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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 649 · 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 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  2. 2.Find the LCM of 6 and 7.
  3. 3.Find the LCM of 14 and 4.
  4. 4.Find the HCF of 9 and 24.
  5. 5.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  6. 6.Find the HCF of 14 and 4.
  7. 7.Find the LCM of 7 and 5.
  8. 8.Find the LCM of 25 and 35.
  9. 9.Find the HCF of 18 and 4.
  10. 10.Find the LCM of 5, 6 and 8.
  11. 11.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  12. 12.Find the LCM of 4, 6 and 9.
  13. 13.Find the HCF of 50 and 20.
  14. 14.Find the LCM of 9 and 15.
  15. 15.Find the LCM of 15 and 27.
  16. 16.Find the HCF of 56 and 21.
  17. 17.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  18. 18.Find the LCM of 5, 13 and 2.
  19. 19.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  20. 20.Find the LCM of 25 and 15.
  21. 21.Find the LCM of 9, 3 and 4.
  22. 22.Find the HCF of 60 and 135.
  23. 23.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  24. 24.Find the LCM of 5 and 6.
  25. 25.Find the LCM of 20 and 8.
  26. 26.Find the LCM of 18 and 8.
  27. 27.Find the HCF of 36 and 8.
  28. 28.Find the LCM of 15 and 10.
  29. 29.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  30. 30.Find the HCF of 40 and 90.
  31. 31.Find the LCM of 11, 5 and 4.
  32. 32.Find the LCM of 2, 3 and 4.
  33. 33.Find the HCF of 15 and 10.
  34. 34.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  35. 35.Find the LCM of 20 and 32.
  36. 36.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  37. 37.Find the HCF of 45 and 40.
  38. 38.Find the LCM of 30 and 12.
  39. 39.Find the HCF of 33 and 55.
  40. 40.Find the HCF of 45 and 35.

Answer key

  1. 21
  2. 42
  3. 28
  4. 3
  5. 28
  6. 2
  7. 35
  8. 175
  9. 2
  10. 120
  11. 24
  12. 36
  13. 10
  14. 45
  15. 135
  16. 7
  17. 25
  18. 130
  19. 27
  20. 75
  21. 36
  22. 15
  23. 30
  24. 30
  25. 40
  26. 72
  27. 4
  28. 30
  29. 81
  30. 10
  31. 220
  32. 12
  33. 5
  34. 21
  35. 160
  36. 12
  37. 5
  38. 60
  39. 11
  40. 5

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