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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 479 · 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 16 and 6.
  2. 2.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  3. 3.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  4. 4.Find the HCF of 14 and 10.
  5. 5.Find the LCM of 2, 7 and 10.
  6. 6.Find the LCM of 4, 5 and 9.
  7. 7.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  8. 8.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  9. 9.Find the HCF of 28 and 70.
  10. 10.Find the LCM of 6, 13 and 2.
  11. 11.Find the LCM of 5 and 2.
  12. 12.Find the HCF of 80 and 50.
  13. 13.Find the HCF of 28 and 126.
  14. 14.Find the LCM of 12, 6 and 11.
  15. 15.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  16. 16.Find the LCM of 30 and 54.
  17. 17.Find the HCF of 84 and 72.
  18. 18.Find the LCM of 4, 9 and 5.
  19. 19.Find the LCM of 10, 7 and 15.
  20. 20.Find the LCM of 9, 12 and 2.
  21. 21.Find the HCF of 4 and 14.
  22. 22.Find the LCM of 21 and 9.
  23. 23.Find the HCF of 45 and 10.
  24. 24.Find the HCF of 42 and 98.
  25. 25.Find the LCM of 24 and 27.
  26. 26.Find the LCM of 11, 2 and 3.
  27. 27.Find the LCM of 20 and 24.
  28. 28.Find the LCM of 9 and 15.
  29. 29.Find the LCM of 8 and 14.
  30. 30.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  31. 31.Find the LCM of 28 and 16.
  32. 32.Find the HCF of 72 and 40.
  33. 33.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  34. 34.Find the HCF of 14 and 4.
  35. 35.Find the HCF of 20 and 30.
  36. 36.Find the HCF of 20 and 28.
  37. 37.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  38. 38.Find the HCF of 32 and 56.
  39. 39.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  40. 40.Find the LCM of 6, 10 and 3.

Answer key

  1. 2
  2. 40
  3. 12
  4. 2
  5. 70
  6. 180
  7. 64
  8. 24
  9. 14
  10. 78
  11. 10
  12. 10
  13. 14
  14. 132
  15. 36
  16. 270
  17. 12
  18. 180
  19. 210
  20. 36
  21. 2
  22. 63
  23. 5
  24. 14
  25. 216
  26. 66
  27. 120
  28. 45
  29. 56
  30. 12
  31. 112
  32. 8
  33. 72
  34. 2
  35. 10
  36. 4
  37. 27
  38. 8
  39. 18
  40. 30

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