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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 46 · 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 LCM of 6 and 9.
  2. 2.Find the HCF of 99 and 55.
  3. 3.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  4. 4.Find the LCM of 32 and 12.
  5. 5.Find the LCM of 7 and 3.
  6. 6.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  7. 7.Find the LCM of 6, 11 and 2.
  8. 8.Find the LCM of 2 and 3.
  9. 9.Find the LCM of 5, 4 and 3.
  10. 10.Find the LCM of 9 and 4.
  11. 11.Find the LCM of 15 and 35.
  12. 12.Find the LCM of 2, 4 and 15.
  13. 13.Find the HCF of 12 and 8.
  14. 14.Find the HCF of 55 and 77.
  15. 15.Find the LCM of 4 and 3.
  16. 16.Find the HCF of 28 and 8.
  17. 17.Find the LCM of 8 and 12.
  18. 18.Find the LCM of 3 and 5.
  19. 19.Find the HCF of 27 and 63.
  20. 20.Find the HCF of 20 and 30.
  21. 21.Find the HCF of 28 and 32.
  22. 22.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  23. 23.Find the HCF of 28 and 98.
  24. 24.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  25. 25.Find the HCF of 54 and 30.
  26. 26.Find the HCF of 99 and 88.
  27. 27.Find the HCF of 70 and 20.
  28. 28.Find the LCM of 54 and 12.
  29. 29.Find the LCM of 6, 8 and 3.
  30. 30.Find the HCF of 27 and 21.
  31. 31.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  32. 32.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  33. 33.Find the HCF of 30 and 50.
  34. 34.Find the LCM of 3, 15 and 7.
  35. 35.Find the HCF of 8 and 12.
  36. 36.Find the LCM of 6, 4 and 2.
  37. 37.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  38. 38.Find the HCF of 45 and 120.
  39. 39.Find the LCM of 14, 12 and 3.
  40. 40.Find the LCM of 11, 2 and 5.

Answer key

  1. 18
  2. 11
  3. 25
  4. 96
  5. 21
  6. 32
  7. 66
  8. 6
  9. 60
  10. 36
  11. 105
  12. 60
  13. 4
  14. 11
  15. 12
  16. 4
  17. 24
  18. 15
  19. 9
  20. 10
  21. 4
  22. 63
  23. 14
  24. 27
  25. 6
  26. 11
  27. 10
  28. 108
  29. 24
  30. 3
  31. 35
  32. 16
  33. 10
  34. 105
  35. 4
  36. 12
  37. 42
  38. 15
  39. 84
  40. 110

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