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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 136 · 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 72 and 16.
  2. 2.Find the LCM of 3, 6 and 13.
  3. 3.Find the HCF of 39 and 91.
  4. 4.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  5. 5.Find the LCM of 28 and 12.
  6. 6.Find the LCM of 7 and 5.
  7. 7.Find the HCF of 15 and 21.
  8. 8.Find the HCF of 33 and 22.
  9. 9.Find the LCM of 14, 4 and 2.
  10. 10.Find the HCF of 54 and 45.
  11. 11.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  12. 12.Find the HCF of 32 and 24.
  13. 13.Find the HCF of 10 and 6.
  14. 14.Find the HCF of 20 and 8.
  15. 15.Find the LCM of 15 and 21.
  16. 16.Find the HCF of 42 and 24.
  17. 17.Find the LCM of 4, 2 and 6.
  18. 18.Find the LCM of 4, 14 and 12.
  19. 19.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  20. 20.Find the HCF of 112 and 70.
  21. 21.Find the HCF of 22 and 33.
  22. 22.Find the HCF of 72 and 84.
  23. 23.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  24. 24.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  25. 25.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  26. 26.Find the HCF of 15 and 18.
  27. 27.Find the HCF of 15 and 9.
  28. 28.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  29. 29.Find the LCM of 12, 3 and 7.
  30. 30.Find the LCM of 24 and 28.
  31. 31.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  32. 32.Find the LCM of 21 and 15.
  33. 33.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  34. 34.Find the LCM of 6 and 4.
  35. 35.Find the LCM of 4, 5 and 12.
  36. 36.Find the HCF of 35 and 28.
  37. 37.Find the LCM of 8, 12 and 10.
  38. 38.Find the LCM of 5, 6 and 7.
  39. 39.Find the HCF of 6 and 9.
  40. 40.Find the HCF of 24 and 36.

Answer key

  1. 8
  2. 78
  3. 13
  4. 10
  5. 84
  6. 35
  7. 3
  8. 11
  9. 28
  10. 9
  11. 15
  12. 8
  13. 2
  14. 4
  15. 105
  16. 6
  17. 12
  18. 84
  19. 10
  20. 14
  21. 11
  22. 12
  23. 35
  24. 15
  25. 16
  26. 3
  27. 3
  28. 63
  29. 84
  30. 168
  31. 30
  32. 105
  33. 25
  34. 12
  35. 60
  36. 7
  37. 120
  38. 210
  39. 3
  40. 12

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