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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 441 · 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 25 and 10.
  2. 2.Find the HCF of 42 and 28.
  3. 3.Find the LCM of 15, 2 and 8.
  4. 4.Find the HCF of 36 and 84.
  5. 5.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  6. 6.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  7. 7.Find the LCM of 5 and 7.
  8. 8.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  9. 9.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 15 and 35.
  11. 11.Find the LCM of 9 and 8.
  12. 12.Find the HCF of 126 and 28.
  13. 13.Find the LCM of 36 and 32.
  14. 14.Find the LCM of 35 and 30.
  15. 15.Find the HCF of 28 and 35.
  16. 16.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 45 and 40.
  18. 18.Find the LCM of 6, 12 and 13.
  19. 19.Find the LCM of 5, 13 and 15.
  20. 20.Find the LCM of 6, 2 and 5.
  21. 21.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  22. 22.Find the HCF of 56 and 70.
  23. 23.Find the LCM of 9, 10 and 3.
  24. 24.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  25. 25.Find the LCM of 5, 11 and 3.
  26. 26.Find the HCF of 12 and 8.
  27. 27.Find the LCM of 15, 10 and 7.
  28. 28.Find the LCM of 9, 11 and 3.
  29. 29.Find the LCM of 8 and 18.
  30. 30.Find the HCF of 81 and 63.
  31. 31.Find the LCM of 3, 7 and 8.
  32. 32.Find the LCM of 3, 10 and 4.
  33. 33.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  34. 34.Find the LCM of 4, 9 and 8.
  35. 35.Find the HCF of 48 and 40.
  36. 36.Find the HCF of 105 and 135.
  37. 37.Find the LCM of 14 and 18.
  38. 38.Find the LCM of 2, 6 and 10.
  39. 39.Find the HCF of 64 and 24.
  40. 40.Find the HCF of 40 and 56.

Answer key

  1. 50
  2. 14
  3. 120
  4. 12
  5. 10
  6. 45
  7. 35
  8. 72
  9. 35
  10. 105
  11. 72
  12. 14
  13. 288
  14. 210
  15. 7
  16. 27
  17. 360
  18. 156
  19. 195
  20. 30
  21. 8
  22. 14
  23. 90
  24. 24
  25. 165
  26. 4
  27. 210
  28. 99
  29. 72
  30. 9
  31. 168
  32. 60
  33. 56
  34. 72
  35. 8
  36. 15
  37. 126
  38. 30
  39. 8
  40. 8

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