← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 929 · 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 48 and 30.
  2. 2.Find the LCM of 16 and 14.
  3. 3.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  4. 4.Find the LCM of 4, 6 and 15.
  5. 5.Find the LCM of 16 and 28.
  6. 6.Find the LCM of 35 and 15.
  7. 7.Find the LCM of 4, 15 and 2.
  8. 8.Find the LCM of 5, 7 and 2.
  9. 9.Find the HCF of 45 and 30.
  10. 10.Find the LCM of 12 and 10.
  11. 11.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  12. 12.Find the HCF of 12 and 20.
  13. 13.Find the HCF of 84 and 36.
  14. 14.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  15. 15.Find the LCM of 8 and 3.
  16. 16.Find the HCF of 26 and 117.
  17. 17.Find the LCM of 9 and 21.
  18. 18.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  19. 19.Find the LCM of 9 and 15.
  20. 20.Find the LCM of 2 and 7.
  21. 21.Find the LCM of 10 and 15.
  22. 22.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  23. 23.Find the LCM of 4, 6 and 8.
  24. 24.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  25. 25.Find the HCF of 120 and 105.
  26. 26.Find the LCM of 9 and 2.
  27. 27.Find the LCM of 15, 12 and 5.
  28. 28.Find the HCF of 70 and 98.
  29. 29.Find the LCM of 15, 9 and 2.
  30. 30.Find the LCM of 3 and 5.
  31. 31.Find the LCM of 14, 2 and 9.
  32. 32.Find the LCM of 9 and 24.
  33. 33.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  34. 34.Find the HCF of 63 and 14.
  35. 35.Find the LCM of 2, 8 and 7.
  36. 36.Find the LCM of 6, 4 and 8.
  37. 37.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  38. 38.Find the LCM of 6, 2 and 12.
  39. 39.Find the LCM of 11, 8 and 4.
  40. 40.Find the HCF of 28 and 36.

Answer key

  1. 6
  2. 112
  3. 12
  4. 60
  5. 112
  6. 105
  7. 60
  8. 70
  9. 15
  10. 60
  11. 48
  12. 4
  13. 12
  14. 25
  15. 24
  16. 13
  17. 63
  18. 16
  19. 45
  20. 14
  21. 30
  22. 8
  23. 24
  24. 24
  25. 15
  26. 18
  27. 60
  28. 14
  29. 90
  30. 15
  31. 126
  32. 72
  33. 24
  34. 7
  35. 56
  36. 24
  37. 24
  38. 12
  39. 88
  40. 4

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