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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 164 · 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 12 and 8.
  2. 2.Find the LCM of 13, 2 and 5.
  3. 3.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  4. 4.Find the HCF of 108 and 96.
  5. 5.Find the HCF of 35 and 63.
  6. 6.Find the LCM of 15, 2 and 5.
  7. 7.Find the LCM of 6 and 9.
  8. 8.Find the LCM of 14 and 10.
  9. 9.Find the LCM of 3, 2 and 7.
  10. 10.Find the HCF of 42 and 49.
  11. 11.Find the LCM of 3, 14 and 12.
  12. 12.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  13. 13.Find the HCF of 63 and 72.
  14. 14.Find the LCM of 15, 8 and 2.
  15. 15.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  16. 16.Find the HCF of 70 and 28.
  17. 17.Find the HCF of 24 and 20.
  18. 18.Find the HCF of 96 and 60.
  19. 19.Find the LCM of 6, 8 and 5.
  20. 20.Find the LCM of 8, 3 and 4.
  21. 21.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  22. 22.Find the LCM of 24 and 21.
  23. 23.Find the HCF of 48 and 60.
  24. 24.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  25. 25.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  26. 26.Find the LCM of 3, 6 and 15.
  27. 27.Find the LCM of 35 and 25.
  28. 28.Find the HCF of 4 and 14.
  29. 29.Find the LCM of 18 and 8.
  30. 30.Find the LCM of 9, 12 and 2.
  31. 31.Find the HCF of 49 and 42.
  32. 32.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  33. 33.Find the LCM of 24 and 42.
  34. 34.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  35. 35.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  36. 36.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  37. 37.Find the HCF of 81 and 45.
  38. 38.Find the HCF of 36 and 45.
  39. 39.Find the LCM of 4, 3 and 11.
  40. 40.Find the LCM of 42 and 36.

Answer key

  1. 4
  2. 130
  3. 54
  4. 12
  5. 7
  6. 30
  7. 18
  8. 70
  9. 42
  10. 7
  11. 84
  12. 20
  13. 9
  14. 120
  15. 35
  16. 14
  17. 4
  18. 12
  19. 120
  20. 24
  21. 30
  22. 168
  23. 12
  24. 15
  25. 63
  26. 30
  27. 175
  28. 2
  29. 72
  30. 36
  31. 7
  32. 36
  33. 168
  34. 42
  35. 10
  36. 12
  37. 9
  38. 9
  39. 132
  40. 252

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