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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 293 · 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 14 and 8.
  2. 2.Find the LCM of 10, 2 and 5.
  3. 3.Find the LCM of 8 and 18.
  4. 4.Find the HCF of 56 and 40.
  5. 5.Find the LCM of 12, 3 and 2.
  6. 6.Find the LCM of 35 and 15.
  7. 7.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  8. 8.Find the LCM of 11, 3 and 4.
  9. 9.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  11. 11.Find the LCM of 12 and 54.
  12. 12.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  13. 13.Find the HCF of 45 and 63.
  14. 14.Find the LCM of 4, 3 and 7.
  15. 15.Find the LCM of 13, 8 and 2.
  16. 16.Find the LCM of 3, 4 and 11.
  17. 17.Find the HCF of 60 and 72.
  18. 18.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  19. 19.Find the HCF of 112 and 70.
  20. 20.Find the HCF of 54 and 12.
  21. 21.Find the LCM of 3 and 7.
  22. 22.Find the LCM of 9, 4 and 6.
  23. 23.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  24. 24.Find the HCF of 35 and 40.
  25. 25.Find the LCM of 5, 2 and 10.
  26. 26.Find the LCM of 28 and 32.
  27. 27.Find the LCM of 2, 3 and 10.
  28. 28.Find the LCM of 7 and 3.
  29. 29.Find the HCF of 14 and 35.
  30. 30.Find the HCF of 120 and 135.
  31. 31.Find the HCF of 30 and 35.
  32. 32.Find the LCM of 15, 5 and 2.
  33. 33.Find the HCF of 126 and 28.
  34. 34.Find the HCF of 42 and 28.
  35. 35.Find the LCM of 14 and 10.
  36. 36.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  37. 37.Find the HCF of 60 and 108.
  38. 38.Find the LCM of 4, 2 and 3.
  39. 39.Find the HCF of 27 and 24.
  40. 40.Find the HCF of 49 and 14.

Answer key

  1. 2
  2. 10
  3. 72
  4. 8
  5. 12
  6. 105
  7. 30
  8. 132
  9. 18
  10. 10
  11. 108
  12. 8
  13. 9
  14. 84
  15. 104
  16. 132
  17. 12
  18. 15
  19. 14
  20. 6
  21. 21
  22. 36
  23. 28
  24. 5
  25. 10
  26. 224
  27. 30
  28. 21
  29. 7
  30. 15
  31. 5
  32. 30
  33. 14
  34. 14
  35. 70
  36. 64
  37. 12
  38. 12
  39. 3
  40. 7

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