← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 703 · 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 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  2. 2.Find the LCM of 7 and 8.
  3. 3.Find the LCM of 21 and 15.
  4. 4.Find the LCM of 15 and 20.
  5. 5.Find the LCM of 16 and 20.
  6. 6.Find the HCF of 70 and 90.
  7. 7.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  8. 8.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  9. 9.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  10. 10.Find the HCF of 22 and 55.
  11. 11.Find the LCM of 3, 9 and 5.
  12. 12.Find the LCM of 14, 5 and 15.
  13. 13.Find the HCF of 56 and 40.
  14. 14.Find the LCM of 21 and 24.
  15. 15.Find the LCM of 8, 2 and 9.
  16. 16.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  17. 17.Find the HCF of 54 and 48.
  18. 18.Find the HCF of 36 and 63.
  19. 19.Find the HCF of 9 and 21.
  20. 20.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  21. 21.Find the LCM of 18 and 8.
  22. 22.Find the HCF of 56 and 72.
  23. 23.Find the LCM of 7, 2 and 4.
  24. 24.Find the LCM of 21 and 6.
  25. 25.Find the LCM of 10, 2 and 3.
  26. 26.Find the HCF of 135 and 120.
  27. 27.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  28. 28.Find the LCM of 8, 15 and 6.
  29. 29.Find the HCF of 6 and 4.
  30. 30.Find the LCM of 9 and 4.
  31. 31.Find the LCM of 5, 6 and 9.
  32. 32.Find the HCF of 45 and 27.
  33. 33.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  34. 34.Find the LCM of 9 and 8.
  35. 35.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  36. 36.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  37. 37.Find the LCM of 10 and 35.
  38. 38.Find the LCM of 3 and 5.
  39. 39.Find the LCM of 3 and 8.
  40. 40.Find the HCF of 35 and 49.

Answer key

  1. 27
  2. 56
  3. 105
  4. 60
  5. 80
  6. 10
  7. 12
  8. 21
  9. 42
  10. 11
  11. 45
  12. 210
  13. 8
  14. 168
  15. 72
  16. 81
  17. 6
  18. 9
  19. 3
  20. 72
  21. 72
  22. 8
  23. 28
  24. 42
  25. 30
  26. 15
  27. 8
  28. 120
  29. 2
  30. 36
  31. 90
  32. 9
  33. 48
  34. 72
  35. 45
  36. 20
  37. 70
  38. 15
  39. 24
  40. 7

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