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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 170 · 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 54 and 48.
  2. 2.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  3. 3.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  4. 4.Find the HCF of 16 and 20.
  5. 5.Find the LCM of 2, 10 and 9.
  6. 6.Find the LCM of 16 and 14.
  7. 7.Find the LCM of 5, 14 and 4.
  8. 8.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  9. 9.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  10. 10.Find the LCM of 8 and 10.
  11. 11.Find the HCF of 63 and 14.
  12. 12.Find the HCF of 24 and 108.
  13. 13.Find the HCF of 10 and 4.
  14. 14.Find the HCF of 18 and 12.
  15. 15.Find the LCM of 6 and 4.
  16. 16.Find the HCF of 45 and 72.
  17. 17.Find the HCF of 28 and 8.
  18. 18.Find the LCM of 10, 4 and 15.
  19. 19.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  20. 20.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  21. 21.Find the HCF of 18 and 63.
  22. 22.Find the LCM of 21 and 27.
  23. 23.Find the HCF of 10 and 16.
  24. 24.Find the HCF of 14 and 49.
  25. 25.Find the LCM of 18 and 48.
  26. 26.Find the LCM of 5 and 6.
  27. 27.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  28. 28.Find the HCF of 99 and 55.
  29. 29.Find the HCF of 120 and 75.
  30. 30.Find the HCF of 8 and 36.
  31. 31.Find the HCF of 27 and 45.
  32. 32.Find the HCF of 24 and 36.
  33. 33.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  34. 34.Find the LCM of 4, 3 and 8.
  35. 35.Find the HCF of 6 and 4.
  36. 36.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  37. 37.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  38. 38.Find the LCM of 24 and 28.
  39. 39.Find the LCM of 11, 15 and 3.
  40. 40.Find the LCM of 35 and 20.

Answer key

  1. 6
  2. 30
  3. 42
  4. 4
  5. 90
  6. 112
  7. 140
  8. 21
  9. 12
  10. 40
  11. 7
  12. 12
  13. 2
  14. 6
  15. 12
  16. 9
  17. 4
  18. 60
  19. 14
  20. 36
  21. 9
  22. 189
  23. 2
  24. 7
  25. 144
  26. 30
  27. 21
  28. 11
  29. 15
  30. 4
  31. 9
  32. 12
  33. 27
  34. 24
  35. 2
  36. 28
  37. 24
  38. 168
  39. 165
  40. 140

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