← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 968 · 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 LCM of 4, 6 and 3.
  2. 2.Find the HCF of 26 and 91.
  3. 3.Find the LCM of 14, 12 and 4.
  4. 4.Find the LCM of 36 and 42.
  5. 5.Find the LCM of 12, 2 and 15.
  6. 6.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  7. 7.Find the LCM of 18 and 12.
  8. 8.Find the HCF of 28 and 42.
  9. 9.Find the LCM of 21 and 15.
  10. 10.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  11. 11.Find the LCM of 6 and 21.
  12. 12.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  13. 13.Find the HCF of 50 and 20.
  14. 14.Find the HCF of 24 and 15.
  15. 15.Find the HCF of 120 and 45.
  16. 16.Find the LCM of 14 and 6.
  17. 17.Find the HCF of 64 and 72.
  18. 18.Find the HCF of 35 and 28.
  19. 19.Find the HCF of 63 and 72.
  20. 20.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  21. 21.Find the LCM of 3 and 5.
  22. 22.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  24. 24.Find the LCM of 2 and 9.
  25. 25.Find the HCF of 50 and 90.
  26. 26.Find the LCM of 8 and 28.
  27. 27.Find the LCM of 2, 6 and 8.
  28. 28.Find the LCM of 9, 11 and 6.
  29. 29.Find the HCF of 15 and 10.
  30. 30.Find the LCM of 3, 15 and 13.
  31. 31.Find the LCM of 5, 10 and 8.
  32. 32.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  33. 33.Find the LCM of 54 and 12.
  34. 34.Find the LCM of 28 and 8.
  35. 35.Find the LCM of 14 and 10.
  36. 36.Find the HCF of 96 and 84.
  37. 37.Find the HCF of 15 and 21.
  38. 38.Find the HCF of 16 and 14.
  39. 39.Find the HCF of 10 and 6.
  40. 40.Find the HCF of 120 and 75.

Answer key

  1. 12
  2. 13
  3. 84
  4. 252
  5. 60
  6. 12
  7. 36
  8. 14
  9. 105
  10. 27
  11. 42
  12. 25
  13. 10
  14. 3
  15. 15
  16. 42
  17. 8
  18. 7
  19. 9
  20. 10
  21. 15
  22. 49
  23. 63
  24. 18
  25. 10
  26. 56
  27. 24
  28. 198
  29. 5
  30. 195
  31. 40
  32. 81
  33. 108
  34. 56
  35. 70
  36. 12
  37. 3
  38. 2
  39. 2
  40. 15

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