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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 248 · 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 20. One of the numbers is 10. What is the other number?
  2. 2.Find the HCF of 10 and 4.
  3. 3.Find the HCF of 21 and 24.
  4. 4.Find the LCM of 3, 2 and 12.
  5. 5.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  6. 6.Find the HCF of 56 and 21.
  7. 7.Find the LCM of 4, 15 and 6.
  8. 8.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  9. 9.Find the LCM of 10, 14 and 6.
  10. 10.Find the HCF of 40 and 72.
  11. 11.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  12. 12.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  13. 13.Find the LCM of 3, 6 and 10.
  14. 14.Find the LCM of 14 and 12.
  15. 15.Find the LCM of 7, 8 and 6.
  16. 16.Find the HCF of 18 and 15.
  17. 17.Find the HCF of 12 and 16.
  18. 18.Find the LCM of 4, 13 and 3.
  19. 19.Find the HCF of 84 and 48.
  20. 20.Find the HCF of 12 and 32.
  21. 21.Find the HCF of 15 and 25.
  22. 22.Find the HCF of 44 and 55.
  23. 23.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  24. 24.Find the HCF of 117 and 26.
  25. 25.Find the HCF of 21 and 18.
  26. 26.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  29. 29.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  30. 30.Find the HCF of 25 and 45.
  31. 31.Find the LCM of 12, 15 and 10.
  32. 32.Find the LCM of 2 and 7.
  33. 33.Find the LCM of 35 and 10.
  34. 34.Find the LCM of 42 and 18.
  35. 35.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  36. 36.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  37. 37.Find the LCM of 4, 7 and 8.
  38. 38.Find the HCF of 20 and 8.
  39. 39.Find the LCM of 5, 8 and 12.
  40. 40.Find the HCF of 77 and 66.

Answer key

  1. 4
  2. 2
  3. 3
  4. 12
  5. 56
  6. 7
  7. 60
  8. 35
  9. 210
  10. 8
  11. 21
  12. 21
  13. 30
  14. 84
  15. 168
  16. 3
  17. 4
  18. 156
  19. 12
  20. 4
  21. 5
  22. 11
  23. 30
  24. 13
  25. 3
  26. 45
  27. 8
  28. 18
  29. 18
  30. 5
  31. 60
  32. 14
  33. 70
  34. 126
  35. 27
  36. 15
  37. 56
  38. 4
  39. 120
  40. 11

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