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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 532 · 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 126. One of the numbers is 42. What is the other number?
  2. 2.Find the HCF of 27 and 72.
  3. 3.Find the LCM of 12 and 18.
  4. 4.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  5. 5.Find the HCF of 32 and 72.
  6. 6.Find the HCF of 84 and 48.
  7. 7.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  8. 8.Find the LCM of 7, 8 and 6.
  9. 9.Find the HCF of 18 and 30.
  10. 10.Find the LCM of 4 and 3.
  11. 11.Find the LCM of 12, 3 and 4.
  12. 12.Find the LCM of 32 and 12.
  13. 13.Find the HCF of 12 and 8.
  14. 14.Find the LCM of 15 and 35.
  15. 15.Find the LCM of 2, 8 and 9.
  16. 16.Find the LCM of 15, 3 and 7.
  17. 17.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  18. 18.Find the HCF of 21 and 6.
  19. 19.Find the LCM of 9 and 12.
  20. 20.Find the LCM of 8, 14 and 3.
  21. 21.Find the LCM of 5, 7 and 14.
  22. 22.Find the HCF of 84 and 70.
  23. 23.Find the HCF of 22 and 99.
  24. 24.Find the HCF of 15 and 21.
  25. 25.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  26. 26.Find the LCM of 15 and 24.
  27. 27.Find the LCM of 12, 8 and 10.
  28. 28.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  29. 29.Find the LCM of 8, 10 and 5.
  30. 30.Find the HCF of 40 and 32.
  31. 31.Find the LCM of 54 and 30.
  32. 32.Find the LCM of 3 and 2.
  33. 33.Find the HCF of 98 and 42.
  34. 34.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  35. 35.Find the LCM of 6, 4 and 14.
  36. 36.Find the HCF of 99 and 22.
  37. 37.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  39. 39.Find the HCF of 63 and 35.
  40. 40.Find the HCF of 63 and 81.

Answer key

  1. 18
  2. 9
  3. 36
  4. 40
  5. 8
  6. 12
  7. 56
  8. 168
  9. 6
  10. 12
  11. 12
  12. 96
  13. 4
  14. 105
  15. 72
  16. 105
  17. 54
  18. 3
  19. 36
  20. 168
  21. 70
  22. 14
  23. 11
  24. 3
  25. 72
  26. 120
  27. 120
  28. 27
  29. 40
  30. 8
  31. 270
  32. 6
  33. 14
  34. 36
  35. 84
  36. 11
  37. 32
  38. 32
  39. 7
  40. 9

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