← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 109 · 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.Find the HCF of 63 and 49.
  3. 3.Find the LCM of 8, 2 and 3.
  4. 4.Find the LCM of 45 and 40.
  5. 5.Find the HCF of 16 and 56.
  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.Find the LCM of 6, 10 and 4.
  8. 8.Find the LCM of 15 and 10.
  9. 9.Find the LCM of 14, 4 and 10.
  10. 10.Find the HCF of 75 and 120.
  11. 11.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  13. 13.Find the LCM of 3, 13 and 9.
  14. 14.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  15. 15.Find the LCM of 14, 7 and 2.
  16. 16.Find the LCM of 9, 6 and 2.
  17. 17.Find the LCM of 15 and 24.
  18. 18.Find the LCM of 8 and 18.
  19. 19.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  20. 20.Find the LCM of 4, 9 and 5.
  21. 21.Find the HCF of 77 and 44.
  22. 22.Find the HCF of 81 and 36.
  23. 23.Find the LCM of 11, 4 and 12.
  24. 24.Find the HCF of 30 and 80.
  25. 25.Find the HCF of 14 and 49.
  26. 26.Find the HCF of 18 and 48.
  27. 27.Find the LCM of 16 and 18.
  28. 28.Find the LCM of 36 and 8.
  29. 29.Find the LCM of 13, 12 and 6.
  30. 30.Find the HCF of 33 and 77.
  31. 31.Find the HCF of 35 and 56.
  32. 32.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  33. 33.Find the HCF of 21 and 18.
  34. 34.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  36. 36.Find the LCM of 18 and 8.
  37. 37.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  39. 39.Find the HCF of 12 and 9.
  40. 40.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?

Answer key

  1. 5
  2. 7
  3. 24
  4. 360
  5. 8
  6. 18
  7. 60
  8. 30
  9. 140
  10. 15
  11. 72
  12. 18
  13. 117
  14. 72
  15. 14
  16. 18
  17. 120
  18. 72
  19. 24
  20. 180
  21. 11
  22. 9
  23. 132
  24. 10
  25. 7
  26. 6
  27. 144
  28. 72
  29. 156
  30. 11
  31. 7
  32. 24
  33. 3
  34. 56
  35. 27
  36. 72
  37. 25
  38. 56
  39. 3
  40. 20

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