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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 945 · 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 45 and 25.
  2. 2.Find the LCM of 8 and 14.
  3. 3.Find the LCM of 12 and 30.
  4. 4.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  5. 5.Find the LCM of 10 and 6.
  6. 6.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  7. 7.Find the LCM of 8, 15 and 4.
  8. 8.Find the LCM of 2, 3 and 13.
  9. 9.Find the HCF of 105 and 120.
  10. 10.Find the HCF of 24 and 18.
  11. 11.Find the HCF of 22 and 99.
  12. 12.Find the HCF of 25 and 20.
  13. 13.Find the HCF of 60 and 84.
  14. 14.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  15. 15.Find the LCM of 20 and 24.
  16. 16.Find the LCM of 10 and 12.
  17. 17.Find the HCF of 30 and 135.
  18. 18.Find the LCM of 9, 8 and 12.
  19. 19.Find the HCF of 112 and 42.
  20. 20.Find the HCF of 117 and 104.
  21. 21.Find the LCM of 13, 15 and 5.
  22. 22.Find the LCM of 10 and 35.
  23. 23.Find the LCM of 4 and 10.
  24. 24.Find the LCM of 9, 2 and 5.
  25. 25.Find the LCM of 15 and 27.
  26. 26.Find the LCM of 5 and 8.
  27. 27.Find the HCF of 9 and 6.
  28. 28.Find the HCF of 98 and 42.
  29. 29.Find the LCM of 24 and 9.
  30. 30.Find the HCF of 42 and 28.
  31. 31.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  32. 32.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  33. 33.Find the HCF of 30 and 45.
  34. 34.Find the HCF of 21 and 49.
  35. 35.Find the HCF of 8 and 36.
  36. 36.Find the HCF of 32 and 40.
  37. 37.Find the HCF of 75 and 60.
  38. 38.Find the LCM of 6 and 4.
  39. 39.Find the HCF of 135 and 120.
  40. 40.Find the LCM of 8, 6 and 3.

Answer key

  1. 5
  2. 56
  3. 60
  4. 36
  5. 30
  6. 10
  7. 120
  8. 78
  9. 15
  10. 6
  11. 11
  12. 5
  13. 12
  14. 6
  15. 120
  16. 60
  17. 15
  18. 72
  19. 14
  20. 13
  21. 195
  22. 70
  23. 20
  24. 90
  25. 135
  26. 40
  27. 3
  28. 14
  29. 72
  30. 14
  31. 18
  32. 40
  33. 15
  34. 7
  35. 4
  36. 8
  37. 15
  38. 12
  39. 15
  40. 24

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