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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 120 · 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 27 and 12.
  2. 2.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  3. 3.Find the HCF of 42 and 112.
  4. 4.Find the LCM of 10 and 25.
  5. 5.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  6. 6.Find the LCM of 14, 3 and 9.
  7. 7.Find the LCM of 18 and 42.
  8. 8.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  9. 9.Find the LCM of 15, 4 and 8.
  10. 10.Find the LCM of 10, 9 and 15.
  11. 11.Find the LCM of 9, 12 and 2.
  12. 12.Find the LCM of 12, 4 and 3.
  13. 13.Find the HCF of 9 and 24.
  14. 14.Find the HCF of 42 and 54.
  15. 15.Find the HCF of 44 and 33.
  16. 16.Find the LCM of 6 and 8.
  17. 17.Find the HCF of 28 and 36.
  18. 18.Find the LCM of 45 and 25.
  19. 19.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  20. 20.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  21. 21.Find the LCM of 32 and 28.
  22. 22.Find the LCM of 3, 6 and 9.
  23. 23.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  24. 24.Find the LCM of 2 and 5.
  25. 25.Find the HCF of 12 and 28.
  26. 26.Find the LCM of 32 and 12.
  27. 27.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  28. 28.Find the LCM of 20 and 36.
  29. 29.Find the LCM of 12, 8 and 3.
  30. 30.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  31. 31.Find the HCF of 135 and 60.
  32. 32.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  33. 33.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  35. 35.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  37. 37.Find the HCF of 8 and 12.
  38. 38.Find the LCM of 54 and 48.
  39. 39.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  40. 40.Find the LCM of 10, 14 and 15.

Answer key

  1. 3
  2. 45
  3. 14
  4. 50
  5. 8
  6. 126
  7. 126
  8. 6
  9. 120
  10. 90
  11. 36
  12. 12
  13. 3
  14. 6
  15. 11
  16. 24
  17. 4
  18. 225
  19. 12
  20. 35
  21. 224
  22. 18
  23. 63
  24. 10
  25. 4
  26. 96
  27. 20
  28. 180
  29. 24
  30. 21
  31. 15
  32. 15
  33. 49
  34. 24
  35. 16
  36. 18
  37. 4
  38. 432
  39. 24
  40. 210

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