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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 227 · 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 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  2. 2.Find the HCF of 45 and 25.
  3. 3.Find the HCF of 8 and 6.
  4. 4.Find the LCM of 12, 8 and 10.
  5. 5.Find the HCF of 28 and 42.
  6. 6.Find the LCM of 45 and 25.
  7. 7.Find the LCM of 4, 2 and 14.
  8. 8.Find the LCM of 12 and 32.
  9. 9.Find the HCF of 28 and 8.
  10. 10.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  11. 11.Find the LCM of 12 and 14.
  12. 12.Find the HCF of 50 and 70.
  13. 13.Find the HCF of 40 and 70.
  14. 14.Find the LCM of 4 and 7.
  15. 15.Find the LCM of 4, 15 and 9.
  16. 16.Find the LCM of 5, 10 and 8.
  17. 17.Find the LCM of 6, 9 and 5.
  18. 18.Find the LCM of 24 and 9.
  19. 19.Find the LCM of 3, 8 and 14.
  20. 20.Find the LCM of 13, 5 and 15.
  21. 21.Find the LCM of 16 and 6.
  22. 22.Find the HCF of 12 and 27.
  23. 23.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  24. 24.Find the LCM of 4 and 5.
  25. 25.Find the LCM of 54 and 24.
  26. 26.Find the LCM of 10 and 45.
  27. 27.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  28. 28.Find the HCF of 21 and 24.
  29. 29.Find the LCM of 10 and 15.
  30. 30.Find the HCF of 28 and 98.
  31. 31.Find the LCM of 25 and 35.
  32. 32.Find the LCM of 14 and 12.
  33. 33.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  34. 34.Find the HCF of 30 and 36.
  35. 35.Find the LCM of 10, 4 and 12.
  36. 36.Find the HCF of 54 and 48.
  37. 37.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  38. 38.Find the LCM of 5, 4 and 9.
  39. 39.Find the HCF of 22 and 77.
  40. 40.Find the HCF of 12 and 20.

Answer key

  1. 54
  2. 5
  3. 2
  4. 120
  5. 14
  6. 225
  7. 28
  8. 96
  9. 4
  10. 35
  11. 84
  12. 10
  13. 10
  14. 28
  15. 180
  16. 40
  17. 90
  18. 72
  19. 168
  20. 195
  21. 48
  22. 3
  23. 42
  24. 20
  25. 216
  26. 90
  27. 32
  28. 3
  29. 30
  30. 14
  31. 175
  32. 84
  33. 42
  34. 6
  35. 60
  36. 6
  37. 18
  38. 180
  39. 11
  40. 4

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