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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 397 · 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 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  2. 2.Find the HCF of 65 and 26.
  3. 3.Find the HCF of 16 and 20.
  4. 4.Find the LCM of 4, 7 and 2.
  5. 5.Find the HCF of 50 and 80.
  6. 6.Find the HCF of 126 and 98.
  7. 7.Find the LCM of 6, 7 and 4.
  8. 8.Find the HCF of 10 and 45.
  9. 9.Find the HCF of 20 and 25.
  10. 10.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  12. 12.Find the HCF of 21 and 9.
  13. 13.Find the LCM of 12, 13 and 2.
  14. 14.Find the LCM of 8, 15 and 5.
  15. 15.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  16. 16.Find the LCM of 10 and 8.
  17. 17.Find the LCM of 16 and 18.
  18. 18.Find the HCF of 28 and 21.
  19. 19.Find the LCM of 15, 3 and 9.
  20. 20.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  21. 21.Find the HCF of 16 and 12.
  22. 22.Find the LCM of 6, 2 and 10.
  23. 23.Find the LCM of 5, 2 and 8.
  24. 24.Find the LCM of 7, 14 and 4.
  25. 25.Find the HCF of 12 and 10.
  26. 26.Find the HCF of 56 and 42.
  27. 27.Find the LCM of 8, 3 and 14.
  28. 28.Find the LCM of 14, 7 and 6.
  29. 29.Find the HCF of 30 and 42.
  30. 30.Find the LCM of 36 and 16.
  31. 31.Find the LCM of 4, 15 and 8.
  32. 32.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  33. 33.Find the LCM of 12, 2 and 7.
  34. 34.Find the LCM of 3 and 8.
  35. 35.Find the HCF of 65 and 117.
  36. 36.Find the HCF of 32 and 24.
  37. 37.Find the LCM of 8, 12 and 6.
  38. 38.Find the LCM of 3, 15 and 7.
  39. 39.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  40. 40.Find the HCF of 8 and 28.

Answer key

  1. 14
  2. 13
  3. 4
  4. 28
  5. 10
  6. 14
  7. 84
  8. 5
  9. 5
  10. 27
  11. 15
  12. 3
  13. 156
  14. 120
  15. 36
  16. 40
  17. 144
  18. 7
  19. 45
  20. 81
  21. 4
  22. 30
  23. 40
  24. 28
  25. 2
  26. 14
  27. 168
  28. 42
  29. 6
  30. 144
  31. 120
  32. 20
  33. 84
  34. 24
  35. 13
  36. 8
  37. 24
  38. 105
  39. 18
  40. 4

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