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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 525 · 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 80 and 70.
  2. 2.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  3. 3.Find the LCM of 8, 2 and 9.
  4. 4.Find the LCM of 18 and 15.
  5. 5.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  6. 6.Find the HCF of 35 and 14.
  7. 7.Find the LCM of 9 and 4.
  8. 8.Find the HCF of 30 and 54.
  9. 9.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  10. 10.Find the HCF of 10 and 35.
  11. 11.Find the HCF of 10 and 16.
  12. 12.Find the LCM of 5 and 4.
  13. 13.Find the LCM of 10 and 14.
  14. 14.Find the LCM of 4 and 9.
  15. 15.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  16. 16.Find the HCF of 70 and 50.
  17. 17.Find the LCM of 12 and 30.
  18. 18.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  19. 19.Find the LCM of 8 and 3.
  20. 20.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  21. 21.Find the LCM of 32 and 12.
  22. 22.Find the LCM of 13, 4 and 3.
  23. 23.Find the HCF of 22 and 99.
  24. 24.Find the LCM of 15, 10 and 9.
  25. 25.Find the LCM of 3, 9 and 4.
  26. 26.Find the LCM of 9 and 15.
  27. 27.Find the LCM of 4, 3 and 15.
  28. 28.Find the LCM of 35 and 40.
  29. 29.Find the HCF of 98 and 112.
  30. 30.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  31. 31.Find the LCM of 6, 3 and 8.
  32. 32.Find the HCF of 27 and 18.
  33. 33.Find the HCF of 21 and 28.
  34. 34.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  35. 35.Find the HCF of 99 and 44.
  36. 36.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  37. 37.Find the LCM of 25 and 45.
  38. 38.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  39. 39.Find the LCM of 36 and 30.
  40. 40.Find the LCM of 2, 11 and 9.

Answer key

  1. 10
  2. 14
  3. 72
  4. 90
  5. 9
  6. 7
  7. 36
  8. 6
  9. 24
  10. 5
  11. 2
  12. 20
  13. 70
  14. 36
  15. 45
  16. 10
  17. 60
  18. 18
  19. 24
  20. 40
  21. 96
  22. 156
  23. 11
  24. 90
  25. 36
  26. 45
  27. 60
  28. 280
  29. 14
  30. 54
  31. 24
  32. 9
  33. 7
  34. 56
  35. 11
  36. 54
  37. 225
  38. 45
  39. 180
  40. 198

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