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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 483 · 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 90 and 20.
  2. 2.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  3. 3.Find the LCM of 10 and 8.
  4. 4.Find the HCF of 72 and 45.
  5. 5.Find the LCM of 54 and 48.
  6. 6.Find the LCM of 7, 15 and 3.
  7. 7.Find the LCM of 12 and 21.
  8. 8.Find the HCF of 99 and 44.
  9. 9.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  10. 10.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  11. 11.Find the LCM of 7, 13 and 14.
  12. 12.Find the HCF of 16 and 14.
  13. 13.Find the HCF of 6 and 16.
  14. 14.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  15. 15.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  16. 16.Find the LCM of 10 and 6.
  17. 17.Find the HCF of 30 and 75.
  18. 18.Find the LCM of 4, 8 and 6.
  19. 19.Find the HCF of 27 and 63.
  20. 20.Find the LCM of 8, 10 and 4.
  21. 21.Find the LCM of 6 and 8.
  22. 22.Find the LCM of 6, 2 and 5.
  23. 23.Find the LCM of 15, 7 and 2.
  24. 24.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  25. 25.Find the LCM of 3, 8 and 4.
  26. 26.Find the HCF of 98 and 56.
  27. 27.Find the HCF of 72 and 27.
  28. 28.Find the HCF of 45 and 60.
  29. 29.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  30. 30.Find the LCM of 14, 8 and 7.
  31. 31.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  32. 32.Find the LCM of 28 and 20.
  33. 33.Find the HCF of 80 and 50.
  34. 34.Find the LCM of 7 and 8.
  35. 35.Find the LCM of 18 and 24.
  36. 36.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  37. 37.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  38. 38.Find the HCF of 30 and 12.
  39. 39.Find the HCF of 24 and 40.
  40. 40.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?

Answer key

  1. 10
  2. 8
  3. 40
  4. 9
  5. 432
  6. 105
  7. 84
  8. 11
  9. 12
  10. 6
  11. 182
  12. 2
  13. 2
  14. 21
  15. 15
  16. 30
  17. 15
  18. 24
  19. 9
  20. 40
  21. 24
  22. 30
  23. 210
  24. 24
  25. 24
  26. 14
  27. 9
  28. 15
  29. 28
  30. 56
  31. 18
  32. 140
  33. 10
  34. 56
  35. 72
  36. 25
  37. 8
  38. 6
  39. 8
  40. 12

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