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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 112 · 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 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  2. 2.Find the HCF of 135 and 75.
  3. 3.Find the LCM of 18 and 8.
  4. 4.Find the LCM of 3 and 8.
  5. 5.Find the LCM of 7, 2 and 13.
  6. 6.Find the HCF of 70 and 20.
  7. 7.Find the HCF of 45 and 25.
  8. 8.Find the LCM of 12, 8 and 15.
  9. 9.Find the LCM of 30 and 54.
  10. 10.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  11. 11.Find the HCF of 28 and 20.
  12. 12.Find the HCF of 90 and 40.
  13. 13.Find the HCF of 84 and 98.
  14. 14.Find the LCM of 54 and 48.
  15. 15.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  17. 17.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  18. 18.Find the HCF of 14 and 4.
  19. 19.Find the LCM of 3, 9 and 11.
  20. 20.Find the LCM of 12, 4 and 5.
  21. 21.Find the LCM of 3, 4 and 12.
  22. 22.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  23. 23.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  24. 24.Find the HCF of 63 and 56.
  25. 25.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  26. 26.Find the LCM of 35 and 15.
  27. 27.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  28. 28.Find the LCM of 2, 7 and 13.
  29. 29.Find the LCM of 21 and 6.
  30. 30.Find the HCF of 30 and 42.
  31. 31.Find the HCF of 65 and 91.
  32. 32.Find the LCM of 6, 11 and 9.
  33. 33.Find the LCM of 10, 3 and 12.
  34. 34.Find the LCM of 12, 2 and 3.
  35. 35.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  36. 36.Find the HCF of 6 and 21.
  37. 37.Find the LCM of 16 and 12.
  38. 38.Find the LCM of 10 and 14.
  39. 39.Find the HCF of 55 and 88.
  40. 40.Find the LCM of 2 and 9.

Answer key

  1. 18
  2. 15
  3. 72
  4. 24
  5. 182
  6. 10
  7. 5
  8. 120
  9. 270
  10. 30
  11. 4
  12. 10
  13. 14
  14. 432
  15. 12
  16. 4
  17. 9
  18. 2
  19. 99
  20. 60
  21. 12
  22. 14
  23. 9
  24. 7
  25. 14
  26. 105
  27. 21
  28. 182
  29. 42
  30. 6
  31. 13
  32. 198
  33. 60
  34. 12
  35. 18
  36. 3
  37. 48
  38. 70
  39. 11
  40. 18

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