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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 717 · 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 LCM of 5 and 8.
  2. 2.Find the HCF of 16 and 24.
  3. 3.Find the HCF of 36 and 20.
  4. 4.Find the HCF of 16 and 12.
  5. 5.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 6, 7 and 9.
  7. 7.Find the HCF of 72 and 45.
  8. 8.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  9. 9.Find the LCM of 3 and 2.
  10. 10.Find the LCM of 10 and 16.
  11. 11.Find the LCM of 15 and 6.
  12. 12.Find the HCF of 28 and 98.
  13. 13.Find the LCM of 20 and 45.
  14. 14.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  15. 15.Find the LCM of 12, 6 and 4.
  16. 16.Find the LCM of 24 and 9.
  17. 17.Find the HCF of 14 and 16.
  18. 18.Find the HCF of 96 and 36.
  19. 19.Find the HCF of 24 and 30.
  20. 20.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  21. 21.Find the HCF of 24 and 64.
  22. 22.Find the HCF of 50 and 70.
  23. 23.Find the LCM of 35 and 15.
  24. 24.Find the HCF of 28 and 49.
  25. 25.Find the HCF of 16 and 36.
  26. 26.Find the HCF of 65 and 104.
  27. 27.Find the HCF of 30 and 42.
  28. 28.Find the HCF of 63 and 49.
  29. 29.Find the HCF of 99 and 77.
  30. 30.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  31. 31.Find the HCF of 54 and 24.
  32. 32.Find the HCF of 28 and 32.
  33. 33.Find the HCF of 20 and 15.
  34. 34.Find the LCM of 54 and 24.
  35. 35.Find the HCF of 12 and 9.
  36. 36.Find the LCM of 16 and 20.
  37. 37.Find the LCM of 6 and 10.
  38. 38.Find the HCF of 55 and 88.
  39. 39.Find the LCM of 6 and 8.
  40. 40.Find the LCM of 6, 9 and 10.

Answer key

  1. 40
  2. 8
  3. 4
  4. 4
  5. 40
  6. 126
  7. 9
  8. 35
  9. 6
  10. 80
  11. 30
  12. 14
  13. 180
  14. 28
  15. 12
  16. 72
  17. 2
  18. 12
  19. 6
  20. 8
  21. 8
  22. 10
  23. 105
  24. 7
  25. 4
  26. 13
  27. 6
  28. 7
  29. 11
  30. 56
  31. 6
  32. 4
  33. 5
  34. 216
  35. 3
  36. 80
  37. 30
  38. 11
  39. 24
  40. 90

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