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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 701 · 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 21 and 6.
  2. 2.Find the LCM of 9, 15 and 3.
  3. 3.Find the LCM of 30 and 24.
  4. 4.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  5. 5.Find the LCM of 7, 6 and 10.
  6. 6.Find the LCM of 14, 4 and 10.
  7. 7.Find the LCM of 15, 5 and 9.
  8. 8.Find the LCM of 2, 12 and 4.
  9. 9.Find the LCM of 8, 2 and 11.
  10. 10.Find the HCF of 27 and 36.
  11. 11.Find the HCF of 27 and 72.
  12. 12.Find the LCM of 24 and 9.
  13. 13.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  14. 14.Find the LCM of 30 and 25.
  15. 15.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  16. 16.Find the LCM of 48 and 54.
  17. 17.Find the LCM of 25 and 40.
  18. 18.Find the HCF of 24 and 36.
  19. 19.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  20. 20.Find the LCM of 15 and 35.
  21. 21.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  22. 22.Find the LCM of 2, 7 and 13.
  23. 23.Find the HCF of 36 and 96.
  24. 24.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  25. 25.Find the LCM of 3, 4 and 11.
  26. 26.Find the LCM of 10, 2 and 13.
  27. 27.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  28. 28.Find the HCF of 10 and 25.
  29. 29.Find the LCM of 4, 5 and 10.
  30. 30.Find the LCM of 3 and 5.
  31. 31.Find the LCM of 6, 3 and 8.
  32. 32.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  33. 33.Find the LCM of 12, 3 and 7.
  34. 34.Find the LCM of 13, 6 and 4.
  35. 35.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  36. 36.Find the LCM of 7, 4 and 12.
  37. 37.Find the LCM of 7 and 2.
  38. 38.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  39. 39.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  40. 40.Find the HCF of 35 and 30.

Answer key

  1. 3
  2. 45
  3. 120
  4. 40
  5. 210
  6. 140
  7. 45
  8. 12
  9. 88
  10. 9
  11. 9
  12. 72
  13. 10
  14. 150
  15. 10
  16. 432
  17. 200
  18. 12
  19. 64
  20. 105
  21. 6
  22. 182
  23. 12
  24. 12
  25. 132
  26. 130
  27. 72
  28. 5
  29. 20
  30. 15
  31. 24
  32. 14
  33. 84
  34. 156
  35. 15
  36. 84
  37. 14
  38. 45
  39. 16
  40. 5

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