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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 93 · 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 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  2. 2.Find the LCM of 2 and 5.
  3. 3.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  4. 4.Find the HCF of 55 and 22.
  5. 5.Find the HCF of 120 and 135.
  6. 6.Find the HCF of 33 and 77.
  7. 7.Find the HCF of 56 and 24.
  8. 8.Find the HCF of 70 and 56.
  9. 9.Find the LCM of 12 and 20.
  10. 10.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  11. 11.Find the HCF of 16 and 20.
  12. 12.Find the LCM of 20 and 25.
  13. 13.Find the HCF of 30 and 40.
  14. 14.Find the HCF of 12 and 42.
  15. 15.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  16. 16.Find the LCM of 20 and 8.
  17. 17.Find the HCF of 14 and 21.
  18. 18.Find the LCM of 9, 12 and 3.
  19. 19.Find the LCM of 6, 10 and 4.
  20. 20.Find the LCM of 24 and 30.
  21. 21.Find the LCM of 2, 9 and 3.
  22. 22.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  23. 23.Find the LCM of 54 and 30.
  24. 24.Find the HCF of 18 and 4.
  25. 25.Find the HCF of 33 and 22.
  26. 26.Find the LCM of 3, 15 and 10.
  27. 27.Find the HCF of 30 and 70.
  28. 28.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  29. 29.Find the HCF of 48 and 108.
  30. 30.Find the HCF of 105 and 30.
  31. 31.Find the LCM of 3 and 4.
  32. 32.Find the HCF of 32 and 40.
  33. 33.Find the HCF of 126 and 70.
  34. 34.Find the LCM of 15 and 35.
  35. 35.Find the LCM of 10 and 14.
  36. 36.Find the LCM of 16 and 10.
  37. 37.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  38. 38.Find the HCF of 9 and 6.
  39. 39.Find the LCM of 15, 13 and 3.
  40. 40.Find the LCM of 18 and 15.

Answer key

  1. 40
  2. 10
  3. 28
  4. 11
  5. 15
  6. 11
  7. 8
  8. 14
  9. 60
  10. 49
  11. 4
  12. 100
  13. 10
  14. 6
  15. 9
  16. 40
  17. 7
  18. 36
  19. 60
  20. 120
  21. 18
  22. 63
  23. 270
  24. 2
  25. 11
  26. 30
  27. 10
  28. 40
  29. 12
  30. 15
  31. 12
  32. 8
  33. 14
  34. 105
  35. 70
  36. 80
  37. 12
  38. 3
  39. 195
  40. 90

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