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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 173 · 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 54 and 30.
  2. 2.Find the LCM of 40 and 15.
  3. 3.Find the HCF of 9 and 15.
  4. 4.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 18 and 10.
  6. 6.Find the HCF of 36 and 32.
  7. 7.Find the HCF of 30 and 135.
  8. 8.Find the LCM of 10, 4 and 7.
  9. 9.Find the LCM of 32 and 12.
  10. 10.Find the LCM of 16 and 20.
  11. 11.Find the LCM of 21 and 24.
  12. 12.Find the LCM of 3, 14 and 5.
  13. 13.Find the HCF of 12 and 28.
  14. 14.Find the LCM of 14 and 8.
  15. 15.Find the LCM of 30 and 48.
  16. 16.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  17. 17.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  18. 18.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  19. 19.Find the LCM of 28 and 12.
  20. 20.Find the LCM of 5, 14 and 15.
  21. 21.Find the LCM of 20 and 16.
  22. 22.Find the HCF of 63 and 54.
  23. 23.Find the LCM of 18 and 12.
  24. 24.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  25. 25.Find the HCF of 65 and 117.
  26. 26.Find the LCM of 10 and 18.
  27. 27.Find the HCF of 90 and 20.
  28. 28.Find the LCM of 28 and 8.
  29. 29.Find the HCF of 48 and 60.
  30. 30.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  31. 31.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  32. 32.Find the HCF of 14 and 49.
  33. 33.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  34. 34.Find the LCM of 4, 8 and 5.
  35. 35.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  36. 36.Find the HCF of 18 and 14.
  37. 37.Find the HCF of 63 and 49.
  38. 38.Find the LCM of 9 and 7.
  39. 39.Find the HCF of 18 and 15.
  40. 40.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?

Answer key

  1. 6
  2. 120
  3. 3
  4. 6
  5. 90
  6. 4
  7. 15
  8. 140
  9. 96
  10. 80
  11. 168
  12. 210
  13. 4
  14. 56
  15. 240
  16. 20
  17. 63
  18. 10
  19. 84
  20. 210
  21. 80
  22. 9
  23. 36
  24. 21
  25. 13
  26. 90
  27. 10
  28. 56
  29. 12
  30. 16
  31. 56
  32. 7
  33. 72
  34. 40
  35. 14
  36. 2
  37. 7
  38. 63
  39. 3
  40. 36

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