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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 63 · 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 40 and 64.
  2. 2.Find the LCM of 12, 5 and 3.
  3. 3.Find the LCM of 15, 9 and 3.
  4. 4.Find the LCM of 30 and 25.
  5. 5.Find the HCF of 42 and 24.
  6. 6.Find the HCF of 10 and 4.
  7. 7.Find the LCM of 6 and 8.
  8. 8.Find the LCM of 15 and 24.
  9. 9.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 8, 9 and 4.
  11. 11.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  13. 13.Find the HCF of 24 and 40.
  14. 14.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  15. 15.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  17. 17.Find the LCM of 9 and 15.
  18. 18.Find the LCM of 3, 5 and 6.
  19. 19.Find the LCM of 45 and 25.
  20. 20.Find the HCF of 72 and 16.
  21. 21.Find the LCM of 25 and 40.
  22. 22.Find the LCM of 4, 2 and 12.
  23. 23.Find the HCF of 45 and 36.
  24. 24.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  25. 25.Find the HCF of 12 and 9.
  26. 26.Find the LCM of 10, 12 and 2.
  27. 27.Find the HCF of 6 and 21.
  28. 28.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  29. 29.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  30. 30.Find the LCM of 5 and 2.
  31. 31.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  32. 32.Find the LCM of 10, 12 and 4.
  33. 33.Find the LCM of 5, 14 and 4.
  34. 34.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  35. 35.Find the HCF of 8 and 36.
  36. 36.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  37. 37.Find the LCM of 21 and 18.
  38. 38.Find the LCM of 15, 12 and 3.
  39. 39.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  40. 40.Find the LCM of 3, 4 and 9.

Answer key

  1. 8
  2. 60
  3. 45
  4. 150
  5. 6
  6. 2
  7. 24
  8. 120
  9. 6
  10. 72
  11. 63
  12. 10
  13. 8
  14. 24
  15. 18
  16. 16
  17. 45
  18. 30
  19. 225
  20. 8
  21. 200
  22. 12
  23. 9
  24. 15
  25. 3
  26. 60
  27. 3
  28. 27
  29. 6
  30. 10
  31. 40
  32. 60
  33. 140
  34. 72
  35. 4
  36. 10
  37. 126
  38. 60
  39. 35
  40. 36

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