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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 671 · 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 25 and 40.
  2. 2.Find the HCF of 45 and 60.
  3. 3.Find the HCF of 36 and 16.
  4. 4.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  6. 6.Find the HCF of 50 and 30.
  7. 7.Find the LCM of 2, 6 and 15.
  8. 8.Find the LCM of 14, 5 and 6.
  9. 9.Find the HCF of 90 and 20.
  10. 10.Find the LCM of 8, 15 and 12.
  11. 11.Find the HCF of 98 and 42.
  12. 12.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  13. 13.Find the HCF of 70 and 112.
  14. 14.Find the LCM of 9, 5 and 12.
  15. 15.Find the HCF of 15 and 35.
  16. 16.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  17. 17.Find the LCM of 2, 7 and 15.
  18. 18.Find the LCM of 2, 3 and 6.
  19. 19.Find the HCF of 24 and 36.
  20. 20.Find the HCF of 77 and 33.
  21. 21.Find the HCF of 135 and 60.
  22. 22.Find the LCM of 12 and 9.
  23. 23.Find the HCF of 32 and 36.
  24. 24.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  25. 25.Find the LCM of 6, 14 and 12.
  26. 26.Find the HCF of 8 and 10.
  27. 27.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  28. 28.Find the LCM of 5, 2 and 11.
  29. 29.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  30. 30.Find the HCF of 105 and 90.
  31. 31.Find the LCM of 21 and 18.
  32. 32.Find the HCF of 20 and 90.
  33. 33.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  34. 34.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  36. 36.Find the LCM of 9, 12 and 6.
  37. 37.Find the LCM of 7, 4 and 2.
  38. 38.Find the HCF of 32 and 56.
  39. 39.Find the LCM of 12 and 18.
  40. 40.Find the HCF of 22 and 33.

Answer key

  1. 5
  2. 15
  3. 4
  4. 18
  5. 27
  6. 10
  7. 30
  8. 210
  9. 10
  10. 120
  11. 14
  12. 24
  13. 14
  14. 180
  15. 5
  16. 15
  17. 210
  18. 6
  19. 12
  20. 11
  21. 15
  22. 36
  23. 4
  24. 24
  25. 84
  26. 2
  27. 9
  28. 110
  29. 27
  30. 15
  31. 126
  32. 10
  33. 28
  34. 20
  35. 9
  36. 36
  37. 28
  38. 8
  39. 36
  40. 11

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