← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 511 · 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 99 and 55.
  2. 2.Find the LCM of 4, 2 and 12.
  3. 3.Find the LCM of 12, 10 and 4.
  4. 4.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  5. 5.Find the HCF of 20 and 28.
  6. 6.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  7. 7.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  8. 8.Find the HCF of 45 and 27.
  9. 9.Find the HCF of 35 and 15.
  10. 10.Find the HCF of 36 and 27.
  11. 11.Find the LCM of 2 and 9.
  12. 12.Find the LCM of 2, 10 and 12.
  13. 13.Find the HCF of 56 and 126.
  14. 14.Find the LCM of 8, 14 and 4.
  15. 15.Find the LCM of 3 and 7.
  16. 16.Find the LCM of 9, 11 and 2.
  17. 17.Find the HCF of 42 and 54.
  18. 18.Find the HCF of 63 and 56.
  19. 19.Find the LCM of 8, 14 and 6.
  20. 20.Find the LCM of 28 and 20.
  21. 21.Find the HCF of 26 and 65.
  22. 22.Find the LCM of 20 and 35.
  23. 23.Find the HCF of 99 and 44.
  24. 24.Find the LCM of 18 and 24.
  25. 25.Find the LCM of 12 and 15.
  26. 26.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  27. 27.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  28. 28.Find the HCF of 10 and 35.
  29. 29.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  30. 30.Find the LCM of 4 and 3.
  31. 31.Find the LCM of 5, 2 and 6.
  32. 32.Find the HCF of 45 and 36.
  33. 33.Find the LCM of 6, 9 and 4.
  34. 34.Find the LCM of 16 and 18.
  35. 35.Find the LCM of 5, 7 and 15.
  36. 36.Find the LCM of 5, 10 and 13.
  37. 37.Find the HCF of 8 and 14.
  38. 38.Find the HCF of 20 and 15.
  39. 39.Find the LCM of 6 and 10.
  40. 40.Find the LCM of 7 and 5.

Answer key

  1. 11
  2. 12
  3. 60
  4. 36
  5. 4
  6. 18
  7. 72
  8. 9
  9. 5
  10. 9
  11. 18
  12. 60
  13. 14
  14. 56
  15. 21
  16. 198
  17. 6
  18. 7
  19. 168
  20. 140
  21. 13
  22. 140
  23. 11
  24. 72
  25. 60
  26. 18
  27. 28
  28. 5
  29. 24
  30. 12
  31. 30
  32. 9
  33. 36
  34. 144
  35. 105
  36. 130
  37. 2
  38. 5
  39. 30
  40. 35

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