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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 401 · 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 21.
  2. 2.Find the LCM of 14, 15 and 7.
  3. 3.Find the LCM of 9, 6 and 8.
  4. 4.Find the HCF of 40 and 35.
  5. 5.Find the LCM of 16 and 36.
  6. 6.Find the HCF of 28 and 63.
  7. 7.Find the LCM of 48 and 42.
  8. 8.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  9. 9.Find the LCM of 12, 14 and 2.
  10. 10.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  11. 11.Find the LCM of 12, 6 and 4.
  12. 12.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  13. 13.Find the HCF of 44 and 99.
  14. 14.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  15. 15.Find the HCF of 44 and 33.
  16. 16.Find the LCM of 32 and 20.
  17. 17.Find the LCM of 27 and 15.
  18. 18.Find the LCM of 6, 2 and 12.
  19. 19.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  20. 20.Find the HCF of 84 and 72.
  21. 21.Find the HCF of 96 and 108.
  22. 22.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  23. 23.Find the HCF of 20 and 50.
  24. 24.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  25. 25.Find the LCM of 4, 6 and 12.
  26. 26.Find the HCF of 77 and 88.
  27. 27.Find the HCF of 88 and 33.
  28. 28.Find the LCM of 15, 5 and 7.
  29. 29.Find the LCM of 6 and 14.
  30. 30.Find the LCM of 28 and 36.
  31. 31.Find the HCF of 70 and 42.
  32. 32.Find the HCF of 42 and 70.
  33. 33.Find the LCM of 4, 7 and 2.
  34. 34.Find the HCF of 12 and 32.
  35. 35.Find the LCM of 15 and 20.
  36. 36.Find the HCF of 35 and 14.
  37. 37.Find the HCF of 105 and 120.
  38. 38.Find the LCM of 9 and 15.
  39. 39.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  40. 40.Find the HCF of 56 and 64.

Answer key

  1. 3
  2. 210
  3. 72
  4. 5
  5. 144
  6. 7
  7. 336
  8. 14
  9. 84
  10. 72
  11. 12
  12. 32
  13. 11
  14. 9
  15. 11
  16. 160
  17. 135
  18. 12
  19. 21
  20. 12
  21. 12
  22. 56
  23. 10
  24. 63
  25. 12
  26. 11
  27. 11
  28. 105
  29. 42
  30. 252
  31. 14
  32. 14
  33. 28
  34. 4
  35. 60
  36. 7
  37. 15
  38. 45
  39. 9
  40. 8

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