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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 168 · 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 12 and 20.
  2. 2.Find the HCF of 27 and 63.
  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 15 and 24.
  5. 5.Find the HCF of 45 and 35.
  6. 6.Find the HCF of 35 and 28.
  7. 7.Find the LCM of 15 and 6.
  8. 8.Find the HCF of 15 and 6.
  9. 9.Find the LCM of 20 and 32.
  10. 10.Find the LCM of 13, 5 and 10.
  11. 11.Find the HCF of 25 and 15.
  12. 12.Find the LCM of 2 and 9.
  13. 13.Find the LCM of 14, 9 and 3.
  14. 14.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  15. 15.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  16. 16.Find the LCM of 9, 14 and 2.
  17. 17.Find the LCM of 18 and 24.
  18. 18.Find the LCM of 5, 8 and 15.
  19. 19.Find the LCM of 3, 8 and 9.
  20. 20.Find the LCM of 3, 6 and 4.
  21. 21.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  22. 22.Find the HCF of 36 and 16.
  23. 23.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  24. 24.Find the LCM of 54 and 12.
  25. 25.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  26. 26.Find the HCF of 6 and 21.
  27. 27.Find the LCM of 4, 14 and 3.
  28. 28.Find the LCM of 4, 2 and 12.
  29. 29.Find the HCF of 28 and 49.
  30. 30.Find the LCM of 11, 2 and 6.
  31. 31.Find the HCF of 70 and 98.
  32. 32.Find the LCM of 8, 4 and 3.
  33. 33.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  34. 34.Find the HCF of 105 and 75.
  35. 35.Find the HCF of 77 and 55.
  36. 36.Find the LCM of 15 and 18.
  37. 37.Find the LCM of 35 and 20.
  38. 38.Find the LCM of 2 and 5.
  39. 39.Find the LCM of 18 and 30.
  40. 40.Find the HCF of 91 and 52.

Answer key

  1. 4
  2. 9
  3. 27
  4. 120
  5. 5
  6. 7
  7. 30
  8. 3
  9. 160
  10. 130
  11. 5
  12. 18
  13. 126
  14. 56
  15. 40
  16. 126
  17. 72
  18. 120
  19. 72
  20. 12
  21. 18
  22. 4
  23. 20
  24. 108
  25. 28
  26. 3
  27. 84
  28. 12
  29. 7
  30. 66
  31. 14
  32. 24
  33. 15
  34. 15
  35. 11
  36. 90
  37. 140
  38. 10
  39. 90
  40. 13

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