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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 165 · 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 15 and 6.
  2. 2.Find the LCM of 35 and 45.
  3. 3.Find the HCF of 27 and 6.
  4. 4.Find the LCM of 40 and 45.
  5. 5.Find the HCF of 52 and 117.
  6. 6.Find the LCM of 28 and 20.
  7. 7.Find the HCF of 24 and 60.
  8. 8.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  9. 9.Find the LCM of 5, 3 and 2.
  10. 10.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  12. 12.Find the LCM of 10 and 35.
  13. 13.Find the LCM of 14, 3 and 2.
  14. 14.Find the LCM of 5, 14 and 4.
  15. 15.Find the HCF of 21 and 35.
  16. 16.Find the HCF of 45 and 30.
  17. 17.Find the HCF of 45 and 20.
  18. 18.Find the HCF of 10 and 14.
  19. 19.Find the HCF of 63 and 45.
  20. 20.Find the LCM of 2, 4 and 10.
  21. 21.Find the HCF of 9 and 24.
  22. 22.Find the LCM of 20 and 12.
  23. 23.Find the LCM of 2, 14 and 9.
  24. 24.Find the HCF of 91 and 26.
  25. 25.Find the HCF of 24 and 40.
  26. 26.Find the LCM of 42 and 36.
  27. 27.Find the LCM of 12, 3 and 8.
  28. 28.Find the HCF of 33 and 77.
  29. 29.Find the HCF of 12 and 54.
  30. 30.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  31. 31.Find the LCM of 2, 12 and 13.
  32. 32.Find the LCM of 2 and 5.
  33. 33.Find the LCM of 18 and 30.
  34. 34.Find the HCF of 6 and 4.
  35. 35.Find the HCF of 42 and 24.
  36. 36.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  37. 37.Find the LCM of 35 and 20.
  38. 38.Find the LCM of 5 and 3.
  39. 39.Find the LCM of 42 and 30.
  40. 40.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?

Answer key

  1. 3
  2. 315
  3. 3
  4. 360
  5. 13
  6. 140
  7. 12
  8. 18
  9. 30
  10. 12
  11. 8
  12. 70
  13. 42
  14. 140
  15. 7
  16. 15
  17. 5
  18. 2
  19. 9
  20. 20
  21. 3
  22. 60
  23. 126
  24. 13
  25. 8
  26. 252
  27. 24
  28. 11
  29. 6
  30. 6
  31. 156
  32. 10
  33. 90
  34. 2
  35. 6
  36. 6
  37. 140
  38. 15
  39. 210
  40. 24

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