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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 684 · 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 9 and 24.
  2. 2.Find the HCF of 12 and 15.
  3. 3.Find the LCM of 13, 5 and 2.
  4. 4.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 16 and 18.
  6. 6.Find the HCF of 98 and 70.
  7. 7.Find the LCM of 18 and 21.
  8. 8.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  9. 9.Find the HCF of 48 and 60.
  10. 10.Find the HCF of 25 and 15.
  11. 11.Find the LCM of 2, 4 and 13.
  12. 12.Find the LCM of 4, 2 and 12.
  13. 13.Find the HCF of 55 and 33.
  14. 14.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  15. 15.Find the LCM of 8, 4 and 14.
  16. 16.Find the HCF of 12 and 30.
  17. 17.Find the HCF of 24 and 60.
  18. 18.Find the HCF of 98 and 28.
  19. 19.Find the LCM of 5, 2 and 7.
  20. 20.Find the LCM of 25 and 20.
  21. 21.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  22. 22.Find the LCM of 8 and 14.
  23. 23.Find the LCM of 24 and 27.
  24. 24.Find the LCM of 4, 6 and 7.
  25. 25.Find the LCM of 54 and 48.
  26. 26.Find the HCF of 77 and 22.
  27. 27.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  28. 28.Find the LCM of 6, 4 and 14.
  29. 29.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  30. 30.Find the HCF of 6 and 14.
  31. 31.Find the LCM of 8, 6 and 10.
  32. 32.Find the HCF of 4 and 14.
  33. 33.Find the HCF of 26 and 117.
  34. 34.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  35. 35.Find the HCF of 21 and 9.
  36. 36.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  37. 37.Find the LCM of 13, 2 and 7.
  38. 38.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  39. 39.Find the HCF of 91 and 26.
  40. 40.Find the LCM of 54 and 12.

Answer key

  1. 3
  2. 3
  3. 130
  4. 12
  5. 144
  6. 14
  7. 126
  8. 49
  9. 12
  10. 5
  11. 52
  12. 12
  13. 11
  14. 81
  15. 56
  16. 6
  17. 12
  18. 14
  19. 70
  20. 100
  21. 27
  22. 56
  23. 216
  24. 84
  25. 432
  26. 11
  27. 12
  28. 84
  29. 4
  30. 2
  31. 120
  32. 2
  33. 13
  34. 21
  35. 3
  36. 9
  37. 182
  38. 45
  39. 13
  40. 108

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