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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 3 · 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 10 and 8.
  2. 2.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.Find the HCF of 20 and 15.
  4. 4.Find the LCM of 9 and 2.
  5. 5.Find the LCM of 14 and 6.
  6. 6.Find the HCF of 21 and 56.
  7. 7.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  8. 8.Find the LCM of 2, 13 and 14.
  9. 9.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  10. 10.Find the LCM of 15, 11 and 5.
  11. 11.Find the LCM of 12, 5 and 10.
  12. 12.Find the LCM of 10, 4 and 5.
  13. 13.Find the LCM of 4, 14 and 7.
  14. 14.Find the HCF of 75 and 90.
  15. 15.Find the LCM of 36 and 16.
  16. 16.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  17. 17.Find the LCM of 2, 6 and 15.
  18. 18.Find the LCM of 10, 6 and 15.
  19. 19.Find the LCM of 5, 10 and 9.
  20. 20.Find the HCF of 108 and 96.
  21. 21.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  22. 22.Find the LCM of 4, 11 and 12.
  23. 23.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  24. 24.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  25. 25.Find the LCM of 45 and 40.
  26. 26.Find the LCM of 16 and 12.
  27. 27.Find the HCF of 30 and 135.
  28. 28.Find the LCM of 18 and 8.
  29. 29.Find the LCM of 7, 5 and 3.
  30. 30.Find the LCM of 5, 10 and 7.
  31. 31.Find the LCM of 18 and 16.
  32. 32.Find the LCM of 10 and 15.
  33. 33.Find the LCM of 4, 12 and 9.
  34. 34.Find the LCM of 8 and 18.
  35. 35.Find the LCM of 24 and 28.
  36. 36.Find the LCM of 14 and 4.
  37. 37.Find the LCM of 3 and 7.
  38. 38.Find the HCF of 49 and 28.
  39. 39.Find the LCM of 36 and 8.
  40. 40.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?

Answer key

  1. 2
  2. 14
  3. 5
  4. 18
  5. 42
  6. 7
  7. 16
  8. 182
  9. 12
  10. 165
  11. 60
  12. 20
  13. 28
  14. 15
  15. 144
  16. 9
  17. 30
  18. 30
  19. 90
  20. 12
  21. 36
  22. 132
  23. 12
  24. 18
  25. 360
  26. 48
  27. 15
  28. 72
  29. 105
  30. 70
  31. 144
  32. 30
  33. 36
  34. 72
  35. 168
  36. 28
  37. 21
  38. 7
  39. 72
  40. 24

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