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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 286 · 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.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  4. 4.Find the HCF of 40 and 48.
  5. 5.Find the LCM of 12 and 20.
  6. 6.Find the LCM of 2 and 3.
  7. 7.Find the HCF of 60 and 84.
  8. 8.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  9. 9.Find the LCM of 13, 2 and 14.
  10. 10.Find the HCF of 14 and 49.
  11. 11.Find the HCF of 27 and 15.
  12. 12.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  13. 13.Find the LCM of 10, 12 and 9.
  14. 14.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  15. 15.Find the LCM of 14, 2 and 9.
  16. 16.Find the HCF of 27 and 6.
  17. 17.Find the LCM of 24 and 28.
  18. 18.Find the HCF of 50 and 40.
  19. 19.Find the LCM of 6 and 5.
  20. 20.Find the LCM of 5 and 4.
  21. 21.Find the HCF of 45 and 120.
  22. 22.Find the LCM of 15, 6 and 9.
  23. 23.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  24. 24.Find the LCM of 9, 2 and 11.
  25. 25.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  26. 26.Find the LCM of 4, 10 and 7.
  27. 27.Find the HCF of 72 and 40.
  28. 28.Find the LCM of 7 and 6.
  29. 29.Find the LCM of 28 and 36.
  30. 30.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  31. 31.Find the HCF of 32 and 56.
  32. 32.Find the HCF of 27 and 18.
  33. 33.Find the LCM of 4, 15 and 5.
  34. 34.Find the LCM of 3 and 8.
  35. 35.Find the HCF of 70 and 56.
  36. 36.Find the HCF of 98 and 70.
  37. 37.Find the LCM of 25 and 40.
  38. 38.Find the LCM of 12 and 10.
  39. 39.Find the HCF of 35 and 28.
  40. 40.Find the LCM of 30 and 25.

Answer key

  1. 54
  2. 12
  3. 36
  4. 8
  5. 60
  6. 6
  7. 12
  8. 32
  9. 182
  10. 7
  11. 3
  12. 14
  13. 180
  14. 6
  15. 126
  16. 3
  17. 168
  18. 10
  19. 30
  20. 20
  21. 15
  22. 90
  23. 16
  24. 198
  25. 18
  26. 140
  27. 8
  28. 42
  29. 252
  30. 32
  31. 8
  32. 9
  33. 60
  34. 24
  35. 14
  36. 14
  37. 200
  38. 60
  39. 7
  40. 150

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