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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 408 · 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.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  2. 2.Find the LCM of 45 and 25.
  3. 3.Find the LCM of 10, 8 and 3.
  4. 4.Find the LCM of 15 and 25.
  5. 5.Find the LCM of 15 and 9.
  6. 6.Find the HCF of 20 and 36.
  7. 7.Find the LCM of 24 and 15.
  8. 8.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  9. 9.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  10. 10.Find the LCM of 5, 15 and 4.
  11. 11.Find the HCF of 98 and 126.
  12. 12.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  13. 13.Find the LCM of 8 and 7.
  14. 14.Find the LCM of 6, 4 and 14.
  15. 15.Find the LCM of 7 and 9.
  16. 16.Find the HCF of 45 and 72.
  17. 17.Find the HCF of 8 and 14.
  18. 18.Find the LCM of 9, 5 and 15.
  19. 19.Find the LCM of 35 and 20.
  20. 20.Find the HCF of 55 and 22.
  21. 21.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  22. 22.Find the HCF of 16 and 28.
  23. 23.Find the LCM of 3, 6 and 4.
  24. 24.Find the LCM of 2, 10 and 8.
  25. 25.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  26. 26.Find the LCM of 24 and 30.
  27. 27.Find the LCM of 3, 8 and 12.
  28. 28.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  29. 29.Find the LCM of 7 and 8.
  30. 30.Find the HCF of 20 and 90.
  31. 31.Find the HCF of 49 and 21.
  32. 32.Find the LCM of 5 and 2.
  33. 33.Find the HCF of 84 and 70.
  34. 34.Find the HCF of 49 and 35.
  35. 35.Find the HCF of 42 and 36.
  36. 36.Find the HCF of 45 and 105.
  37. 37.Find the HCF of 50 and 30.
  38. 38.Find the HCF of 28 and 36.
  39. 39.Find the LCM of 8 and 6.
  40. 40.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?

Answer key

  1. 8
  2. 225
  3. 120
  4. 75
  5. 45
  6. 4
  7. 120
  8. 20
  9. 25
  10. 60
  11. 14
  12. 18
  13. 56
  14. 84
  15. 63
  16. 9
  17. 2
  18. 45
  19. 140
  20. 11
  21. 40
  22. 4
  23. 12
  24. 40
  25. 30
  26. 120
  27. 24
  28. 56
  29. 56
  30. 10
  31. 7
  32. 10
  33. 14
  34. 7
  35. 6
  36. 15
  37. 10
  38. 4
  39. 24
  40. 35

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