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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 182 · 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 18 and 8.
  2. 2.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  3. 3.Find the LCM of 25 and 20.
  4. 4.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  5. 5.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  6. 6.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  7. 7.Find the LCM of 10, 14 and 2.
  8. 8.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  9. 9.Find the LCM of 15 and 20.
  10. 10.Find the HCF of 21 and 27.
  11. 11.Find the LCM of 6 and 15.
  12. 12.Find the LCM of 15, 10 and 12.
  13. 13.Find the LCM of 25 and 15.
  14. 14.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  15. 15.Find the HCF of 36 and 24.
  16. 16.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  17. 17.Find the LCM of 18 and 8.
  18. 18.Find the HCF of 64 and 24.
  19. 19.Find the LCM of 30 and 42.
  20. 20.Find the HCF of 91 and 39.
  21. 21.Find the HCF of 60 and 108.
  22. 22.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  23. 23.Find the LCM of 6, 10 and 14.
  24. 24.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 30 and 48.
  26. 26.Find the LCM of 4, 13 and 3.
  27. 27.Find the LCM of 3 and 8.
  28. 28.Find the HCF of 27 and 63.
  29. 29.Find the HCF of 20 and 28.
  30. 30.Find the HCF of 20 and 8.
  31. 31.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  32. 32.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  33. 33.Find the LCM of 18 and 48.
  34. 34.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  35. 35.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  36. 36.Find the LCM of 11, 2 and 12.
  37. 37.Find the LCM of 6 and 10.
  38. 38.Find the LCM of 12 and 16.
  39. 39.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  40. 40.Find the HCF of 88 and 33.

Answer key

  1. 2
  2. 27
  3. 100
  4. 20
  5. 14
  6. 10
  7. 70
  8. 42
  9. 60
  10. 3
  11. 30
  12. 60
  13. 75
  14. 25
  15. 12
  16. 56
  17. 72
  18. 8
  19. 210
  20. 13
  21. 12
  22. 16
  23. 210
  24. 14
  25. 240
  26. 156
  27. 24
  28. 9
  29. 4
  30. 4
  31. 12
  32. 12
  33. 144
  34. 12
  35. 6
  36. 132
  37. 30
  38. 48
  39. 16
  40. 11

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