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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 747 · 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 63 and 27.
  2. 2.Find the HCF of 18 and 81.
  3. 3.Find the LCM of 15 and 6.
  4. 4.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  5. 5.Find the LCM of 3, 5 and 7.
  6. 6.Find the HCF of 16 and 36.
  7. 7.Find the LCM of 27 and 6.
  8. 8.Find the HCF of 77 and 88.
  9. 9.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  10. 10.Find the LCM of 25 and 35.
  11. 11.Find the LCM of 10 and 25.
  12. 12.Find the LCM of 27 and 12.
  13. 13.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  14. 14.Find the LCM of 45 and 25.
  15. 15.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 70 and 112.
  19. 19.Find the LCM of 3, 9 and 11.
  20. 20.Find the LCM of 2, 13 and 14.
  21. 21.Find the HCF of 55 and 77.
  22. 22.Find the LCM of 5 and 8.
  23. 23.Find the HCF of 24 and 21.
  24. 24.Find the HCF of 96 and 108.
  25. 25.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  26. 26.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  27. 27.Find the LCM of 12, 6 and 2.
  28. 28.Find the LCM of 5, 10 and 9.
  29. 29.Find the HCF of 65 and 39.
  30. 30.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  31. 31.Find the LCM of 6 and 21.
  32. 32.Find the LCM of 8, 7 and 6.
  33. 33.Find the LCM of 42 and 24.
  34. 34.Find the LCM of 2, 9 and 3.
  35. 35.Find the LCM of 6 and 9.
  36. 36.Find the LCM of 12 and 54.
  37. 37.Find the LCM of 20 and 12.
  38. 38.Find the LCM of 2 and 3.
  39. 39.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  40. 40.Find the HCF of 42 and 18.

Answer key

  1. 9
  2. 9
  3. 30
  4. 14
  5. 105
  6. 4
  7. 54
  8. 11
  9. 12
  10. 175
  11. 50
  12. 108
  13. 49
  14. 225
  15. 63
  16. 8
  17. 42
  18. 14
  19. 99
  20. 182
  21. 11
  22. 40
  23. 3
  24. 12
  25. 24
  26. 20
  27. 12
  28. 90
  29. 13
  30. 81
  31. 42
  32. 168
  33. 168
  34. 18
  35. 18
  36. 108
  37. 60
  38. 6
  39. 12
  40. 6

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