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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 149 · 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 35 and 63.
  2. 2.Find the HCF of 108 and 48.
  3. 3.Find the HCF of 24 and 36.
  4. 4.Find the LCM of 15, 4 and 9.
  5. 5.Find the LCM of 7, 3 and 9.
  6. 6.Find the HCF of 30 and 70.
  7. 7.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  8. 8.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  9. 9.Find the LCM of 3, 13 and 5.
  10. 10.Find the LCM of 7 and 8.
  11. 11.Find the HCF of 10 and 15.
  12. 12.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  13. 13.Find the LCM of 4 and 9.
  14. 14.Find the LCM of 42 and 54.
  15. 15.Find the HCF of 24 and 27.
  16. 16.Find the LCM of 20 and 15.
  17. 17.Find the LCM of 8 and 6.
  18. 18.Find the HCF of 126 and 112.
  19. 19.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  20. 20.Find the LCM of 42 and 24.
  21. 21.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  22. 22.Find the HCF of 48 and 56.
  23. 23.Find the LCM of 5, 10 and 15.
  24. 24.Find the HCF of 21 and 56.
  25. 25.Find the HCF of 56 and 98.
  26. 26.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  27. 27.Find the HCF of 36 and 24.
  28. 28.Find the LCM of 6 and 9.
  29. 29.Find the LCM of 25 and 40.
  30. 30.Find the LCM of 4 and 7.
  31. 31.Find the LCM of 5 and 6.
  32. 32.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  33. 33.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  34. 34.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  35. 35.Find the HCF of 84 and 70.
  36. 36.Find the HCF of 26 and 91.
  37. 37.Find the LCM of 6, 10 and 2.
  38. 38.Find the LCM of 3, 14 and 8.
  39. 39.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  40. 40.Find the HCF of 63 and 14.

Answer key

  1. 7
  2. 12
  3. 12
  4. 180
  5. 63
  6. 10
  7. 16
  8. 63
  9. 195
  10. 56
  11. 5
  12. 30
  13. 36
  14. 378
  15. 3
  16. 60
  17. 24
  18. 14
  19. 72
  20. 168
  21. 12
  22. 8
  23. 30
  24. 7
  25. 14
  26. 18
  27. 12
  28. 18
  29. 200
  30. 28
  31. 30
  32. 27
  33. 28
  34. 18
  35. 14
  36. 13
  37. 30
  38. 168
  39. 18
  40. 7

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