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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 264 · 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 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  2. 2.Find the HCF of 40 and 16.
  3. 3.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  4. 4.Find the LCM of 10, 3 and 6.
  5. 5.Find the HCF of 10 and 12.
  6. 6.Find the HCF of 6 and 9.
  7. 7.Find the HCF of 56 and 40.
  8. 8.Find the LCM of 12 and 14.
  9. 9.Find the LCM of 9 and 21.
  10. 10.Find the LCM of 2, 8 and 6.
  11. 11.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  12. 12.Find the LCM of 9 and 24.
  13. 13.Find the LCM of 2, 6 and 12.
  14. 14.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  15. 15.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  16. 16.Find the HCF of 6 and 15.
  17. 17.Find the LCM of 12 and 30.
  18. 18.Find the LCM of 7 and 3.
  19. 19.Find the LCM of 15 and 35.
  20. 20.Find the LCM of 6 and 4.
  21. 21.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  22. 22.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  23. 23.Find the HCF of 35 and 56.
  24. 24.Find the LCM of 2, 8 and 15.
  25. 25.Find the HCF of 15 and 24.
  26. 26.Find the LCM of 21 and 6.
  27. 27.Find the LCM of 6, 10 and 14.
  28. 28.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  29. 29.Find the HCF of 63 and 18.
  30. 30.Find the LCM of 3 and 2.
  31. 31.Find the LCM of 6, 9 and 10.
  32. 32.Find the LCM of 14 and 18.
  33. 33.Find the LCM of 4 and 7.
  34. 34.Find the HCF of 90 and 70.
  35. 35.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  36. 36.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  37. 37.Find the LCM of 4 and 6.
  38. 38.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  39. 39.Find the HCF of 30 and 135.
  40. 40.Find the HCF of 54 and 12.

Answer key

  1. 14
  2. 8
  3. 48
  4. 30
  5. 2
  6. 3
  7. 8
  8. 84
  9. 63
  10. 24
  11. 72
  12. 72
  13. 12
  14. 36
  15. 18
  16. 3
  17. 60
  18. 21
  19. 105
  20. 12
  21. 56
  22. 9
  23. 7
  24. 120
  25. 3
  26. 42
  27. 210
  28. 8
  29. 9
  30. 6
  31. 90
  32. 126
  33. 28
  34. 10
  35. 6
  36. 24
  37. 12
  38. 36
  39. 15
  40. 6

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