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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 371 · 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 24 and 20.
  2. 2.Find the LCM of 12 and 18.
  3. 3.Find the HCF of 126 and 56.
  4. 4.Find the LCM of 21 and 18.
  5. 5.Find the LCM of 12, 4 and 10.
  6. 6.Find the HCF of 99 and 77.
  7. 7.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  8. 8.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  9. 9.Find the LCM of 8 and 28.
  10. 10.Find the LCM of 10 and 18.
  11. 11.Find the HCF of 105 and 120.
  12. 12.Find the LCM of 10, 9 and 15.
  13. 13.Find the LCM of 10 and 15.
  14. 14.Find the HCF of 22 and 33.
  15. 15.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  17. 17.Find the LCM of 42 and 24.
  18. 18.Find the HCF of 91 and 104.
  19. 19.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  20. 20.Find the LCM of 10 and 45.
  21. 21.Find the LCM of 10, 15 and 6.
  22. 22.Find the HCF of 36 and 42.
  23. 23.Find the HCF of 28 and 70.
  24. 24.Find the HCF of 12 and 27.
  25. 25.Find the LCM of 4, 14 and 3.
  26. 26.Find the HCF of 81 and 63.
  27. 27.Find the LCM of 9, 11 and 2.
  28. 28.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  29. 29.Find the HCF of 60 and 48.
  30. 30.Find the HCF of 81 and 72.
  31. 31.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  32. 32.Find the HCF of 36 and 16.
  33. 33.Find the LCM of 30 and 36.
  34. 34.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  35. 35.Find the HCF of 24 and 42.
  36. 36.Find the HCF of 28 and 49.
  37. 37.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  38. 38.Find the LCM of 6, 14 and 12.
  39. 39.Find the LCM of 4, 14 and 12.
  40. 40.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?

Answer key

  1. 4
  2. 36
  3. 14
  4. 126
  5. 60
  6. 11
  7. 12
  8. 20
  9. 56
  10. 90
  11. 15
  12. 90
  13. 30
  14. 11
  15. 14
  16. 6
  17. 168
  18. 13
  19. 36
  20. 90
  21. 30
  22. 6
  23. 14
  24. 3
  25. 84
  26. 9
  27. 198
  28. 35
  29. 12
  30. 9
  31. 12
  32. 4
  33. 180
  34. 10
  35. 6
  36. 7
  37. 49
  38. 84
  39. 84
  40. 36

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