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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 315 · 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 24 and 40.
  2. 2.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  3. 3.Find the LCM of 8, 12 and 15.
  4. 4.Find the LCM of 9, 7 and 6.
  5. 5.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  6. 6.Find the HCF of 6 and 15.
  7. 7.Find the LCM of 6 and 4.
  8. 8.Find the LCM of 6, 3 and 5.
  9. 9.Find the LCM of 20 and 16.
  10. 10.Find the LCM of 15, 9 and 12.
  11. 11.Find the HCF of 20 and 70.
  12. 12.Find the LCM of 35 and 10.
  13. 13.Find the LCM of 12 and 30.
  14. 14.Find the LCM of 11, 10 and 5.
  15. 15.Find the LCM of 21 and 12.
  16. 16.Find the LCM of 42 and 36.
  17. 17.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  18. 18.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  19. 19.Find the HCF of 10 and 25.
  20. 20.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  21. 21.Find the HCF of 55 and 77.
  22. 22.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  23. 23.Find the LCM of 5 and 2.
  24. 24.Find the HCF of 18 and 12.
  25. 25.Find the LCM of 28 and 20.
  26. 26.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  28. 28.Find the HCF of 4 and 14.
  29. 29.Find the HCF of 6 and 21.
  30. 30.Find the LCM of 7 and 3.
  31. 31.Find the LCM of 2, 7 and 3.
  32. 32.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  33. 33.Find the LCM of 3, 7 and 14.
  34. 34.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  35. 35.Find the LCM of 12 and 20.
  36. 36.Find the LCM of 6 and 5.
  37. 37.Find the LCM of 10 and 14.
  38. 38.Find the LCM of 8, 4 and 14.
  39. 39.Find the LCM of 13, 14 and 2.
  40. 40.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?

Answer key

  1. 8
  2. 15
  3. 120
  4. 126
  5. 28
  6. 3
  7. 12
  8. 30
  9. 80
  10. 180
  11. 10
  12. 70
  13. 60
  14. 110
  15. 84
  16. 252
  17. 4
  18. 40
  19. 5
  20. 12
  21. 11
  22. 27
  23. 10
  24. 6
  25. 140
  26. 35
  27. 18
  28. 2
  29. 3
  30. 21
  31. 42
  32. 72
  33. 42
  34. 12
  35. 60
  36. 30
  37. 70
  38. 56
  39. 182
  40. 10

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