← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 700 · 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 35 and 21.
  2. 2.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  3. 3.Find the LCM of 35 and 15.
  4. 4.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  6. 6.Find the HCF of 54 and 42.
  7. 7.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  8. 8.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 4 and 9.
  11. 11.Find the HCF of 20 and 24.
  12. 12.Find the LCM of 5, 3 and 4.
  13. 13.Find the LCM of 14, 4 and 3.
  14. 14.Find the LCM of 20 and 24.
  15. 15.Find the LCM of 35 and 10.
  16. 16.Find the LCM of 2, 3 and 9.
  17. 17.Find the HCF of 54 and 63.
  18. 18.Find the LCM of 5, 10 and 3.
  19. 19.Find the HCF of 24 and 20.
  20. 20.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  21. 21.Find the LCM of 6 and 8.
  22. 22.Find the LCM of 4 and 7.
  23. 23.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  24. 24.Find the LCM of 3 and 2.
  25. 25.Find the LCM of 15 and 12.
  26. 26.Find the HCF of 20 and 25.
  27. 27.Find the LCM of 3, 13 and 6.
  28. 28.Find the HCF of 15 and 10.
  29. 29.Find the LCM of 9 and 24.
  30. 30.Find the LCM of 2, 7 and 12.
  31. 31.Find the LCM of 14, 2 and 7.
  32. 32.Find the LCM of 2, 8 and 14.
  33. 33.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  34. 34.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  35. 35.Find the LCM of 5, 2 and 13.
  36. 36.Find the HCF of 60 and 105.
  37. 37.Find the HCF of 26 and 91.
  38. 38.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  39. 39.Find the LCM of 7, 6 and 10.
  40. 40.Find the LCM of 2, 11 and 6.

Answer key

  1. 7
  2. 10
  3. 105
  4. 72
  5. 25
  6. 6
  7. 36
  8. 45
  9. 6
  10. 36
  11. 4
  12. 60
  13. 84
  14. 120
  15. 70
  16. 18
  17. 9
  18. 30
  19. 4
  20. 64
  21. 24
  22. 28
  23. 63
  24. 6
  25. 60
  26. 5
  27. 78
  28. 5
  29. 72
  30. 84
  31. 14
  32. 56
  33. 12
  34. 63
  35. 130
  36. 15
  37. 13
  38. 8
  39. 210
  40. 66

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