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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 894 · 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 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  3. 3.Find the LCM of 48 and 54.
  4. 4.Find the LCM of 15, 3 and 2.
  5. 5.Find the LCM of 6 and 4.
  6. 6.Find the HCF of 45 and 10.
  7. 7.Find the HCF of 32 and 28.
  8. 8.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  9. 9.Find the HCF of 28 and 98.
  10. 10.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  12. 12.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  13. 13.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 3, 2 and 13.
  15. 15.Find the LCM of 8 and 3.
  16. 16.Find the LCM of 12, 6 and 2.
  17. 17.Find the HCF of 48 and 54.
  18. 18.Find the LCM of 8 and 14.
  19. 19.Find the LCM of 6, 5 and 8.
  20. 20.Find the LCM of 18 and 4.
  21. 21.Find the LCM of 20 and 15.
  22. 22.Find the LCM of 5 and 4.
  23. 23.Find the LCM of 30 and 18.
  24. 24.Find the HCF of 112 and 70.
  25. 25.Find the LCM of 4, 6 and 5.
  26. 26.Find the HCF of 30 and 18.
  27. 27.Find the LCM of 15, 6 and 3.
  28. 28.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  29. 29.Find the HCF of 90 and 105.
  30. 30.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  31. 31.Find the HCF of 35 and 10.
  32. 32.Find the LCM of 24 and 9.
  33. 33.Find the LCM of 6, 8 and 14.
  34. 34.Find the HCF of 36 and 30.
  35. 35.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  36. 36.Find the HCF of 9 and 6.
  37. 37.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  38. 38.Find the HCF of 48 and 84.
  39. 39.Find the LCM of 3, 13 and 15.
  40. 40.Find the HCF of 24 and 16.

Answer key

  1. 48
  2. 12
  3. 432
  4. 30
  5. 12
  6. 5
  7. 4
  8. 40
  9. 14
  10. 21
  11. 10
  12. 24
  13. 28
  14. 78
  15. 24
  16. 12
  17. 6
  18. 56
  19. 120
  20. 36
  21. 60
  22. 20
  23. 90
  24. 14
  25. 60
  26. 6
  27. 30
  28. 48
  29. 15
  30. 16
  31. 5
  32. 72
  33. 168
  34. 6
  35. 6
  36. 3
  37. 14
  38. 12
  39. 195
  40. 8

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