← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 432 · 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 35 and 25.
  2. 2.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  3. 3.Find the HCF of 40 and 30.
  4. 4.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  5. 5.Find the LCM of 9, 2 and 5.
  6. 6.Find the LCM of 20 and 8.
  7. 7.Find the HCF of 108 and 60.
  8. 8.Find the HCF of 12 and 15.
  9. 9.Find the HCF of 21 and 15.
  10. 10.Find the LCM of 5, 6 and 9.
  11. 11.Find the HCF of 104 and 117.
  12. 12.Find the LCM of 3 and 7.
  13. 13.Find the LCM of 8, 2 and 15.
  14. 14.Find the LCM of 12, 3 and 4.
  15. 15.Find the LCM of 5 and 4.
  16. 16.Find the LCM of 35 and 15.
  17. 17.Find the HCF of 96 and 84.
  18. 18.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  19. 19.Find the HCF of 9 and 6.
  20. 20.Find the LCM of 3, 4 and 2.
  21. 21.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  22. 22.Find the LCM of 15, 10 and 7.
  23. 23.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  24. 24.Find the LCM of 8, 6 and 5.
  25. 25.Find the HCF of 80 and 90.
  26. 26.Find the LCM of 14 and 6.
  27. 27.Find the HCF of 16 and 14.
  28. 28.Find the LCM of 15 and 18.
  29. 29.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  30. 30.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  31. 31.Find the LCM of 9, 4 and 10.
  32. 32.Find the LCM of 42 and 24.
  33. 33.Find the HCF of 18 and 21.
  34. 34.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  35. 35.Find the LCM of 10, 5 and 8.
  36. 36.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  37. 37.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  39. 39.Find the LCM of 28 and 16.
  40. 40.Find the HCF of 36 and 84.

Answer key

  1. 5
  2. 6
  3. 10
  4. 28
  5. 90
  6. 40
  7. 12
  8. 3
  9. 3
  10. 90
  11. 13
  12. 21
  13. 120
  14. 12
  15. 20
  16. 105
  17. 12
  18. 27
  19. 3
  20. 12
  21. 24
  22. 210
  23. 35
  24. 120
  25. 10
  26. 42
  27. 2
  28. 90
  29. 27
  30. 35
  31. 180
  32. 168
  33. 3
  34. 18
  35. 40
  36. 63
  37. 72
  38. 56
  39. 112
  40. 12

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