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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 292 · 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 15 and 10.
  2. 2.Find the LCM of 6, 3 and 14.
  3. 3.Find the HCF of 45 and 36.
  4. 4.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  5. 5.Find the HCF of 10 and 25.
  6. 6.Find the LCM of 14 and 10.
  7. 7.Find the LCM of 8 and 7.
  8. 8.Find the LCM of 24 and 18.
  9. 9.Find the HCF of 6 and 15.
  10. 10.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  11. 11.Find the LCM of 9, 3 and 5.
  12. 12.Find the LCM of 30 and 12.
  13. 13.Find the LCM of 4, 9 and 5.
  14. 14.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  15. 15.Find the HCF of 30 and 105.
  16. 16.Find the LCM of 5, 2 and 15.
  17. 17.Find the HCF of 50 and 60.
  18. 18.Find the LCM of 15 and 9.
  19. 19.Find the LCM of 16 and 10.
  20. 20.Find the HCF of 96 and 84.
  21. 21.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  22. 22.Find the LCM of 18 and 12.
  23. 23.Find the HCF of 24 and 36.
  24. 24.Find the HCF of 36 and 81.
  25. 25.Find the HCF of 120 and 105.
  26. 26.Find the LCM of 8, 7 and 14.
  27. 27.Find the LCM of 9, 2 and 4.
  28. 28.Find the LCM of 4 and 10.
  29. 29.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  30. 30.Find the HCF of 63 and 56.
  31. 31.Find the LCM of 20 and 24.
  32. 32.Find the HCF of 90 and 50.
  33. 33.Find the LCM of 7, 3 and 6.
  34. 34.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  36. 36.Find the HCF of 30 and 36.
  37. 37.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  38. 38.Find the HCF of 21 and 15.
  39. 39.Find the HCF of 26 and 39.
  40. 40.Find the LCM of 20 and 28.

Answer key

  1. 5
  2. 42
  3. 9
  4. 24
  5. 5
  6. 70
  7. 56
  8. 72
  9. 3
  10. 25
  11. 45
  12. 60
  13. 180
  14. 12
  15. 15
  16. 30
  17. 10
  18. 45
  19. 80
  20. 12
  21. 10
  22. 36
  23. 12
  24. 9
  25. 15
  26. 56
  27. 36
  28. 20
  29. 18
  30. 7
  31. 120
  32. 10
  33. 42
  34. 30
  35. 15
  36. 6
  37. 6
  38. 3
  39. 13
  40. 140

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