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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 411 · 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 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  2. 2.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  3. 3.Find the HCF of 35 and 40.
  4. 4.Find the LCM of 15 and 35.
  5. 5.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  6. 6.Find the HCF of 48 and 84.
  7. 7.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  8. 8.Find the LCM of 14 and 12.
  9. 9.Find the HCF of 28 and 8.
  10. 10.Find the HCF of 30 and 135.
  11. 11.Find the HCF of 40 and 24.
  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 14, 15 and 10.
  14. 14.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  15. 15.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  17. 17.Find the LCM of 12 and 9.
  18. 18.Find the HCF of 135 and 60.
  19. 19.Find the HCF of 54 and 63.
  20. 20.Find the LCM of 5, 7 and 10.
  21. 21.Find the LCM of 6, 7 and 14.
  22. 22.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  23. 23.Find the HCF of 9 and 6.
  24. 24.Find the HCF of 21 and 18.
  25. 25.Find the LCM of 8, 14 and 3.
  26. 26.Find the LCM of 18 and 16.
  27. 27.Find the LCM of 15, 12 and 8.
  28. 28.Find the HCF of 52 and 65.
  29. 29.Find the LCM of 2, 5 and 10.
  30. 30.Find the LCM of 7, 6 and 9.
  31. 31.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  32. 32.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  33. 33.Find the HCF of 18 and 10.
  34. 34.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 18 and 8.
  36. 36.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  37. 37.Find the LCM of 27 and 6.
  38. 38.Find the LCM of 2 and 3.
  39. 39.Find the LCM of 10, 5 and 4.
  40. 40.Find the LCM of 28 and 12.

Answer key

  1. 18
  2. 56
  3. 5
  4. 105
  5. 15
  6. 12
  7. 12
  8. 84
  9. 4
  10. 15
  11. 8
  12. 30
  13. 210
  14. 36
  15. 12
  16. 27
  17. 36
  18. 15
  19. 9
  20. 70
  21. 42
  22. 6
  23. 3
  24. 3
  25. 168
  26. 144
  27. 120
  28. 13
  29. 10
  30. 126
  31. 35
  32. 16
  33. 2
  34. 14
  35. 72
  36. 9
  37. 54
  38. 6
  39. 20
  40. 84

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