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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 358 · 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 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  2. 2.Find the HCF of 24 and 40.
  3. 3.Find the LCM of 9 and 24.
  4. 4.Find the HCF of 12 and 27.
  5. 5.Find the HCF of 36 and 30.
  6. 6.Find the LCM of 6, 4 and 14.
  7. 7.Find the HCF of 60 and 45.
  8. 8.Find the HCF of 91 and 39.
  9. 9.Find the LCM of 7 and 4.
  10. 10.Find the HCF of 98 and 126.
  11. 11.Find the LCM of 42 and 18.
  12. 12.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  13. 13.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  14. 14.Find the LCM of 2, 14 and 3.
  15. 15.Find the LCM of 4, 12 and 15.
  16. 16.Find the HCF of 135 and 105.
  17. 17.Find the LCM of 15, 6 and 7.
  18. 18.Find the LCM of 5, 14 and 15.
  19. 19.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  20. 20.Find the LCM of 15 and 35.
  21. 21.Find the HCF of 40 and 30.
  22. 22.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  23. 23.Find the HCF of 20 and 90.
  24. 24.Find the LCM of 8 and 12.
  25. 25.Find the LCM of 3 and 5.
  26. 26.Find the LCM of 12 and 18.
  27. 27.Find the HCF of 14 and 16.
  28. 28.Find the HCF of 105 and 135.
  29. 29.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  30. 30.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  31. 31.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  32. 32.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  33. 33.Find the LCM of 24 and 18.
  34. 34.Find the HCF of 22 and 99.
  35. 35.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  37. 37.Find the LCM of 42 and 36.
  38. 38.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  39. 39.Find the HCF of 21 and 35.
  40. 40.Find the LCM of 2, 5 and 4.

Answer key

  1. 18
  2. 8
  3. 72
  4. 3
  5. 6
  6. 84
  7. 15
  8. 13
  9. 28
  10. 14
  11. 126
  12. 12
  13. 18
  14. 42
  15. 60
  16. 15
  17. 210
  18. 210
  19. 35
  20. 105
  21. 10
  22. 24
  23. 10
  24. 24
  25. 15
  26. 36
  27. 2
  28. 15
  29. 6
  30. 63
  31. 8
  32. 18
  33. 72
  34. 11
  35. 10
  36. 6
  37. 252
  38. 12
  39. 7
  40. 20

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