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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 85 · 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.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  2. 2.Find the LCM of 3, 9 and 6.
  3. 3.Find the HCF of 8 and 10.
  4. 4.Find the HCF of 35 and 20.
  5. 5.Find the HCF of 81 and 72.
  6. 6.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  7. 7.Find the LCM of 14, 3 and 9.
  8. 8.Find the LCM of 20 and 16.
  9. 9.Find the LCM of 4, 3 and 15.
  10. 10.Find the LCM of 15, 2 and 3.
  11. 11.Find the HCF of 135 and 30.
  12. 12.Find the LCM of 9 and 4.
  13. 13.Find the LCM of 3, 5 and 14.
  14. 14.Find the HCF of 63 and 49.
  15. 15.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  16. 16.Find the HCF of 28 and 8.
  17. 17.Find the LCM of 2, 3 and 12.
  18. 18.Find the HCF of 60 and 70.
  19. 19.Find the LCM of 15, 3 and 2.
  20. 20.Find the LCM of 7, 11 and 2.
  21. 21.Find the HCF of 22 and 33.
  22. 22.Find the LCM of 12, 2 and 8.
  23. 23.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  25. 25.Find the HCF of 54 and 45.
  26. 26.Find the LCM of 4, 6 and 13.
  27. 27.Find the HCF of 27 and 72.
  28. 28.Find the LCM of 6 and 16.
  29. 29.Find the HCF of 12 and 15.
  30. 30.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  31. 31.Find the HCF of 12 and 14.
  32. 32.Find the LCM of 8, 3 and 7.
  33. 33.Find the HCF of 28 and 24.
  34. 34.Find the LCM of 4, 11 and 2.
  35. 35.Find the HCF of 96 and 108.
  36. 36.Find the LCM of 2, 4 and 14.
  37. 37.Find the LCM of 16 and 28.
  38. 38.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  39. 39.Find the HCF of 12 and 20.
  40. 40.Find the LCM of 27 and 15.

Answer key

  1. 35
  2. 18
  3. 2
  4. 5
  5. 9
  6. 54
  7. 126
  8. 80
  9. 60
  10. 30
  11. 15
  12. 36
  13. 210
  14. 7
  15. 45
  16. 4
  17. 12
  18. 10
  19. 30
  20. 154
  21. 11
  22. 24
  23. 8
  24. 72
  25. 9
  26. 156
  27. 9
  28. 48
  29. 3
  30. 24
  31. 2
  32. 168
  33. 4
  34. 44
  35. 12
  36. 28
  37. 112
  38. 21
  39. 4
  40. 135

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