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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 660 · 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 75 and 105.
  2. 2.Find the HCF of 15 and 40.
  3. 3.Find the HCF of 15 and 9.
  4. 4.Find the LCM of 12, 11 and 3.
  5. 5.Find the LCM of 2 and 9.
  6. 6.Find the LCM of 30 and 12.
  7. 7.Find the LCM of 12 and 32.
  8. 8.Find the LCM of 14 and 18.
  9. 9.Find the LCM of 15 and 9.
  10. 10.Find the LCM of 14, 9 and 2.
  11. 11.Find the HCF of 112 and 126.
  12. 12.Find the HCF of 10 and 15.
  13. 13.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  14. 14.Find the HCF of 27 and 15.
  15. 15.Find the LCM of 18 and 48.
  16. 16.Find the HCF of 126 and 112.
  17. 17.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  18. 18.Find the HCF of 48 and 42.
  19. 19.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  20. 20.Find the HCF of 10 and 16.
  21. 21.Find the HCF of 36 and 63.
  22. 22.Find the LCM of 5, 7 and 2.
  23. 23.Find the HCF of 88 and 55.
  24. 24.Find the HCF of 14 and 21.
  25. 25.Find the HCF of 49 and 14.
  26. 26.Find the LCM of 12 and 8.
  27. 27.Find the HCF of 12 and 10.
  28. 28.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  29. 29.Find the LCM of 5, 2 and 6.
  30. 30.Find the HCF of 33 and 77.
  31. 31.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 9 and 7.
  33. 33.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  34. 34.Find the HCF of 35 and 28.
  35. 35.Find the LCM of 12 and 18.
  36. 36.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  37. 37.Find the LCM of 4 and 5.
  38. 38.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  39. 39.Find the HCF of 45 and 105.
  40. 40.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?

Answer key

  1. 15
  2. 5
  3. 3
  4. 132
  5. 18
  6. 60
  7. 96
  8. 126
  9. 45
  10. 126
  11. 14
  12. 5
  13. 36
  14. 3
  15. 144
  16. 14
  17. 6
  18. 6
  19. 20
  20. 2
  21. 9
  22. 70
  23. 11
  24. 7
  25. 7
  26. 24
  27. 2
  28. 8
  29. 30
  30. 11
  31. 15
  32. 63
  33. 45
  34. 7
  35. 36
  36. 63
  37. 20
  38. 28
  39. 15
  40. 20

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