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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 172 · 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 28 and 42.
  2. 2.Find the LCM of 8, 2 and 10.
  3. 3.Find the LCM of 3 and 5.
  4. 4.Find the LCM of 12 and 9.
  5. 5.Find the LCM of 15, 3 and 8.
  6. 6.Find the HCF of 42 and 112.
  7. 7.Find the HCF of 15 and 12.
  8. 8.Find the LCM of 18 and 42.
  9. 9.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  11. 11.Find the HCF of 36 and 42.
  12. 12.Find the HCF of 21 and 14.
  13. 13.Find the HCF of 65 and 117.
  14. 14.Find the LCM of 45 and 10.
  15. 15.Find the HCF of 30 and 70.
  16. 16.Find the HCF of 55 and 22.
  17. 17.Find the HCF of 30 and 40.
  18. 18.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  19. 19.Find the HCF of 60 and 24.
  20. 20.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  21. 21.Find the LCM of 15 and 12.
  22. 22.Find the LCM of 10, 4 and 14.
  23. 23.Find the HCF of 32 and 56.
  24. 24.Find the LCM of 30 and 25.
  25. 25.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  27. 27.Find the HCF of 24 and 20.
  28. 28.Find the HCF of 16 and 56.
  29. 29.Find the HCF of 63 and 49.
  30. 30.Find the HCF of 18 and 45.
  31. 31.Find the LCM of 10 and 16.
  32. 32.Find the HCF of 40 and 35.
  33. 33.Find the LCM of 7, 6 and 12.
  34. 34.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  35. 35.Find the LCM of 15 and 20.
  36. 36.Find the LCM of 54 and 30.
  37. 37.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  38. 38.Find the HCF of 84 and 24.
  39. 39.Find the HCF of 50 and 60.
  40. 40.Find the LCM of 45 and 35.

Answer key

  1. 14
  2. 40
  3. 15
  4. 36
  5. 120
  6. 14
  7. 3
  8. 126
  9. 48
  10. 56
  11. 6
  12. 7
  13. 13
  14. 90
  15. 10
  16. 11
  17. 10
  18. 18
  19. 12
  20. 48
  21. 60
  22. 140
  23. 8
  24. 150
  25. 48
  26. 15
  27. 4
  28. 8
  29. 7
  30. 9
  31. 80
  32. 5
  33. 84
  34. 16
  35. 60
  36. 270
  37. 10
  38. 12
  39. 10
  40. 315

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