← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 658 · 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 84 and 60.
  2. 2.Find the HCF of 88 and 33.
  3. 3.Find the HCF of 16 and 20.
  4. 4.Find the LCM of 13, 3 and 9.
  5. 5.Find the LCM of 2 and 5.
  6. 6.Find the LCM of 9 and 12.
  7. 7.Find the LCM of 35 and 30.
  8. 8.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  9. 9.Find the HCF of 108 and 84.
  10. 10.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  11. 11.Find the HCF of 56 and 49.
  12. 12.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  13. 13.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 12, 2 and 6.
  15. 15.Find the LCM of 42 and 12.
  16. 16.Find the HCF of 55 and 33.
  17. 17.Find the LCM of 8 and 12.
  18. 18.Find the LCM of 4 and 5.
  19. 19.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  21. 21.Find the HCF of 25 and 30.
  22. 22.Find the LCM of 4, 6 and 5.
  23. 23.Find the HCF of 45 and 120.
  24. 24.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  25. 25.Find the HCF of 32 and 20.
  26. 26.Find the HCF of 15 and 40.
  27. 27.Find the LCM of 3, 2 and 12.
  28. 28.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  29. 29.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  30. 30.Find the LCM of 5 and 9.
  31. 31.Find the LCM of 8, 10 and 5.
  32. 32.Find the HCF of 21 and 18.
  33. 33.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  34. 34.Find the HCF of 32 and 72.
  35. 35.Find the LCM of 20 and 12.
  36. 36.Find the HCF of 18 and 21.
  37. 37.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  38. 38.Find the HCF of 42 and 48.
  39. 39.Find the LCM of 54 and 24.
  40. 40.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?

Answer key

  1. 12
  2. 11
  3. 4
  4. 117
  5. 10
  6. 36
  7. 210
  8. 25
  9. 12
  10. 8
  11. 7
  12. 35
  13. 72
  14. 12
  15. 84
  16. 11
  17. 24
  18. 20
  19. 40
  20. 81
  21. 5
  22. 60
  23. 15
  24. 4
  25. 4
  26. 5
  27. 12
  28. 49
  29. 27
  30. 45
  31. 40
  32. 3
  33. 6
  34. 8
  35. 60
  36. 3
  37. 21
  38. 6
  39. 216
  40. 10

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