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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 494 · 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 42 and 24.
  2. 2.Find the LCM of 4 and 6.
  3. 3.Find the LCM of 20 and 45.
  4. 4.Find the HCF of 14 and 16.
  5. 5.Find the LCM of 3, 14 and 5.
  6. 6.Find the HCF of 84 and 48.
  7. 7.Find the LCM of 14 and 6.
  8. 8.Find the LCM of 10 and 6.
  9. 9.Find the LCM of 24 and 42.
  10. 10.Find the LCM of 18 and 24.
  11. 11.Find the HCF of 15 and 6.
  12. 12.Find the LCM of 6, 14 and 4.
  13. 13.Find the HCF of 33 and 88.
  14. 14.Find the LCM of 6 and 14.
  15. 15.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  16. 16.Find the LCM of 12 and 21.
  17. 17.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  18. 18.Find the LCM of 3, 15 and 13.
  19. 19.Find the LCM of 7, 5 and 10.
  20. 20.Find the LCM of 9, 6 and 12.
  21. 21.Find the LCM of 12, 3 and 8.
  22. 22.Find the LCM of 48 and 30.
  23. 23.Find the HCF of 72 and 27.
  24. 24.Find the LCM of 2 and 7.
  25. 25.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  26. 26.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  28. 28.Find the LCM of 5 and 3.
  29. 29.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  30. 30.Find the HCF of 8 and 12.
  31. 31.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  32. 32.Find the LCM of 16 and 20.
  33. 33.Find the LCM of 5, 6 and 8.
  34. 34.Find the HCF of 44 and 99.
  35. 35.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  36. 36.Find the LCM of 14 and 4.
  37. 37.Find the HCF of 36 and 81.
  38. 38.Find the LCM of 18 and 42.
  39. 39.Find the HCF of 9 and 21.
  40. 40.Find the LCM of 10 and 16.

Answer key

  1. 6
  2. 12
  3. 180
  4. 2
  5. 210
  6. 12
  7. 42
  8. 30
  9. 168
  10. 72
  11. 3
  12. 84
  13. 11
  14. 42
  15. 15
  16. 84
  17. 14
  18. 195
  19. 70
  20. 36
  21. 24
  22. 240
  23. 9
  24. 14
  25. 16
  26. 14
  27. 63
  28. 15
  29. 25
  30. 4
  31. 40
  32. 80
  33. 120
  34. 11
  35. 63
  36. 28
  37. 9
  38. 126
  39. 3
  40. 80

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