. 16.Find the HCF of 75 and 45.
  17. 17.Find the HCF of 81 and 18.
  18. 18.Find the LCM of 12, 9 and 4.
  19. 19.Find the HCF of 9 and 6.
  20. 20.Find the LCM of 4 and 6.
  21. 21.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  23. 23.Find the HCF of 77 and 33.
  24. 24.Find the LCM of 24 and 9.
  25. 25.Find the LCM of 42 and 30.
  26. 26.Find the LCM of 3, 11 and 2.
  27. 27.Find the LCM of 5 and 8.
  28. 28.Find the LCM of 20 and 12.
  29. 29.Find the LCM of 6, 10 and 7.
  30. 30.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  31. 31.Find the HCF of 36 and 30.
  32. 32.Find the HCF of 36 and 28.
  33. 33.Find the HCF of 10 and 8.
  34. 34.Find the LCM of 3, 12 and 2.
  35. 35.Find the LCM of 35 and 15.
  36. 36.Find the LCM of 4, 5 and 2.
  37. 37.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  38. 38.Find the LCM of 8 and 7.
  39. 39.Find the LCM of 30 and 42.
  40. 40.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?

Answer key

  1. 8
  2. 20
  3. 40
  4. 14
  5. 6
  6. 14
  7. 4
  8. 12
  9. 104
  10. 54
  11. 12
  12. 10
  13. 10
  14. 8
  15. 9
  16. 15
  17. 9
  18. 36
  19. 3
  20. 12
  21. 32
  22. 16
  23. 11
  24. 72
  25. 210
  26. 66
  27. 40
  28. 60
  29. 210
  30. 14
  31. 6
  32. 4
  33. 2
  34. 12
  35. 105
  36. 20
  37. 36
  38. 56
  39. 210
  40. 4

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