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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 144 · 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 70 and 126.
  2. 2.Find the HCF of 56 and 42.
  3. 3.Find the LCM of 9 and 8.
  4. 4.Find the LCM of 13, 8 and 2.
  5. 5.Find the HCF of 28 and 24.
  6. 6.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  7. 7.Find the LCM of 8, 11 and 4.
  8. 8.Find the LCM of 24 and 28.
  9. 9.Find the HCF of 91 and 39.
  10. 10.Find the LCM of 4 and 14.
  11. 11.Find the LCM of 10, 9 and 2.
  12. 12.Find the LCM of 10, 12 and 15.
  13. 13.Find the HCF of 56 and 48.
  14. 14.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  15. 15.Find the HCF of 21 and 24.
  16. 16.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  17. 17.Find the LCM of 7 and 9.
  18. 18.Find the HCF of 32 and 24.
  19. 19.Find the HCF of 22 and 33.
  20. 20.Find the LCM of 12 and 9.
  21. 21.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  22. 22.Find the LCM of 2, 10 and 3.
  23. 23.Find the LCM of 3, 14 and 15.
  24. 24.Find the LCM of 7, 5 and 4.
  25. 25.Find the LCM of 3, 13 and 12.
  26. 26.Find the LCM of 12 and 14.
  27. 27.Find the HCF of 55 and 33.
  28. 28.Find the LCM of 10 and 18.
  29. 29.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 3, 14 and 6.
  31. 31.Find the LCM of 15 and 10.
  32. 32.Find the LCM of 9, 2 and 3.
  33. 33.Find the LCM of 2, 9 and 12.
  34. 34.Find the LCM of 2, 10 and 8.
  35. 35.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  36. 36.Find the LCM of 15, 7 and 10.
  37. 37.Find the LCM of 11, 3 and 15.
  38. 38.Find the LCM of 36 and 32.
  39. 39.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  40. 40.Find the HCF of 15 and 6.

Answer key

  1. 14
  2. 14
  3. 72
  4. 104
  5. 4
  6. 15
  7. 88
  8. 168
  9. 13
  10. 28
  11. 90
  12. 60
  13. 8
  14. 10
  15. 3
  16. 10
  17. 63
  18. 8
  19. 11
  20. 36
  21. 10
  22. 30
  23. 210
  24. 140
  25. 156
  26. 84
  27. 11
  28. 90
  29. 16
  30. 42
  31. 30
  32. 18
  33. 36
  34. 40
  35. 18
  36. 210
  37. 165
  38. 288
  39. 30
  40. 3

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