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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 323 · 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 4 and 6.
  2. 2.Find the HCF of 18 and 27.
  3. 3.Find the LCM of 27 and 12.
  4. 4.Find the LCM of 6, 12 and 4.
  5. 5.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  6. 6.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  7. 7.Find the HCF of 18 and 8.
  8. 8.Find the HCF of 52 and 65.
  9. 9.Find the LCM of 9 and 5.
  10. 10.Find the LCM of 6, 9 and 2.
  11. 11.Find the HCF of 9 and 24.
  12. 12.Find the LCM of 4, 15 and 3.
  13. 13.Find the LCM of 14 and 12.
  14. 14.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  15. 15.Find the HCF of 21 and 28.
  16. 16.Find the LCM of 9, 8 and 4.
  17. 17.Find the LCM of 12, 8 and 9.
  18. 18.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  19. 19.Find the LCM of 9 and 12.
  20. 20.Find the LCM of 16 and 36.
  21. 21.Find the LCM of 18 and 24.
  22. 22.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  23. 23.Find the HCF of 99 and 55.
  24. 24.Find the LCM of 6, 11 and 3.
  25. 25.Find the LCM of 13, 12 and 2.
  26. 26.Find the LCM of 10 and 35.
  27. 27.Find the HCF of 126 and 28.
  28. 28.Find the HCF of 28 and 21.
  29. 29.Find the LCM of 10, 15 and 14.
  30. 30.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  31. 31.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  32. 32.Find the HCF of 16 and 20.
  33. 33.Find the LCM of 12, 3 and 14.
  34. 34.Find the HCF of 63 and 45.
  35. 35.Find the LCM of 7, 3 and 15.
  36. 36.Find the HCF of 56 and 16.
  37. 37.Find the HCF of 105 and 30.
  38. 38.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  39. 39.Find the LCM of 4, 2 and 14.
  40. 40.Find the HCF of 48 and 60.

Answer key

  1. 2
  2. 9
  3. 108
  4. 12
  5. 8
  6. 40
  7. 2
  8. 13
  9. 45
  10. 18
  11. 3
  12. 60
  13. 84
  14. 16
  15. 7
  16. 72
  17. 72
  18. 81
  19. 36
  20. 144
  21. 72
  22. 6
  23. 11
  24. 66
  25. 156
  26. 70
  27. 14
  28. 7
  29. 210
  30. 4
  31. 20
  32. 4
  33. 84
  34. 9
  35. 105
  36. 8
  37. 15
  38. 30
  39. 28
  40. 12

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