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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 452 · 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 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  2. 2.Find the HCF of 55 and 66.
  3. 3.Find the HCF of 6 and 9.
  4. 4.Find the HCF of 32 and 12.
  5. 5.Find the LCM of 4, 2 and 6.
  6. 6.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  7. 7.Find the HCF of 48 and 18.
  8. 8.Find the HCF of 99 and 88.
  9. 9.Find the LCM of 8 and 6.
  10. 10.Find the LCM of 10, 9 and 3.
  11. 11.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  12. 12.Find the LCM of 4, 7 and 3.
  13. 13.Find the HCF of 20 and 15.
  14. 14.Find the HCF of 42 and 112.
  15. 15.Find the LCM of 40 and 45.
  16. 16.Find the LCM of 15 and 18.
  17. 17.Find the LCM of 18 and 10.
  18. 18.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  19. 19.Find the LCM of 18 and 14.
  20. 20.Find the HCF of 36 and 96.
  21. 21.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  22. 22.Find the LCM of 24 and 30.
  23. 23.Find the LCM of 10 and 45.
  24. 24.Find the HCF of 30 and 45.
  25. 25.Find the HCF of 60 and 72.
  26. 26.Find the LCM of 25 and 15.
  27. 27.Find the LCM of 12 and 28.
  28. 28.Find the LCM of 11, 7 and 3.
  29. 29.Find the LCM of 6, 9 and 10.
  30. 30.Find the LCM of 14, 12 and 2.
  31. 31.Find the HCF of 36 and 45.
  32. 32.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  34. 34.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  35. 35.Find the HCF of 8 and 12.
  36. 36.Find the LCM of 4, 9 and 5.
  37. 37.Find the LCM of 11, 10 and 2.
  38. 38.Find the LCM of 25 and 40.
  39. 39.Find the LCM of 12, 4 and 9.
  40. 40.Find the LCM of 3, 13 and 15.

Answer key

  1. 63
  2. 11
  3. 3
  4. 4
  5. 12
  6. 21
  7. 6
  8. 11
  9. 24
  10. 90
  11. 20
  12. 84
  13. 5
  14. 14
  15. 360
  16. 90
  17. 90
  18. 24
  19. 126
  20. 12
  21. 6
  22. 120
  23. 90
  24. 15
  25. 12
  26. 75
  27. 84
  28. 231
  29. 90
  30. 84
  31. 9
  32. 18
  33. 42
  34. 24
  35. 4
  36. 180
  37. 110
  38. 200
  39. 36
  40. 195

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