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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 158 · 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 18 and 63.
  2. 2.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  3. 3.Find the HCF of 32 and 36.
  4. 4.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  5. 5.Find the LCM of 2, 3 and 9.
  6. 6.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  7. 7.Find the LCM of 16 and 20.
  8. 8.Find the HCF of 6 and 4.
  9. 9.Find the HCF of 48 and 30.
  10. 10.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  11. 11.Find the LCM of 7, 12 and 4.
  12. 12.Find the HCF of 60 and 96.
  13. 13.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  14. 14.Find the HCF of 54 and 30.
  15. 15.Find the LCM of 10, 2 and 3.
  16. 16.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  18. 18.Find the LCM of 30 and 35.
  19. 19.Find the HCF of 20 and 24.
  20. 20.Find the LCM of 15, 5 and 2.
  21. 21.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  22. 22.Find the LCM of 4, 12 and 11.
  23. 23.Find the LCM of 10 and 6.
  24. 24.Find the LCM of 3, 4 and 2.
  25. 25.Find the LCM of 30 and 24.
  26. 26.Find the LCM of 4 and 10.
  27. 27.Find the LCM of 35 and 45.
  28. 28.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  29. 29.Find the LCM of 13, 2 and 7.
  30. 30.Find the HCF of 15 and 35.
  31. 31.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  32. 32.Find the HCF of 40 and 50.
  33. 33.Find the HCF of 4 and 6.
  34. 34.Find the HCF of 20 and 12.
  35. 35.Find the LCM of 21 and 12.
  36. 36.Find the HCF of 27 and 12.
  37. 37.Find the LCM of 2, 9 and 3.
  38. 38.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  39. 39.Find the HCF of 72 and 63.
  40. 40.Find the HCF of 117 and 52.

Answer key

  1. 9
  2. 12
  3. 4
  4. 6
  5. 18
  6. 28
  7. 80
  8. 2
  9. 6
  10. 49
  11. 84
  12. 12
  13. 14
  14. 6
  15. 30
  16. 20
  17. 14
  18. 210
  19. 4
  20. 30
  21. 21
  22. 132
  23. 30
  24. 12
  25. 120
  26. 20
  27. 315
  28. 45
  29. 182
  30. 5
  31. 72
  32. 10
  33. 2
  34. 4
  35. 84
  36. 3
  37. 18
  38. 6
  39. 9
  40. 13

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