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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 708 · 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 LCM of 36 and 16.
  2. 2.Find the HCF of 55 and 22.
  3. 3.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  4. 4.Find the HCF of 20 and 70.
  5. 5.Find the HCF of 32 and 20.
  6. 6.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  7. 7.Find the HCF of 54 and 48.
  8. 8.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  9. 9.Find the LCM of 5 and 6.
  10. 10.Find the LCM of 14, 7 and 11.
  11. 11.Find the LCM of 7, 9 and 2.
  12. 12.Find the HCF of 48 and 60.
  13. 13.Find the LCM of 25 and 40.
  14. 14.Find the HCF of 12 and 14.
  15. 15.Find the LCM of 3, 12 and 9.
  16. 16.Find the HCF of 56 and 24.
  17. 17.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 27 and 12.
  19. 19.Find the LCM of 10, 5 and 14.
  20. 20.Find the HCF of 45 and 30.
  21. 21.Find the HCF of 108 and 60.
  22. 22.Find the LCM of 10 and 14.
  23. 23.Find the LCM of 2, 3 and 15.
  24. 24.Find the HCF of 16 and 10.
  25. 25.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  26. 26.Find the LCM of 6, 5 and 7.
  27. 27.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  28. 28.Find the LCM of 3, 5 and 14.
  29. 29.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  30. 30.Find the LCM of 14, 4 and 12.
  31. 31.Find the LCM of 12, 2 and 6.
  32. 32.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  33. 33.Find the HCF of 18 and 4.
  34. 34.Find the LCM of 36 and 8.
  35. 35.Find the LCM of 4, 15 and 2.
  36. 36.Find the HCF of 99 and 77.
  37. 37.Find the HCF of 6 and 10.
  38. 38.Find the LCM of 42 and 12.
  39. 39.Find the HCF of 22 and 33.
  40. 40.Find the HCF of 40 and 16.

Answer key

  1. 144
  2. 11
  3. 15
  4. 10
  5. 4
  6. 35
  7. 6
  8. 15
  9. 30
  10. 154
  11. 126
  12. 12
  13. 200
  14. 2
  15. 36
  16. 8
  17. 56
  18. 3
  19. 70
  20. 15
  21. 12
  22. 70
  23. 30
  24. 2
  25. 48
  26. 210
  27. 81
  28. 210
  29. 48
  30. 84
  31. 12
  32. 10
  33. 2
  34. 72
  35. 60
  36. 11
  37. 2
  38. 84
  39. 11
  40. 8

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