← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 741 · 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 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  2. 2.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  3. 3.Find the LCM of 42 and 24.
  4. 4.Find the HCF of 16 and 56.
  5. 5.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  6. 6.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  7. 7.Find the LCM of 11, 5 and 10.
  8. 8.Find the LCM of 14, 3 and 2.
  9. 9.Find the LCM of 12 and 15.
  10. 10.Find the HCF of 45 and 30.
  11. 11.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  12. 12.Find the LCM of 35 and 15.
  13. 13.Find the LCM of 5, 8 and 10.
  14. 14.Find the LCM of 9, 12 and 5.
  15. 15.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  16. 16.Find the HCF of 81 and 63.
  17. 17.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  18. 18.Find the HCF of 24 and 60.
  19. 19.Find the HCF of 60 and 36.
  20. 20.Find the LCM of 12 and 20.
  21. 21.Find the LCM of 4 and 10.
  22. 22.Find the LCM of 5, 4 and 14.
  23. 23.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  24. 24.Find the HCF of 77 and 55.
  25. 25.Find the LCM of 32 and 36.
  26. 26.Find the HCF of 91 and 52.
  27. 27.Find the LCM of 10, 2 and 14.
  28. 28.Find the LCM of 5, 3 and 8.
  29. 29.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  30. 30.Find the HCF of 126 and 70.
  31. 31.Find the LCM of 6, 14 and 10.
  32. 32.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  33. 33.Find the HCF of 27 and 6.
  34. 34.Find the LCM of 8 and 5.
  35. 35.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  36. 36.Find the LCM of 3, 6 and 11.
  37. 37.Find the HCF of 40 and 15.
  38. 38.Find the HCF of 40 and 25.
  39. 39.Find the LCM of 8, 2 and 5.
  40. 40.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?

Answer key

  1. 27
  2. 42
  3. 168
  4. 8
  5. 35
  6. 27
  7. 110
  8. 42
  9. 60
  10. 15
  11. 36
  12. 105
  13. 40
  14. 180
  15. 15
  16. 9
  17. 21
  18. 12
  19. 12
  20. 60
  21. 20
  22. 140
  23. 36
  24. 11
  25. 288
  26. 13
  27. 70
  28. 120
  29. 32
  30. 14
  31. 210
  32. 8
  33. 3
  34. 40
  35. 21
  36. 66
  37. 5
  38. 5
  39. 40
  40. 14

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