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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 508 · 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 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  2. 2.Find the HCF of 28 and 32.
  3. 3.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  4. 4.Find the HCF of 56 and 16.
  5. 5.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  6. 6.Find the LCM of 28 and 36.
  7. 7.Find the LCM of 42 and 48.
  8. 8.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  9. 9.Find the HCF of 24 and 20.
  10. 10.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  11. 11.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  12. 12.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  13. 13.Find the HCF of 52 and 91.
  14. 14.Find the LCM of 10, 4 and 6.
  15. 15.Find the LCM of 4, 5 and 8.
  16. 16.Find the HCF of 35 and 10.
  17. 17.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  18. 18.Find the LCM of 7 and 8.
  19. 19.Find the LCM of 10 and 16.
  20. 20.Find the HCF of 36 and 48.
  21. 21.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  22. 22.Find the LCM of 2, 6 and 7.
  23. 23.Find the LCM of 9 and 7.
  24. 24.Find the LCM of 18 and 48.
  25. 25.Find the LCM of 3, 2 and 13.
  26. 26.Find the HCF of 24 and 30.
  27. 27.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  28. 28.Find the LCM of 2, 15 and 12.
  29. 29.Find the LCM of 28 and 20.
  30. 30.Find the LCM of 25 and 30.
  31. 31.Find the HCF of 36 and 60.
  32. 32.Find the HCF of 70 and 50.
  33. 33.Find the LCM of 2, 15 and 7.
  34. 34.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  35. 35.Find the HCF of 16 and 40.
  36. 36.Find the LCM of 10, 3 and 7.
  37. 37.Find the HCF of 84 and 48.
  38. 38.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  39. 39.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  40. 40.Find the HCF of 18 and 45.

Answer key

  1. 10
  2. 4
  3. 72
  4. 8
  5. 16
  6. 252
  7. 336
  8. 32
  9. 4
  10. 12
  11. 45
  12. 28
  13. 13
  14. 60
  15. 40
  16. 5
  17. 6
  18. 56
  19. 80
  20. 12
  21. 18
  22. 42
  23. 63
  24. 144
  25. 78
  26. 6
  27. 48
  28. 60
  29. 140
  30. 150
  31. 12
  32. 10
  33. 210
  34. 30
  35. 8
  36. 210
  37. 12
  38. 10
  39. 6
  40. 9

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