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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 189 · 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 32 and 36.
  2. 2.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  3. 3.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  4. 4.Find the LCM of 16 and 6.
  5. 5.Find the LCM of 9 and 21.
  6. 6.Find the LCM of 9, 5 and 6.
  7. 7.Find the LCM of 3, 5 and 7.
  8. 8.Find the HCF of 65 and 104.
  9. 9.Find the LCM of 3, 4 and 15.
  10. 10.Find the LCM of 4, 12 and 15.
  11. 11.Find the HCF of 16 and 24.
  12. 12.Find the LCM of 8 and 7.
  13. 13.Find the LCM of 24 and 30.
  14. 14.Find the LCM of 36 and 28.
  15. 15.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  16. 16.Find the HCF of 45 and 81.
  17. 17.Find the LCM of 8, 4 and 2.
  18. 18.Find the LCM of 15, 3 and 7.
  19. 19.Find the HCF of 20 and 35.
  20. 20.Find the LCM of 16 and 14.
  21. 21.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  22. 22.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  23. 23.Find the LCM of 35 and 25.
  24. 24.Find the HCF of 70 and 60.
  25. 25.Find the LCM of 2, 10 and 9.
  26. 26.Find the LCM of 8 and 10.
  27. 27.Find the LCM of 8 and 28.
  28. 28.Find the LCM of 7, 2 and 12.
  29. 29.Find the HCF of 20 and 45.
  30. 30.Find the HCF of 15 and 12.
  31. 31.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  32. 32.Find the LCM of 25 and 10.
  33. 33.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  34. 34.Find the LCM of 5 and 4.
  35. 35.Find the LCM of 3, 11 and 15.
  36. 36.Find the LCM of 4, 2 and 7.
  37. 37.Find the HCF of 112 and 42.
  38. 38.Find the HCF of 18 and 21.
  39. 39.Find the HCF of 40 and 30.
  40. 40.Find the HCF of 108 and 48.

Answer key

  1. 4
  2. 49
  3. 28
  4. 48
  5. 63
  6. 90
  7. 105
  8. 13
  9. 60
  10. 60
  11. 8
  12. 56
  13. 120
  14. 252
  15. 54
  16. 9
  17. 8
  18. 105
  19. 5
  20. 112
  21. 21
  22. 10
  23. 175
  24. 10
  25. 90
  26. 40
  27. 56
  28. 84
  29. 5
  30. 3
  31. 6
  32. 50
  33. 20
  34. 20
  35. 165
  36. 28
  37. 14
  38. 3
  39. 10
  40. 12

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