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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 533 · 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 320. One of the numbers is 40. What is the other number?
  2. 2.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 7 and 8.
  4. 4.Find the LCM of 12 and 21.
  5. 5.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  6. 6.Find the HCF of 36 and 20.
  7. 7.Find the LCM of 12, 4 and 15.
  8. 8.Find the HCF of 44 and 99.
  9. 9.Find the HCF of 12 and 21.
  10. 10.Find the HCF of 12 and 30.
  11. 11.Find the LCM of 9 and 15.
  12. 12.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  13. 13.Find the HCF of 14 and 63.
  14. 14.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  15. 15.Find the LCM of 4 and 5.
  16. 16.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  17. 17.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  18. 18.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  19. 19.Find the LCM of 3, 4 and 15.
  20. 20.Find the HCF of 10 and 25.
  21. 21.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  22. 22.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  23. 23.Find the HCF of 90 and 75.
  24. 24.Find the LCM of 3 and 8.
  25. 25.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  26. 26.Find the HCF of 39 and 52.
  27. 27.Find the LCM of 3, 12 and 2.
  28. 28.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  29. 29.Find the LCM of 5 and 6.
  30. 30.Find the LCM of 9, 6 and 7.
  31. 31.Find the HCF of 77 and 55.
  32. 32.Find the HCF of 36 and 30.
  33. 33.Find the LCM of 9 and 4.
  34. 34.Find the LCM of 6 and 9.
  35. 35.Find the LCM of 25 and 20.
  36. 36.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  37. 37.Find the LCM of 45 and 35.
  38. 38.Find the LCM of 5, 8 and 10.
  39. 39.Find the HCF of 42 and 12.
  40. 40.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?

Answer key

  1. 64
  2. 27
  3. 56
  4. 84
  5. 12
  6. 4
  7. 60
  8. 11
  9. 3
  10. 6
  11. 45
  12. 10
  13. 7
  14. 27
  15. 20
  16. 18
  17. 64
  18. 18
  19. 60
  20. 5
  21. 35
  22. 49
  23. 15
  24. 24
  25. 16
  26. 13
  27. 12
  28. 30
  29. 30
  30. 126
  31. 11
  32. 6
  33. 36
  34. 18
  35. 100
  36. 32
  37. 315
  38. 40
  39. 6
  40. 6

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