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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 96 · 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 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  2. 2.Find the HCF of 65 and 91.
  3. 3.Find the HCF of 55 and 88.
  4. 4.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  5. 5.Find the HCF of 91 and 26.
  6. 6.Find the LCM of 18 and 15.
  7. 7.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  8. 8.Find the HCF of 44 and 99.
  9. 9.Find the LCM of 12, 4 and 7.
  10. 10.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  11. 11.Find the LCM of 24 and 20.
  12. 12.Find the HCF of 45 and 18.
  13. 13.Find the LCM of 20 and 16.
  14. 14.Find the HCF of 6 and 10.
  15. 15.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  16. 16.Find the HCF of 40 and 32.
  17. 17.Find the HCF of 39 and 65.
  18. 18.Find the HCF of 64 and 40.
  19. 19.Find the LCM of 7 and 3.
  20. 20.Find the LCM of 24 and 42.
  21. 21.Find the HCF of 60 and 75.
  22. 22.Find the HCF of 75 and 90.
  23. 23.Find the LCM of 2, 12 and 9.
  24. 24.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  25. 25.Find the HCF of 45 and 105.
  26. 26.Find the HCF of 70 and 42.
  27. 27.Find the LCM of 21 and 6.
  28. 28.Find the LCM of 25 and 20.
  29. 29.Find the LCM of 25 and 45.
  30. 30.Find the HCF of 56 and 126.
  31. 31.Find the LCM of 45 and 25.
  32. 32.Find the LCM of 6 and 21.
  33. 33.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  34. 34.Find the LCM of 12, 9 and 5.
  35. 35.Find the LCM of 6, 10 and 12.
  36. 36.Find the LCM of 13, 3 and 2.
  37. 37.Find the HCF of 15 and 9.
  38. 38.Find the LCM of 3, 7 and 15.
  39. 39.Find the LCM of 18 and 21.
  40. 40.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?

Answer key

  1. 18
  2. 13
  3. 11
  4. 15
  5. 13
  6. 90
  7. 64
  8. 11
  9. 84
  10. 8
  11. 120
  12. 9
  13. 80
  14. 2
  15. 8
  16. 8
  17. 13
  18. 8
  19. 21
  20. 168
  21. 15
  22. 15
  23. 36
  24. 18
  25. 15
  26. 14
  27. 42
  28. 100
  29. 225
  30. 14
  31. 225
  32. 42
  33. 12
  34. 180
  35. 60
  36. 78
  37. 3
  38. 105
  39. 126
  40. 10

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