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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 70 · 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 35.
  2. 2.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  3. 3.Find the LCM of 4 and 7.
  4. 4.Find the HCF of 96 and 108.
  5. 5.Find the LCM of 14, 7 and 13.
  6. 6.Find the LCM of 7, 14 and 5.
  7. 7.Find the LCM of 6 and 21.
  8. 8.Find the LCM of 5 and 7.
  9. 9.Find the LCM of 3, 6 and 12.
  10. 10.Find the LCM of 15 and 9.
  11. 11.Find the LCM of 15 and 6.
  12. 12.Find the LCM of 30 and 18.
  13. 13.Find the LCM of 6 and 5.
  14. 14.Find the LCM of 21 and 24.
  15. 15.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  16. 16.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  17. 17.Find the LCM of 15, 2 and 6.
  18. 18.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 4 and 5.
  20. 20.Find the HCF of 14 and 18.
  21. 21.Find the HCF of 9 and 15.
  22. 22.Find the LCM of 14 and 16.
  23. 23.Find the LCM of 6 and 10.
  24. 24.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  25. 25.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  26. 26.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  27. 27.Find the HCF of 49 and 42.
  28. 28.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  29. 29.Find the LCM of 15, 5 and 10.
  30. 30.Find the LCM of 7, 14 and 2.
  31. 31.Find the LCM of 54 and 42.
  32. 32.Find the HCF of 54 and 12.
  33. 33.Find the HCF of 98 and 56.
  34. 34.Find the LCM of 2, 6 and 10.
  35. 35.Find the LCM of 12, 3 and 14.
  36. 36.Find the HCF of 35 and 56.
  37. 37.Find the HCF of 6 and 9.
  38. 38.Find the LCM of 28 and 32.
  39. 39.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  40. 40.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?

Answer key

  1. 5
  2. 28
  3. 28
  4. 12
  5. 182
  6. 70
  7. 42
  8. 35
  9. 12
  10. 45
  11. 30
  12. 90
  13. 30
  14. 168
  15. 12
  16. 15
  17. 30
  18. 9
  19. 20
  20. 2
  21. 3
  22. 112
  23. 30
  24. 81
  25. 24
  26. 56
  27. 7
  28. 10
  29. 30
  30. 14
  31. 378
  32. 6
  33. 14
  34. 30
  35. 84
  36. 7
  37. 3
  38. 224
  39. 28
  40. 21

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