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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 10 · 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 77 and 22.
  2. 2.Find the HCF of 30 and 80.
  3. 3.Find the LCM of 4 and 14.
  4. 4.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  6. 6.Find the LCM of 9, 4 and 12.
  7. 7.Find the HCF of 90 and 20.
  8. 8.Find the LCM of 14 and 18.
  9. 9.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  10. 10.Find the HCF of 45 and 10.
  11. 11.Find the HCF of 27 and 72.
  12. 12.Find the LCM of 2, 4 and 9.
  13. 13.Find the HCF of 50 and 20.
  14. 14.Find the LCM of 4, 14 and 3.
  15. 15.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  16. 16.Find the LCM of 7, 10 and 14.
  17. 17.Find the HCF of 33 and 22.
  18. 18.Find the HCF of 56 and 48.
  19. 19.Find the HCF of 27 and 63.
  20. 20.Find the HCF of 25 and 35.
  21. 21.Find the LCM of 4, 2 and 12.
  22. 22.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  23. 23.Find the LCM of 5 and 4.
  24. 24.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  25. 25.Find the HCF of 40 and 45.
  26. 26.Find the LCM of 15 and 12.
  27. 27.Find the LCM of 20 and 16.
  28. 28.Find the HCF of 65 and 39.
  29. 29.Find the HCF of 32 and 12.
  30. 30.Find the LCM of 2, 6 and 10.
  31. 31.Find the HCF of 28 and 70.
  32. 32.Find the HCF of 35 and 30.
  33. 33.Find the HCF of 63 and 18.
  34. 34.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  35. 35.Find the LCM of 9 and 7.
  36. 36.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  37. 37.Find the HCF of 24 and 42.
  38. 38.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  40. 40.Find the LCM of 12 and 14.

Answer key

  1. 11
  2. 10
  3. 28
  4. 40
  5. 20
  6. 36
  7. 10
  8. 126
  9. 54
  10. 5
  11. 9
  12. 36
  13. 10
  14. 84
  15. 40
  16. 70
  17. 11
  18. 8
  19. 9
  20. 5
  21. 12
  22. 36
  23. 20
  24. 10
  25. 5
  26. 60
  27. 80
  28. 13
  29. 4
  30. 30
  31. 14
  32. 5
  33. 9
  34. 15
  35. 63
  36. 15
  37. 6
  38. 16
  39. 81
  40. 84

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