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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 677 · 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 12 and 10.
  2. 2.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  3. 3.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  4. 4.Find the LCM of 18 and 4.
  5. 5.Find the LCM of 3 and 4.
  6. 6.Find the LCM of 8, 12 and 6.
  7. 7.Find the LCM of 15, 3 and 12.
  8. 8.Find the HCF of 26 and 117.
  9. 9.Find the LCM of 32 and 12.
  10. 10.Find the LCM of 8 and 10.
  11. 11.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  12. 12.Find the HCF of 88 and 99.
  13. 13.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 14 and 18.
  15. 15.Find the HCF of 16 and 20.
  16. 16.Find the HCF of 27 and 36.
  17. 17.Find the LCM of 35 and 40.
  18. 18.Find the LCM of 3 and 7.
  19. 19.Find the HCF of 8 and 10.
  20. 20.Find the HCF of 60 and 70.
  21. 21.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  22. 22.Find the LCM of 9 and 12.
  23. 23.Find the LCM of 13, 6 and 12.
  24. 24.Find the HCF of 30 and 36.
  25. 25.Find the HCF of 21 and 12.
  26. 26.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  27. 27.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  28. 28.Find the HCF of 96 and 60.
  29. 29.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  30. 30.Find the LCM of 10 and 18.
  31. 31.Find the HCF of 45 and 120.
  32. 32.Find the HCF of 49 and 56.
  33. 33.Find the LCM of 6 and 15.
  34. 34.Find the LCM of 16 and 10.
  35. 35.Find the LCM of 35 and 15.
  36. 36.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 7, 8 and 6.
  38. 38.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  39. 39.Find the HCF of 27 and 18.
  40. 40.Find the HCF of 45 and 40.

Answer key

  1. 2
  2. 14
  3. 48
  4. 36
  5. 12
  6. 24
  7. 60
  8. 13
  9. 96
  10. 40
  11. 21
  12. 11
  13. 16
  14. 126
  15. 4
  16. 9
  17. 280
  18. 21
  19. 2
  20. 10
  21. 28
  22. 36
  23. 156
  24. 6
  25. 3
  26. 45
  27. 24
  28. 12
  29. 28
  30. 90
  31. 15
  32. 7
  33. 30
  34. 80
  35. 105
  36. 28
  37. 168
  38. 63
  39. 9
  40. 5

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