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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 213 · 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 25 and 35.
  2. 2.Find the LCM of 12 and 16.
  3. 3.Find the LCM of 4, 14 and 6.
  4. 4.Find the LCM of 8 and 18.
  5. 5.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  6. 6.Find the HCF of 21 and 12.
  7. 7.Find the LCM of 16 and 10.
  8. 8.Find the LCM of 3, 12 and 9.
  9. 9.Find the HCF of 98 and 112.
  10. 10.Find the HCF of 10 and 14.
  11. 11.Find the LCM of 15, 12 and 6.
  12. 12.Find the HCF of 88 and 99.
  13. 13.Find the HCF of 63 and 45.
  14. 14.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  15. 15.Find the HCF of 8 and 18.
  16. 16.Find the LCM of 4, 15 and 6.
  17. 17.Find the LCM of 8, 2 and 10.
  18. 18.Find the HCF of 39 and 65.
  19. 19.Find the LCM of 42 and 12.
  20. 20.Find the HCF of 30 and 25.
  21. 21.Find the HCF of 56 and 32.
  22. 22.Find the LCM of 8 and 6.
  23. 23.Find the HCF of 28 and 8.
  24. 24.Find the HCF of 26 and 39.
  25. 25.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  26. 26.Find the LCM of 30 and 12.
  27. 27.Find the LCM of 11, 2 and 8.
  28. 28.Find the HCF of 15 and 9.
  29. 29.Find the LCM of 5, 4 and 10.
  30. 30.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  31. 31.Find the HCF of 99 and 88.
  32. 32.Find the HCF of 35 and 15.
  33. 33.Find the LCM of 5, 2 and 7.
  34. 34.Find the HCF of 50 and 60.
  35. 35.Find the LCM of 24 and 30.
  36. 36.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  37. 37.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  38. 38.Find the HCF of 30 and 48.
  39. 39.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  40. 40.Find the LCM of 28 and 12.

Answer key

  1. 5
  2. 48
  3. 84
  4. 72
  5. 24
  6. 3
  7. 80
  8. 36
  9. 14
  10. 2
  11. 60
  12. 11
  13. 9
  14. 6
  15. 2
  16. 60
  17. 40
  18. 13
  19. 84
  20. 5
  21. 8
  22. 24
  23. 4
  24. 13
  25. 21
  26. 60
  27. 88
  28. 3
  29. 20
  30. 9
  31. 11
  32. 5
  33. 70
  34. 10
  35. 120
  36. 35
  37. 6
  38. 6
  39. 21
  40. 84

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