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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 24 · 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 LCM of 5 and 9.
  2. 2.Find the HCF of 8 and 28.
  3. 3.Find the LCM of 2, 7 and 8.
  4. 4.Find the HCF of 15 and 40.
  5. 5.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 15, 2 and 8.
  7. 7.Find the HCF of 44 and 99.
  8. 8.Find the HCF of 42 and 56.
  9. 9.Find the HCF of 56 and 98.
  10. 10.Find the LCM of 10, 8 and 2.
  11. 11.Find the LCM of 10 and 12.
  12. 12.Find the LCM of 14, 3 and 9.
  13. 13.Find the HCF of 52 and 91.
  14. 14.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  15. 15.Find the HCF of 30 and 45.
  16. 16.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  17. 17.Find the HCF of 80 and 70.
  18. 18.Find the HCF of 10 and 14.
  19. 19.Find the HCF of 6 and 10.
  20. 20.Find the HCF of 12 and 54.
  21. 21.Find the LCM of 3 and 4.
  22. 22.Find the HCF of 10 and 4.
  23. 23.Find the HCF of 16 and 36.
  24. 24.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  25. 25.Find the LCM of 21 and 27.
  26. 26.Find the LCM of 24 and 28.
  27. 27.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  28. 28.Find the LCM of 6 and 4.
  29. 29.Find the LCM of 8, 9 and 6.
  30. 30.Find the HCF of 9 and 12.
  31. 31.Find the HCF of 98 and 56.
  32. 32.Find the HCF of 63 and 49.
  33. 33.Find the LCM of 15, 13 and 3.
  34. 34.Find the HCF of 8 and 18.
  35. 35.Find the LCM of 14 and 12.
  36. 36.Find the HCF of 16 and 12.
  37. 37.Find the LCM of 4 and 18.
  38. 38.Find the HCF of 50 and 70.
  39. 39.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  40. 40.Find the HCF of 70 and 42.

Answer key

  1. 45
  2. 4
  3. 56
  4. 5
  5. 28
  6. 120
  7. 11
  8. 14
  9. 14
  10. 40
  11. 60
  12. 126
  13. 13
  14. 18
  15. 15
  16. 30
  17. 10
  18. 2
  19. 2
  20. 6
  21. 12
  22. 2
  23. 4
  24. 42
  25. 189
  26. 168
  27. 28
  28. 12
  29. 72
  30. 3
  31. 14
  32. 7
  33. 195
  34. 2
  35. 84
  36. 4
  37. 36
  38. 10
  39. 8
  40. 14

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