← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 369 · 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 24 and 64.
  2. 2.Find the HCF of 8 and 14.
  3. 3.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  4. 4.Find the LCM of 12 and 14.
  5. 5.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  6. 6.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  7. 7.Find the HCF of 14 and 21.
  8. 8.Find the HCF of 49 and 42.
  9. 9.Find the LCM of 12, 3 and 9.
  10. 10.Find the LCM of 18 and 14.
  11. 11.Find the LCM of 3 and 4.
  12. 12.Find the HCF of 91 and 78.
  13. 13.Find the LCM of 8 and 7.
  14. 14.Find the LCM of 36 and 28.
  15. 15.Find the HCF of 75 and 90.
  16. 16.Find the LCM of 6 and 10.
  17. 17.Find the HCF of 88 and 55.
  18. 18.Find the LCM of 10, 5 and 14.
  19. 19.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  20. 20.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  21. 21.Find the HCF of 20 and 30.
  22. 22.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  23. 23.Find the LCM of 4, 5 and 15.
  24. 24.Find the LCM of 6, 9 and 13.
  25. 25.Find the LCM of 4 and 14.
  26. 26.Find the LCM of 15 and 20.
  27. 27.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  28. 28.Find the LCM of 8 and 18.
  29. 29.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  30. 30.Find the LCM of 5, 10 and 9.
  31. 31.Find the HCF of 35 and 45.
  32. 32.Find the LCM of 16 and 14.
  33. 33.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  34. 34.Find the LCM of 30 and 18.
  35. 35.Find the LCM of 15 and 12.
  36. 36.Find the HCF of 39 and 26.
  37. 37.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  38. 38.Find the HCF of 30 and 24.
  39. 39.Find the HCF of 105 and 75.
  40. 40.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?

Answer key

  1. 8
  2. 2
  3. 40
  4. 84
  5. 8
  6. 63
  7. 7
  8. 7
  9. 36
  10. 126
  11. 12
  12. 13
  13. 56
  14. 252
  15. 15
  16. 30
  17. 11
  18. 70
  19. 25
  20. 25
  21. 10
  22. 36
  23. 60
  24. 234
  25. 28
  26. 60
  27. 10
  28. 72
  29. 12
  30. 90
  31. 5
  32. 112
  33. 42
  34. 90
  35. 60
  36. 13
  37. 18
  38. 6
  39. 15
  40. 28

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude