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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 190 · 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 40 and 16.
  2. 2.Find the LCM of 8, 2 and 3.
  3. 3.Find the LCM of 30 and 24.
  4. 4.Find the LCM of 8 and 9.
  5. 5.Find the LCM of 9, 7 and 6.
  6. 6.Find the HCF of 77 and 44.
  7. 7.Find the HCF of 42 and 56.
  8. 8.Find the LCM of 14, 13 and 7.
  9. 9.Find the HCF of 20 and 16.
  10. 10.Find the HCF of 36 and 8.
  11. 11.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  12. 12.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  13. 13.Find the LCM of 42 and 12.
  14. 14.Find the LCM of 6, 2 and 11.
  15. 15.Find the LCM of 7, 15 and 2.
  16. 16.Find the LCM of 7, 4 and 5.
  17. 17.Find the LCM of 4 and 10.
  18. 18.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  19. 19.Find the LCM of 25 and 45.
  20. 20.Find the HCF of 12 and 10.
  21. 21.Find the LCM of 4, 3 and 2.
  22. 22.Find the LCM of 20 and 32.
  23. 23.Find the LCM of 21 and 9.
  24. 24.Find the HCF of 20 and 8.
  25. 25.Find the HCF of 35 and 40.
  26. 26.Find the LCM of 18 and 14.
  27. 27.Find the LCM of 3, 4 and 12.
  28. 28.Find the LCM of 6 and 14.
  29. 29.Find the LCM of 10, 12 and 2.
  30. 30.Find the LCM of 9, 10 and 6.
  31. 31.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  32. 32.Find the LCM of 8, 4 and 12.
  33. 33.Find the HCF of 8 and 12.
  34. 34.Find the LCM of 8, 5 and 6.
  35. 35.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  36. 36.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  37. 37.Find the LCM of 13, 9 and 3.
  38. 38.Find the LCM of 12, 8 and 14.
  39. 39.Find the LCM of 27 and 12.
  40. 40.Find the HCF of 18 and 12.

Answer key

  1. 8
  2. 24
  3. 120
  4. 72
  5. 126
  6. 11
  7. 14
  8. 182
  9. 4
  10. 4
  11. 48
  12. 72
  13. 84
  14. 66
  15. 210
  16. 140
  17. 20
  18. 63
  19. 225
  20. 2
  21. 12
  22. 160
  23. 63
  24. 4
  25. 5
  26. 126
  27. 12
  28. 42
  29. 60
  30. 90
  31. 28
  32. 24
  33. 4
  34. 120
  35. 24
  36. 28
  37. 117
  38. 168
  39. 108
  40. 6

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