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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 314 · 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.Find the HCF of 22 and 55.
  2. 2.Find the LCM of 12, 8 and 5.
  3. 3.Find the LCM of 45 and 10.
  4. 4.Find the HCF of 32 and 12.
  5. 5.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  6. 6.Find the HCF of 18 and 12.
  7. 7.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 13, 2 and 6.
  9. 9.Find the LCM of 14 and 18.
  10. 10.Find the HCF of 98 and 28.
  11. 11.Find the HCF of 64 and 24.
  12. 12.Find the LCM of 8, 12 and 5.
  13. 13.Find the HCF of 60 and 45.
  14. 14.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  15. 15.Find the LCM of 12 and 20.
  16. 16.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  17. 17.Find the HCF of 24 and 64.
  18. 18.Find the HCF of 40 and 64.
  19. 19.Find the HCF of 14 and 16.
  20. 20.Find the LCM of 6, 3 and 7.
  21. 21.Find the HCF of 8 and 20.
  22. 22.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  23. 23.Find the LCM of 8, 4 and 6.
  24. 24.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  25. 25.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 15, 6 and 9.
  27. 27.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  28. 28.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  29. 29.Find the LCM of 10 and 15.
  30. 30.Find the HCF of 26 and 91.
  31. 31.Find the LCM of 8 and 3.
  32. 32.Find the HCF of 56 and 42.
  33. 33.Find the LCM of 2, 8 and 13.
  34. 34.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  35. 35.Find the LCM of 6 and 27.
  36. 36.Find the LCM of 12 and 9.
  37. 37.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  38. 38.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  39. 39.Find the LCM of 6, 2 and 11.
  40. 40.Find the HCF of 28 and 42.

Answer key

  1. 11
  2. 120
  3. 90
  4. 4
  5. 35
  6. 6
  7. 27
  8. 78
  9. 126
  10. 14
  11. 8
  12. 120
  13. 15
  14. 14
  15. 60
  16. 20
  17. 8
  18. 8
  19. 2
  20. 42
  21. 4
  22. 40
  23. 24
  24. 14
  25. 6
  26. 90
  27. 45
  28. 24
  29. 30
  30. 13
  31. 24
  32. 14
  33. 104
  34. 6
  35. 54
  36. 36
  37. 18
  38. 35
  39. 66
  40. 14

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