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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 389 · 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.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  2. 2.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  3. 3.Find the LCM of 14 and 12.
  4. 4.Find the LCM of 40 and 25.
  5. 5.Find the LCM of 12 and 16.
  6. 6.Find the HCF of 30 and 35.
  7. 7.Find the HCF of 10 and 18.
  8. 8.Find the HCF of 60 and 96.
  9. 9.Find the HCF of 16 and 72.
  10. 10.Find the LCM of 8, 10 and 5.
  11. 11.Find the LCM of 9, 7 and 6.
  12. 12.Find the LCM of 7 and 3.
  13. 13.Find the LCM of 8 and 5.
  14. 14.Find the LCM of 12, 2 and 8.
  15. 15.Find the LCM of 9, 12 and 10.
  16. 16.Find the HCF of 27 and 21.
  17. 17.Find the HCF of 91 and 65.
  18. 18.Find the LCM of 9 and 2.
  19. 19.Find the HCF of 12 and 18.
  20. 20.Find the LCM of 4, 8 and 13.
  21. 21.Find the LCM of 12, 14 and 8.
  22. 22.Find the HCF of 84 and 24.
  23. 23.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  25. 25.Find the LCM of 18 and 10.
  26. 26.Find the LCM of 2, 5 and 7.
  27. 27.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  28. 28.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  29. 29.Find the HCF of 54 and 24.
  30. 30.Find the HCF of 52 and 39.
  31. 31.Find the LCM of 35 and 25.
  32. 32.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  33. 33.Find the LCM of 40 and 35.
  34. 34.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  35. 35.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  36. 36.Find the LCM of 8 and 9.
  37. 37.Find the HCF of 28 and 8.
  38. 38.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  39. 39.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  40. 40.Find the HCF of 105 and 45.

Answer key

  1. 6
  2. 32
  3. 84
  4. 200
  5. 48
  6. 5
  7. 2
  8. 12
  9. 8
  10. 40
  11. 126
  12. 21
  13. 40
  14. 24
  15. 180
  16. 3
  17. 13
  18. 18
  19. 6
  20. 104
  21. 168
  22. 12
  23. 27
  24. 28
  25. 90
  26. 70
  27. 27
  28. 30
  29. 6
  30. 13
  31. 175
  32. 27
  33. 280
  34. 49
  35. 16
  36. 72
  37. 4
  38. 9
  39. 18
  40. 15

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