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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 548 · 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.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  2. 2.Find the HCF of 28 and 70.
  3. 3.Find the HCF of 84 and 98.
  4. 4.Find the LCM of 2 and 9.
  5. 5.Find the LCM of 12 and 27.
  6. 6.Find the LCM of 3, 14 and 10.
  7. 7.Find the LCM of 36 and 42.
  8. 8.Find the LCM of 6 and 8.
  9. 9.Find the LCM of 35 and 10.
  10. 10.Find the HCF of 96 and 108.
  11. 11.Find the LCM of 5 and 2.
  12. 12.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  13. 13.Find the LCM of 7, 6 and 14.
  14. 14.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  15. 15.Find the HCF of 126 and 56.
  16. 16.Find the LCM of 14, 2 and 6.
  17. 17.Find the LCM of 4 and 10.
  18. 18.Find the LCM of 12, 2 and 4.
  19. 19.Find the LCM of 4 and 18.
  20. 20.Find the LCM of 6, 4 and 3.
  21. 21.Find the HCF of 6 and 21.
  22. 22.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  23. 23.Find the HCF of 77 and 55.
  24. 24.Find the LCM of 4, 6 and 13.
  25. 25.Find the HCF of 72 and 16.
  26. 26.Find the LCM of 6 and 5.
  27. 27.Find the LCM of 10, 3 and 14.
  28. 28.Find the LCM of 8 and 9.
  29. 29.Find the HCF of 20 and 30.
  30. 30.Find the LCM of 9 and 7.
  31. 31.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  32. 32.Find the LCM of 36 and 8.
  33. 33.Find the LCM of 45 and 35.
  34. 34.Find the LCM of 25 and 15.
  35. 35.Find the LCM of 12 and 18.
  36. 36.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  37. 37.Find the LCM of 15, 2 and 7.
  38. 38.Find the LCM of 18 and 4.
  39. 39.Find the LCM of 11, 2 and 7.
  40. 40.Find the HCF of 8 and 6.

Answer key

  1. 24
  2. 14
  3. 14
  4. 18
  5. 108
  6. 210
  7. 252
  8. 24
  9. 70
  10. 12
  11. 10
  12. 21
  13. 42
  14. 72
  15. 14
  16. 42
  17. 20
  18. 12
  19. 36
  20. 12
  21. 3
  22. 15
  23. 11
  24. 156
  25. 8
  26. 30
  27. 210
  28. 72
  29. 10
  30. 63
  31. 30
  32. 72
  33. 315
  34. 75
  35. 36
  36. 12
  37. 210
  38. 36
  39. 154
  40. 2

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