← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 934 · 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 15 and 12.
  2. 2.Find the LCM of 10, 7 and 5.
  3. 3.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  4. 4.Find the HCF of 55 and 66.
  5. 5.Find the LCM of 6, 10 and 15.
  6. 6.Find the HCF of 10 and 35.
  7. 7.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  8. 8.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  9. 9.Find the LCM of 5, 14 and 10.
  10. 10.Find the HCF of 45 and 36.
  11. 11.Find the LCM of 30 and 48.
  12. 12.Find the HCF of 30 and 24.
  13. 13.Find the HCF of 52 and 91.
  14. 14.Find the HCF of 32 and 24.
  15. 15.Find the LCM of 28 and 20.
  16. 16.Find the HCF of 81 and 18.
  17. 17.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  18. 18.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  20. 20.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  21. 21.Find the HCF of 24 and 84.
  22. 22.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  23. 23.Find the HCF of 27 and 24.
  24. 24.Find the HCF of 56 and 63.
  25. 25.Find the LCM of 20 and 25.
  26. 26.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  27. 27.Find the HCF of 36 and 60.
  28. 28.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  29. 29.Find the HCF of 20 and 25.
  30. 30.Find the LCM of 2, 14 and 13.
  31. 31.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  32. 32.Find the LCM of 45 and 20.
  33. 33.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  34. 34.Find the LCM of 6, 4 and 14.
  35. 35.Find the LCM of 24 and 18.
  36. 36.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  37. 37.Find the LCM of 45 and 25.
  38. 38.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  39. 39.Find the LCM of 6, 5 and 2.
  40. 40.Find the LCM of 7 and 2.

Answer key

  1. 3
  2. 70
  3. 56
  4. 11
  5. 30
  6. 5
  7. 56
  8. 42
  9. 70
  10. 9
  11. 240
  12. 6
  13. 13
  14. 8
  15. 140
  16. 9
  17. 18
  18. 15
  19. 18
  20. 20
  21. 12
  22. 8
  23. 3
  24. 7
  25. 100
  26. 30
  27. 12
  28. 36
  29. 5
  30. 182
  31. 32
  32. 180
  33. 28
  34. 84
  35. 72
  36. 35
  37. 225
  38. 28
  39. 30
  40. 14

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