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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 290 · 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 10.
  2. 2.Find the HCF of 70 and 80.
  3. 3.Find the LCM of 24 and 42.
  4. 4.Find the HCF of 64 and 72.
  5. 5.Find the HCF of 16 and 18.
  6. 6.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  7. 7.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  8. 8.Find the HCF of 24 and 9.
  9. 9.Find the LCM of 20 and 8.
  10. 10.Find the LCM of 54 and 24.
  11. 11.Find the LCM of 15, 9 and 5.
  12. 12.Find the HCF of 35 and 21.
  13. 13.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 5, 15 and 11.
  15. 15.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  16. 16.Find the LCM of 3, 9 and 8.
  17. 17.Find the LCM of 12, 4 and 2.
  18. 18.Find the LCM of 5 and 9.
  19. 19.Find the HCF of 30 and 12.
  20. 20.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  21. 21.Find the HCF of 60 and 135.
  22. 22.Find the HCF of 54 and 30.
  23. 23.Find the HCF of 50 and 20.
  24. 24.Find the HCF of 105 and 45.
  25. 25.Find the LCM of 4 and 3.
  26. 26.Find the LCM of 12, 9 and 3.
  27. 27.Find the LCM of 9, 3 and 15.
  28. 28.Find the LCM of 10 and 35.
  29. 29.Find the LCM of 21 and 15.
  30. 30.Find the LCM of 8 and 3.
  31. 31.Find the HCF of 12 and 16.
  32. 32.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  33. 33.Find the LCM of 15, 7 and 10.
  34. 34.Find the LCM of 10 and 16.
  35. 35.Find the HCF of 105 and 120.
  36. 36.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  37. 37.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  38. 38.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  39. 39.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?

Answer key

  1. 5
  2. 10
  3. 168
  4. 8
  5. 2
  6. 54
  7. 8
  8. 3
  9. 40
  10. 216
  11. 45
  12. 7
  13. 16
  14. 165
  15. 54
  16. 72
  17. 12
  18. 45
  19. 6
  20. 35
  21. 15
  22. 6
  23. 10
  24. 15
  25. 12
  26. 36
  27. 45
  28. 70
  29. 105
  30. 24
  31. 4
  32. 6
  33. 210
  34. 80
  35. 15
  36. 63
  37. 16
  38. 18
  39. 40
  40. 18

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