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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 316 · 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, 4 and 9.
  2. 2.Find the HCF of 105 and 135.
  3. 3.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  4. 4.Find the LCM of 8, 2 and 12.
  5. 5.Find the HCF of 24 and 40.
  6. 6.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  7. 7.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  8. 8.Find the LCM of 14 and 16.
  9. 9.Find the LCM of 7 and 8.
  10. 10.Find the LCM of 12, 6 and 3.
  11. 11.Find the HCF of 99 and 44.
  12. 12.Find the LCM of 5 and 8.
  13. 13.Find the HCF of 98 and 56.
  14. 14.Find the LCM of 7, 14 and 15.
  15. 15.Find the HCF of 28 and 63.
  16. 16.Find the LCM of 12 and 10.
  17. 17.Find the LCM of 12 and 32.
  18. 18.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  19. 19.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  20. 20.Find the LCM of 9 and 12.
  21. 21.Find the HCF of 6 and 4.
  22. 22.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  24. 24.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  25. 25.Find the HCF of 30 and 42.
  26. 26.Find the HCF of 72 and 27.
  27. 27.Find the LCM of 7 and 9.
  28. 28.Find the HCF of 8 and 28.
  29. 29.Find the LCM of 21 and 24.
  30. 30.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  31. 31.Find the LCM of 12 and 21.
  32. 32.Find the LCM of 14, 12 and 2.
  33. 33.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  34. 34.Find the HCF of 32 and 56.
  35. 35.Find the HCF of 10 and 15.
  36. 36.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  37. 37.Find the LCM of 14 and 12.
  38. 38.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  39. 39.Find the LCM of 6 and 5.
  40. 40.Find the HCF of 36 and 28.

Answer key

  1. 36
  2. 15
  3. 28
  4. 24
  5. 8
  6. 45
  7. 8
  8. 112
  9. 56
  10. 12
  11. 11
  12. 40
  13. 14
  14. 210
  15. 7
  16. 60
  17. 96
  18. 36
  19. 18
  20. 36
  21. 2
  22. 56
  23. 8
  24. 35
  25. 6
  26. 9
  27. 63
  28. 4
  29. 168
  30. 36
  31. 84
  32. 84
  33. 35
  34. 8
  35. 5
  36. 21
  37. 84
  38. 12
  39. 30
  40. 4

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