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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 160 · 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 16 and 6.
  2. 2.Find the LCM of 20 and 8.
  3. 3.Find the HCF of 117 and 91.
  4. 4.Find the HCF of 30 and 80.
  5. 5.Find the HCF of 56 and 24.
  6. 6.Find the LCM of 3, 10 and 12.
  7. 7.Find the LCM of 9, 6 and 11.
  8. 8.Find the LCM of 15 and 35.
  9. 9.Find the HCF of 84 and 36.
  10. 10.Find the LCM of 28 and 8.
  11. 11.Find the HCF of 55 and 33.
  12. 12.Find the LCM of 6, 13 and 3.
  13. 13.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  14. 14.Find the LCM of 16 and 36.
  15. 15.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  16. 16.Find the LCM of 6, 8 and 4.
  17. 17.Find the LCM of 4, 3 and 8.
  18. 18.Find the HCF of 10 and 35.
  19. 19.Find the HCF of 70 and 30.
  20. 20.Find the LCM of 15 and 9.
  21. 21.Find the LCM of 10 and 25.
  22. 22.Find the LCM of 27 and 6.
  23. 23.Find the LCM of 10, 7 and 2.
  24. 24.Find the LCM of 12 and 28.
  25. 25.Find the LCM of 20 and 16.
  26. 26.Find the LCM of 9, 4 and 6.
  27. 27.Find the LCM of 5 and 7.
  28. 28.Find the LCM of 5, 10 and 8.
  29. 29.Find the HCF of 104 and 65.
  30. 30.Find the LCM of 20 and 15.
  31. 31.Find the LCM of 9 and 5.
  32. 32.Find the HCF of 88 and 99.
  33. 33.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  34. 34.Find the HCF of 36 and 96.
  35. 35.Find the LCM of 9, 4 and 5.
  36. 36.Find the HCF of 12 and 20.
  37. 37.Find the LCM of 18 and 10.
  38. 38.Find the HCF of 15 and 9.
  39. 39.Find the LCM of 15, 14 and 10.
  40. 40.Find the LCM of 45 and 10.

Answer key

  1. 2
  2. 40
  3. 13
  4. 10
  5. 8
  6. 60
  7. 198
  8. 105
  9. 12
  10. 56
  11. 11
  12. 78
  13. 6
  14. 144
  15. 49
  16. 24
  17. 24
  18. 5
  19. 10
  20. 45
  21. 50
  22. 54
  23. 70
  24. 84
  25. 80
  26. 36
  27. 35
  28. 40
  29. 13
  30. 60
  31. 45
  32. 11
  33. 20
  34. 12
  35. 180
  36. 4
  37. 90
  38. 3
  39. 210
  40. 90

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