← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 681 · 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 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  3. 3.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  4. 4.Find the LCM of 12, 13 and 4.
  5. 5.Find the LCM of 6, 7 and 2.
  6. 6.Find the LCM of 2, 15 and 4.
  7. 7.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  8. 8.Find the LCM of 12 and 20.
  9. 9.Find the LCM of 9 and 6.
  10. 10.Find the HCF of 21 and 12.
  11. 11.Find the LCM of 2, 14 and 5.
  12. 12.Find the HCF of 80 and 30.
  13. 13.Find the LCM of 21 and 15.
  14. 14.Find the LCM of 20 and 24.
  15. 15.Find the HCF of 30 and 25.
  16. 16.Find the LCM of 10, 4 and 14.
  17. 17.Find the HCF of 10 and 8.
  18. 18.Find the HCF of 4 and 18.
  19. 19.Find the LCM of 7 and 4.
  20. 20.Find the LCM of 9, 15 and 4.
  21. 21.Find the LCM of 20 and 32.
  22. 22.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  23. 23.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  24. 24.Find the LCM of 6, 4 and 15.
  25. 25.Find the HCF of 55 and 99.
  26. 26.Find the HCF of 22 and 99.
  27. 27.Find the HCF of 35 and 63.
  28. 28.Find the HCF of 25 and 30.
  29. 29.Find the HCF of 28 and 35.
  30. 30.Find the HCF of 35 and 30.
  31. 31.Find the LCM of 5, 9 and 6.
  32. 32.Find the LCM of 2 and 7.
  33. 33.Find the HCF of 72 and 45.
  34. 34.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  35. 35.Find the HCF of 52 and 39.
  36. 36.Find the LCM of 4, 6 and 8.
  37. 37.Find the HCF of 52 and 91.
  38. 38.Find the LCM of 3 and 2.
  39. 39.Find the HCF of 36 and 27.
  40. 40.Find the LCM of 9, 6 and 13.

Answer key

  1. 21
  2. 8
  3. 35
  4. 156
  5. 42
  6. 60
  7. 25
  8. 60
  9. 18
  10. 3
  11. 70
  12. 10
  13. 105
  14. 120
  15. 5
  16. 140
  17. 2
  18. 2
  19. 28
  20. 180
  21. 160
  22. 20
  23. 35
  24. 60
  25. 11
  26. 11
  27. 7
  28. 5
  29. 7
  30. 5
  31. 90
  32. 14
  33. 9
  34. 56
  35. 13
  36. 24
  37. 13
  38. 6
  39. 9
  40. 234

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