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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 587 · 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 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  2. 2.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  3. 3.Find the HCF of 16 and 10.
  4. 4.Find the LCM of 18 and 48.
  5. 5.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  6. 6.Find the LCM of 6, 9 and 8.
  7. 7.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  8. 8.Find the LCM of 6 and 9.
  9. 9.Find the LCM of 3, 10 and 15.
  10. 10.Find the LCM of 15, 3 and 5.
  11. 11.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  12. 12.Find the LCM of 9 and 7.
  13. 13.Find the HCF of 30 and 12.
  14. 14.Find the LCM of 6, 9 and 5.
  15. 15.Find the LCM of 7 and 4.
  16. 16.Find the LCM of 4, 9 and 15.
  17. 17.Find the HCF of 24 and 60.
  18. 18.Find the LCM of 54 and 24.
  19. 19.Find the LCM of 8 and 28.
  20. 20.Find the LCM of 4, 14 and 12.
  21. 21.Find the HCF of 63 and 72.
  22. 22.Find the HCF of 22 and 33.
  23. 23.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  24. 24.Find the HCF of 45 and 63.
  25. 25.Find the HCF of 75 and 105.
  26. 26.Find the LCM of 40 and 25.
  27. 27.Find the LCM of 12 and 15.
  28. 28.Find the LCM of 2, 3 and 6.
  29. 29.Find the LCM of 9 and 24.
  30. 30.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  31. 31.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  32. 32.Find the HCF of 24 and 42.
  33. 33.Find the LCM of 7, 3 and 4.
  34. 34.Find the LCM of 6, 5 and 15.
  35. 35.Find the HCF of 24 and 28.
  36. 36.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  37. 37.Find the LCM of 8 and 14.
  38. 38.Find the LCM of 8, 9 and 6.
  39. 39.Find the LCM of 6, 8 and 2.
  40. 40.Find the HCF of 8 and 28.

Answer key

  1. 54
  2. 18
  3. 2
  4. 144
  5. 18
  6. 72
  7. 36
  8. 18
  9. 30
  10. 15
  11. 18
  12. 63
  13. 6
  14. 90
  15. 28
  16. 180
  17. 12
  18. 216
  19. 56
  20. 84
  21. 9
  22. 11
  23. 54
  24. 9
  25. 15
  26. 200
  27. 60
  28. 6
  29. 72
  30. 20
  31. 16
  32. 6
  33. 84
  34. 30
  35. 4
  36. 18
  37. 56
  38. 72
  39. 24
  40. 4

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