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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 970 · 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 32 and 72.
  2. 2.Find the LCM of 4 and 5.
  3. 3.Find the HCF of 117 and 26.
  4. 4.Find the HCF of 10 and 15.
  5. 5.Find the LCM of 15, 7 and 6.
  6. 6.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  7. 7.Find the LCM of 12 and 10.
  8. 8.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  9. 9.Find the HCF of 80 and 70.
  10. 10.Find the LCM of 24 and 18.
  11. 11.Find the HCF of 45 and 54.
  12. 12.Find the LCM of 12 and 16.
  13. 13.Find the HCF of 35 and 20.
  14. 14.Find the HCF of 48 and 18.
  15. 15.Find the HCF of 15 and 10.
  16. 16.Find the LCM of 21 and 12.
  17. 17.Find the LCM of 25 and 10.
  18. 18.Find the LCM of 42 and 30.
  19. 19.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  20. 20.Find the HCF of 63 and 81.
  21. 21.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  22. 22.Find the HCF of 32 and 12.
  23. 23.Find the LCM of 6, 15 and 4.
  24. 24.Find the HCF of 33 and 44.
  25. 25.Find the LCM of 6 and 9.
  26. 26.Find the LCM of 36 and 8.
  27. 27.Find the LCM of 12 and 14.
  28. 28.Find the LCM of 20 and 16.
  29. 29.Find the LCM of 20 and 8.
  30. 30.Find the HCF of 14 and 10.
  31. 31.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  32. 32.Find the LCM of 4, 5 and 2.
  33. 33.Find the HCF of 48 and 36.
  34. 34.Find the HCF of 30 and 42.
  35. 35.Find the HCF of 35 and 10.
  36. 36.Find the LCM of 8, 11 and 2.
  37. 37.Find the LCM of 2, 7 and 8.
  38. 38.Find the LCM of 2, 9 and 5.
  39. 39.Find the HCF of 14 and 18.
  40. 40.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?

Answer key

  1. 8
  2. 20
  3. 13
  4. 5
  5. 210
  6. 16
  7. 60
  8. 12
  9. 10
  10. 72
  11. 9
  12. 48
  13. 5
  14. 6
  15. 5
  16. 84
  17. 50
  18. 210
  19. 54
  20. 9
  21. 8
  22. 4
  23. 60
  24. 11
  25. 18
  26. 72
  27. 84
  28. 80
  29. 40
  30. 2
  31. 12
  32. 20
  33. 12
  34. 6
  35. 5
  36. 88
  37. 56
  38. 90
  39. 2
  40. 16

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