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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 547 · 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 24 and 9.
  2. 2.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  3. 3.Find the HCF of 49 and 14.
  4. 4.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  5. 5.Find the LCM of 35 and 40.
  6. 6.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  7. 7.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  8. 8.Find the HCF of 10 and 12.
  9. 9.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  10. 10.Find the LCM of 12, 6 and 10.
  11. 11.Find the LCM of 4, 8 and 15.
  12. 12.Find the LCM of 5, 8 and 2.
  13. 13.Find the LCM of 15, 9 and 6.
  14. 14.Find the LCM of 15 and 40.
  15. 15.Find the LCM of 3, 5 and 4.
  16. 16.Find the HCF of 77 and 66.
  17. 17.Find the HCF of 35 and 30.
  18. 18.Find the HCF of 70 and 28.
  19. 19.Find the HCF of 12 and 9.
  20. 20.Find the LCM of 36 and 32.
  21. 21.Find the LCM of 8, 3 and 9.
  22. 22.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  23. 23.Find the HCF of 81 and 72.
  24. 24.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  25. 25.Find the LCM of 14, 4 and 3.
  26. 26.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  27. 27.Find the HCF of 65 and 52.
  28. 28.Find the HCF of 42 and 28.
  29. 29.Find the HCF of 30 and 105.
  30. 30.Find the LCM of 8, 4 and 13.
  31. 31.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 7, 15 and 10.
  33. 33.Find the HCF of 18 and 27.
  34. 34.Find the HCF of 50 and 80.
  35. 35.Find the HCF of 63 and 35.
  36. 36.Find the LCM of 10, 6 and 4.
  37. 37.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  38. 38.Find the LCM of 18 and 42.
  39. 39.Find the HCF of 54 and 12.
  40. 40.Find the LCM of 14 and 12.

Answer key

  1. 3
  2. 16
  3. 7
  4. 32
  5. 280
  6. 40
  7. 35
  8. 2
  9. 6
  10. 60
  11. 120
  12. 40
  13. 90
  14. 120
  15. 60
  16. 11
  17. 5
  18. 14
  19. 3
  20. 288
  21. 72
  22. 18
  23. 9
  24. 27
  25. 84
  26. 16
  27. 13
  28. 14
  29. 15
  30. 104
  31. 4
  32. 210
  33. 9
  34. 10
  35. 7
  36. 60
  37. 18
  38. 126
  39. 6
  40. 84

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