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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 512 · 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 6 and 4.
  2. 2.Find the HCF of 27 and 45.
  3. 3.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  4. 4.Find the LCM of 5, 8 and 4.
  5. 5.Find the LCM of 2 and 9.
  6. 6.Find the LCM of 6, 5 and 8.
  7. 7.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  8. 8.Find the LCM of 14, 15 and 2.
  9. 9.Find the LCM of 2 and 3.
  10. 10.Find the HCF of 48 and 108.
  11. 11.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  12. 12.Find the LCM of 9, 7 and 3.
  13. 13.Find the LCM of 18 and 21.
  14. 14.Find the HCF of 50 and 80.
  15. 15.Find the HCF of 48 and 84.
  16. 16.Find the HCF of 70 and 50.
  17. 17.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  18. 18.Find the HCF of 18 and 48.
  19. 19.Find the HCF of 24 and 36.
  20. 20.Find the HCF of 20 and 70.
  21. 21.Find the LCM of 24 and 42.
  22. 22.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  23. 23.Find the LCM of 9 and 6.
  24. 24.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  25. 25.Find the LCM of 9 and 4.
  26. 26.Find the LCM of 4 and 3.
  27. 27.Find the LCM of 25 and 10.
  28. 28.Find the HCF of 52 and 39.
  29. 29.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  30. 30.Find the HCF of 50 and 20.
  31. 31.Find the LCM of 2, 15 and 5.
  32. 32.Find the HCF of 10 and 45.
  33. 33.Find the HCF of 6 and 9.
  34. 34.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  35. 35.Find the HCF of 16 and 12.
  36. 36.Find the LCM of 3, 6 and 12.
  37. 37.Find the LCM of 35 and 15.
  38. 38.Find the HCF of 16 and 18.
  39. 39.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  40. 40.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?

Answer key

  1. 2
  2. 9
  3. 27
  4. 40
  5. 18
  6. 120
  7. 14
  8. 210
  9. 6
  10. 12
  11. 48
  12. 63
  13. 126
  14. 10
  15. 12
  16. 10
  17. 16
  18. 6
  19. 12
  20. 10
  21. 168
  22. 12
  23. 18
  24. 8
  25. 36
  26. 12
  27. 50
  28. 13
  29. 14
  30. 10
  31. 30
  32. 5
  33. 3
  34. 8
  35. 4
  36. 12
  37. 105
  38. 2
  39. 56
  40. 25

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