← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 926 · 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 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  2. 2.Find the LCM of 14, 11 and 7.
  3. 3.Find the LCM of 3, 2 and 9.
  4. 4.Find the HCF of 14 and 49.
  5. 5.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  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 18 and 42.
  8. 8.Find the LCM of 9 and 24.
  9. 9.Find the HCF of 36 and 48.
  10. 10.Find the HCF of 96 and 60.
  11. 11.Find the LCM of 15, 14 and 5.
  12. 12.Find the HCF of 45 and 35.
  13. 13.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  14. 14.Find the HCF of 36 and 8.
  15. 15.Find the LCM of 9 and 21.
  16. 16.Find the HCF of 54 and 63.
  17. 17.Find the LCM of 2, 6 and 3.
  18. 18.Find the LCM of 3, 2 and 6.
  19. 19.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  20. 20.Find the LCM of 6 and 21.
  21. 21.Find the LCM of 8, 3 and 15.
  22. 22.Find the HCF of 60 and 36.
  23. 23.Find the LCM of 10, 7 and 6.
  24. 24.Find the LCM of 27 and 24.
  25. 25.Find the HCF of 70 and 98.
  26. 26.Find the HCF of 40 and 45.
  27. 27.Find the LCM of 9 and 6.
  28. 28.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  29. 29.Find the HCF of 4 and 10.
  30. 30.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  31. 31.Find the LCM of 8 and 14.
  32. 32.Find the LCM of 8 and 18.
  33. 33.Find the HCF of 50 and 90.
  34. 34.Find the HCF of 126 and 28.
  35. 35.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  37. 37.Find the HCF of 84 and 98.
  38. 38.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  39. 39.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  40. 40.Find the LCM of 7, 8 and 2.

Answer key

  1. 18
  2. 154
  3. 18
  4. 7
  5. 45
  6. 18
  7. 126
  8. 72
  9. 12
  10. 12
  11. 210
  12. 5
  13. 40
  14. 4
  15. 63
  16. 9
  17. 6
  18. 6
  19. 21
  20. 42
  21. 120
  22. 12
  23. 210
  24. 216
  25. 14
  26. 5
  27. 18
  28. 14
  29. 2
  30. 49
  31. 56
  32. 72
  33. 10
  34. 14
  35. 15
  36. 54
  37. 14
  38. 18
  39. 56
  40. 56

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