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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 252 · 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.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  2. 2.Find the LCM of 54 and 30.
  3. 3.Find the LCM of 10, 14 and 6.
  4. 4.Find the HCF of 27 and 18.
  5. 5.Find the HCF of 28 and 35.
  6. 6.Find the LCM of 42 and 18.
  7. 7.Find the LCM of 6, 5 and 9.
  8. 8.Find the HCF of 40 and 15.
  9. 9.Find the HCF of 12 and 15.
  10. 10.Find the LCM of 4 and 18.
  11. 11.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  12. 12.Find the HCF of 36 and 27.
  13. 13.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  14. 14.Find the LCM of 8, 12 and 10.
  15. 15.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  16. 16.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  17. 17.Find the HCF of 84 and 98.
  18. 18.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  19. 19.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  20. 20.Find the LCM of 7, 5 and 10.
  21. 21.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  22. 22.Find the LCM of 3, 13 and 12.
  23. 23.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  24. 24.Find the HCF of 21 and 15.
  25. 25.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  26. 26.Find the HCF of 48 and 18.
  27. 27.Find the HCF of 21 and 49.
  28. 28.Find the LCM of 3, 11 and 7.
  29. 29.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  30. 30.Find the LCM of 7 and 9.
  31. 31.Find the LCM of 4 and 3.
  32. 32.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  33. 33.Find the HCF of 44 and 33.
  34. 34.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  35. 35.Find the HCF of 36 and 60.
  36. 36.Find the LCM of 5, 12 and 9.
  37. 37.Find the LCM of 4, 3 and 15.
  38. 38.Find the LCM of 2, 12 and 8.
  39. 39.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  40. 40.Find the LCM of 2, 14 and 7.

Answer key

  1. 16
  2. 270
  3. 210
  4. 9
  5. 7
  6. 126
  7. 90
  8. 5
  9. 3
  10. 36
  11. 18
  12. 9
  13. 54
  14. 120
  15. 35
  16. 30
  17. 14
  18. 24
  19. 30
  20. 70
  21. 35
  22. 156
  23. 27
  24. 3
  25. 32
  26. 6
  27. 7
  28. 231
  29. 6
  30. 63
  31. 12
  32. 72
  33. 11
  34. 18
  35. 12
  36. 180
  37. 60
  38. 24
  39. 63
  40. 14

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