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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 674 · 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 28 and 21.
  2. 2.Find the LCM of 6, 4 and 8.
  3. 3.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  4. 4.Find the LCM of 5, 4 and 3.
  5. 5.Find the HCF of 84 and 96.
  6. 6.Find the HCF of 35 and 10.
  7. 7.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  8. 8.Find the LCM of 24 and 54.
  9. 9.Find the HCF of 63 and 18.
  10. 10.Find the LCM of 8 and 10.
  11. 11.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  13. 13.Find the LCM of 8, 15 and 2.
  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 2, 15 and 6.
  16. 16.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  17. 17.Find the HCF of 56 and 63.
  18. 18.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  19. 19.Find the HCF of 126 and 70.
  20. 20.Find the LCM of 3, 6 and 2.
  21. 21.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  22. 22.Find the HCF of 78 and 65.
  23. 23.Find the LCM of 10, 5 and 11.
  24. 24.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  25. 25.Find the LCM of 9, 2 and 11.
  26. 26.Find the HCF of 40 and 15.
  27. 27.Find the LCM of 48 and 54.
  28. 28.Find the HCF of 4 and 10.
  29. 29.Find the LCM of 4, 2 and 11.
  30. 30.Find the LCM of 7, 12 and 8.
  31. 31.Find the LCM of 21 and 27.
  32. 32.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  33. 33.Find the HCF of 99 and 22.
  34. 34.Find the LCM of 3, 12 and 7.
  35. 35.Find the LCM of 5, 10 and 15.
  36. 36.Find the HCF of 99 and 55.
  37. 37.Find the LCM of 18 and 8.
  38. 38.Find the LCM of 9 and 12.
  39. 39.Find the HCF of 96 and 108.
  40. 40.Find the HCF of 104 and 91.

Answer key

  1. 7
  2. 24
  3. 14
  4. 60
  5. 12
  6. 5
  7. 45
  8. 216
  9. 9
  10. 40
  11. 27
  12. 8
  13. 120
  14. 14
  15. 30
  16. 35
  17. 7
  18. 9
  19. 14
  20. 6
  21. 40
  22. 13
  23. 110
  24. 32
  25. 198
  26. 5
  27. 432
  28. 2
  29. 44
  30. 168
  31. 189
  32. 16
  33. 11
  34. 84
  35. 30
  36. 11
  37. 72
  38. 36
  39. 12
  40. 13

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