← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 505 · 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 50 and 90.
  2. 2.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  3. 3.Find the HCF of 16 and 56.
  4. 4.Find the HCF of 25 and 15.
  5. 5.Find the LCM of 4, 2 and 12.
  6. 6.Find the LCM of 20 and 45.
  7. 7.Find the HCF of 126 and 28.
  8. 8.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  9. 9.Find the LCM of 21 and 27.
  10. 10.Find the LCM of 8, 15 and 2.
  11. 11.Find the LCM of 20 and 12.
  12. 12.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  13. 13.Find the HCF of 22 and 99.
  14. 14.Find the HCF of 35 and 63.
  15. 15.Find the LCM of 16 and 18.
  16. 16.Find the LCM of 7, 12 and 4.
  17. 17.Find the LCM of 2, 9 and 10.
  18. 18.Find the HCF of 39 and 104.
  19. 19.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  20. 20.Find the LCM of 16 and 36.
  21. 21.Find the HCF of 9 and 6.
  22. 22.Find the HCF of 55 and 22.
  23. 23.Find the LCM of 10, 2 and 6.
  24. 24.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  25. 25.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  26. 26.Find the LCM of 7, 10 and 5.
  27. 27.Find the LCM of 4, 9 and 2.
  28. 28.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  29. 29.Find the LCM of 28 and 20.
  30. 30.Find the LCM of 3, 6 and 13.
  31. 31.Find the HCF of 20 and 16.
  32. 32.Find the HCF of 12 and 54.
  33. 33.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  34. 34.Find the HCF of 54 and 45.
  35. 35.Find the LCM of 24 and 18.
  36. 36.Find the LCM of 36 and 8.
  37. 37.Find the LCM of 8 and 12.
  38. 38.Find the LCM of 35 and 15.
  39. 39.Find the HCF of 84 and 60.
  40. 40.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?

Answer key

  1. 10
  2. 4
  3. 8
  4. 5
  5. 12
  6. 180
  7. 14
  8. 40
  9. 189
  10. 120
  11. 60
  12. 12
  13. 11
  14. 7
  15. 144
  16. 84
  17. 90
  18. 13
  19. 24
  20. 144
  21. 3
  22. 11
  23. 30
  24. 32
  25. 48
  26. 70
  27. 36
  28. 15
  29. 140
  30. 78
  31. 4
  32. 6
  33. 6
  34. 9
  35. 72
  36. 72
  37. 24
  38. 105
  39. 12
  40. 15

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