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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 392 · 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.Find the HCF of 135 and 60.
  3. 3.Find the HCF of 32 and 12.
  4. 4.Find the LCM of 12 and 14.
  5. 5.Find the LCM of 12, 10 and 4.
  6. 6.Find the HCF of 40 and 45.
  7. 7.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  8. 8.Find the LCM of 6 and 8.
  9. 9.Find the HCF of 126 and 56.
  10. 10.Find the LCM of 12 and 54.
  11. 11.Find the HCF of 15 and 35.
  12. 12.Find the HCF of 28 and 63.
  13. 13.Find the LCM of 2, 10 and 4.
  14. 14.Find the LCM of 3, 11 and 2.
  15. 15.Find the HCF of 56 and 48.
  16. 16.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  17. 17.Find the LCM of 4 and 9.
  18. 18.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  19. 19.Find the LCM of 2, 8 and 12.
  20. 20.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  21. 21.Find the HCF of 48 and 56.
  22. 22.Find the HCF of 84 and 98.
  23. 23.Find the HCF of 35 and 15.
  24. 24.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  25. 25.Find the HCF of 18 and 42.
  26. 26.Find the HCF of 112 and 126.
  27. 27.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  28. 28.Find the HCF of 60 and 72.
  29. 29.Find the LCM of 15, 13 and 3.
  30. 30.Find the LCM of 8 and 6.
  31. 31.Find the LCM of 10 and 16.
  32. 32.Find the LCM of 8 and 7.
  33. 33.Find the LCM of 5, 15 and 3.
  34. 34.Find the LCM of 5, 2 and 15.
  35. 35.Find the LCM of 13, 3 and 2.
  36. 36.Find the HCF of 70 and 30.
  37. 37.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  38. 38.Find the HCF of 24 and 18.
  39. 39.Find the LCM of 2, 6 and 8.
  40. 40.Find the HCF of 72 and 63.

Answer key

  1. 63
  2. 15
  3. 4
  4. 84
  5. 60
  6. 5
  7. 15
  8. 24
  9. 14
  10. 108
  11. 5
  12. 7
  13. 20
  14. 66
  15. 8
  16. 30
  17. 36
  18. 16
  19. 24
  20. 8
  21. 8
  22. 14
  23. 5
  24. 12
  25. 6
  26. 14
  27. 14
  28. 12
  29. 195
  30. 24
  31. 80
  32. 56
  33. 15
  34. 30
  35. 78
  36. 10
  37. 12
  38. 6
  39. 24
  40. 9

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