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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 662 · 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 54 and 24.
  2. 2.Find the LCM of 4 and 14.
  3. 3.Find the HCF of 120 and 45.
  4. 4.Find the HCF of 48 and 108.
  5. 5.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  6. 6.Find the LCM of 6 and 4.
  7. 7.Find the HCF of 48 and 40.
  8. 8.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  10. 10.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  11. 11.Find the LCM of 48 and 54.
  12. 12.Find the HCF of 36 and 48.
  13. 13.Find the LCM of 12 and 30.
  14. 14.Find the LCM of 28 and 12.
  15. 15.Find the HCF of 20 and 32.
  16. 16.Find the HCF of 135 and 120.
  17. 17.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  20. 20.Find the LCM of 6 and 5.
  21. 21.Find the LCM of 6, 4 and 7.
  22. 22.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  23. 23.Find the LCM of 2, 8 and 7.
  24. 24.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  25. 25.Find the HCF of 45 and 35.
  26. 26.Find the HCF of 91 and 104.
  27. 27.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  28. 28.Find the LCM of 54 and 24.
  29. 29.Find the LCM of 12 and 32.
  30. 30.Find the HCF of 15 and 24.
  31. 31.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  32. 32.Find the LCM of 42 and 48.
  33. 33.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  34. 34.Find the HCF of 8 and 28.
  35. 35.Find the HCF of 65 and 26.
  36. 36.Find the LCM of 4, 5 and 6.
  37. 37.Find the LCM of 20 and 32.
  38. 38.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  39. 39.Find the LCM of 2 and 9.
  40. 40.Find the LCM of 18 and 30.

Answer key

  1. 6
  2. 28
  3. 15
  4. 12
  5. 36
  6. 12
  7. 8
  8. 63
  9. 4
  10. 21
  11. 432
  12. 12
  13. 60
  14. 84
  15. 4
  16. 15
  17. 4
  18. 48
  19. 27
  20. 30
  21. 84
  22. 24
  23. 56
  24. 24
  25. 5
  26. 13
  27. 35
  28. 216
  29. 96
  30. 3
  31. 6
  32. 336
  33. 36
  34. 4
  35. 13
  36. 60
  37. 160
  38. 21
  39. 18
  40. 90

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