← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 60 · 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 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  2. 2.Find the LCM of 2, 7 and 10.
  3. 3.Find the LCM of 4, 5 and 15.
  4. 4.Find the HCF of 72 and 27.
  5. 5.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  6. 6.Find the HCF of 84 and 60.
  7. 7.Find the HCF of 18 and 81.
  8. 8.Find the LCM of 18 and 15.
  9. 9.Find the HCF of 54 and 63.
  10. 10.Find the HCF of 35 and 10.
  11. 11.Find the HCF of 25 and 40.
  12. 12.Find the HCF of 20 and 35.
  13. 13.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  14. 14.Find the LCM of 6, 12 and 3.
  15. 15.Find the HCF of 32 and 72.
  16. 16.Find the LCM of 8 and 28.
  17. 17.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  18. 18.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  19. 19.Find the HCF of 14 and 12.
  20. 20.Find the LCM of 9 and 21.
  21. 21.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  22. 22.Find the LCM of 36 and 20.
  23. 23.Find the LCM of 7, 14 and 11.
  24. 24.Find the LCM of 25 and 10.
  25. 25.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  26. 26.Find the LCM of 5, 10 and 11.
  27. 27.Find the LCM of 18 and 42.
  28. 28.Find the HCF of 26 and 117.
  29. 29.Find the LCM of 6 and 16.
  30. 30.Find the LCM of 5 and 7.
  31. 31.Find the LCM of 21 and 15.
  32. 32.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  33. 33.Find the HCF of 117 and 91.
  34. 34.Find the HCF of 81 and 18.
  35. 35.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  36. 36.Find the LCM of 8, 9 and 4.
  37. 37.Find the LCM of 7 and 6.
  38. 38.Find the HCF of 16 and 72.
  39. 39.Find the LCM of 11, 5 and 3.
  40. 40.Find the HCF of 14 and 35.

Answer key

  1. 15
  2. 70
  3. 60
  4. 9
  5. 18
  6. 12
  7. 9
  8. 90
  9. 9
  10. 5
  11. 5
  12. 5
  13. 36
  14. 12
  15. 8
  16. 56
  17. 81
  18. 36
  19. 2
  20. 63
  21. 20
  22. 180
  23. 154
  24. 50
  25. 36
  26. 110
  27. 126
  28. 13
  29. 48
  30. 35
  31. 105
  32. 45
  33. 13
  34. 9
  35. 18
  36. 72
  37. 42
  38. 8
  39. 165
  40. 7

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