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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 595 · 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 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  2. 2.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  3. 3.Find the HCF of 48 and 40.
  4. 4.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  5. 5.Find the LCM of 3 and 5.
  6. 6.Find the LCM of 4, 15 and 3.
  7. 7.Find the LCM of 25 and 15.
  8. 8.Find the LCM of 4 and 3.
  9. 9.Find the HCF of 30 and 70.
  10. 10.Find the HCF of 15 and 18.
  11. 11.Find the HCF of 10 and 14.
  12. 12.Find the HCF of 26 and 91.
  13. 13.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  14. 14.Find the LCM of 36 and 20.
  15. 15.Find the LCM of 3, 2 and 13.
  16. 16.Find the HCF of 15 and 9.
  17. 17.Find the LCM of 18 and 8.
  18. 18.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  19. 19.Find the LCM of 36 and 16.
  20. 20.Find the LCM of 2, 9 and 8.
  21. 21.Find the HCF of 30 and 54.
  22. 22.Find the LCM of 14, 3 and 4.
  23. 23.Find the HCF of 80 and 30.
  24. 24.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  25. 25.Find the LCM of 12, 2 and 14.
  26. 26.Find the HCF of 8 and 12.
  27. 27.Find the LCM of 2, 10 and 15.
  28. 28.Find the LCM of 28 and 24.
  29. 29.Find the HCF of 98 and 84.
  30. 30.Find the LCM of 24 and 28.
  31. 31.Find the LCM of 5 and 6.
  32. 32.Find the HCF of 77 and 22.
  33. 33.Find the HCF of 135 and 30.
  34. 34.Find the LCM of 30 and 36.
  35. 35.Find the HCF of 24 and 27.
  36. 36.Find the HCF of 63 and 56.
  37. 37.Find the LCM of 14, 5 and 4.
  38. 38.Find the HCF of 10 and 35.
  39. 39.Find the LCM of 2 and 7.
  40. 40.Find the LCM of 7 and 3.

Answer key

  1. 63
  2. 36
  3. 8
  4. 40
  5. 15
  6. 60
  7. 75
  8. 12
  9. 10
  10. 3
  11. 2
  12. 13
  13. 49
  14. 180
  15. 78
  16. 3
  17. 72
  18. 9
  19. 144
  20. 72
  21. 6
  22. 84
  23. 10
  24. 12
  25. 84
  26. 4
  27. 30
  28. 168
  29. 14
  30. 168
  31. 30
  32. 11
  33. 15
  34. 180
  35. 3
  36. 7
  37. 140
  38. 5
  39. 14
  40. 21

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