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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 174 · 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 49 and 35.
  2. 2.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  3. 3.Find the LCM of 5 and 9.
  4. 4.Find the LCM of 25 and 15.
  5. 5.Find the HCF of 10 and 12.
  6. 6.Find the HCF of 135 and 120.
  7. 7.Find the HCF of 80 and 50.
  8. 8.Find the HCF of 20 and 24.
  9. 9.Find the HCF of 126 and 56.
  10. 10.Find the HCF of 40 and 24.
  11. 11.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  12. 12.Find the HCF of 45 and 36.
  13. 13.Find the HCF of 90 and 105.
  14. 14.Find the LCM of 30 and 54.
  15. 15.Find the HCF of 33 and 22.
  16. 16.Find the HCF of 91 and 78.
  17. 17.Find the LCM of 6, 14 and 15.
  18. 18.Find the LCM of 24 and 54.
  19. 19.Find the LCM of 7, 2 and 4.
  20. 20.Find the LCM of 15, 7 and 6.
  21. 21.Find the LCM of 2, 12 and 5.
  22. 22.Find the LCM of 12 and 10.
  23. 23.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  24. 24.Find the LCM of 4 and 6.
  25. 25.Find the LCM of 10, 9 and 4.
  26. 26.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  27. 27.Find the LCM of 2, 7 and 12.
  28. 28.Find the LCM of 8 and 14.
  29. 29.Find the LCM of 11, 4 and 8.
  30. 30.Find the HCF of 20 and 90.
  31. 31.Find the LCM of 9, 5 and 2.
  32. 32.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  33. 33.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  34. 34.Find the LCM of 16 and 10.
  35. 35.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  36. 36.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  37. 37.Find the HCF of 6 and 9.
  38. 38.Find the LCM of 8, 2 and 13.
  39. 39.Find the HCF of 36 and 60.
  40. 40.Find the HCF of 56 and 126.

Answer key

  1. 7
  2. 15
  3. 45
  4. 75
  5. 2
  6. 15
  7. 10
  8. 4
  9. 14
  10. 8
  11. 45
  12. 9
  13. 15
  14. 270
  15. 11
  16. 13
  17. 210
  18. 216
  19. 28
  20. 210
  21. 60
  22. 60
  23. 28
  24. 12
  25. 180
  26. 56
  27. 84
  28. 56
  29. 88
  30. 10
  31. 90
  32. 42
  33. 4
  34. 80
  35. 6
  36. 56
  37. 3
  38. 104
  39. 12
  40. 14

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