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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 29 · 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 LCM of 12, 2 and 4.
  2. 2.Find the LCM of 15, 5 and 13.
  3. 3.Find the LCM of 9, 3 and 11.
  4. 4.Find the LCM of 36 and 20.
  5. 5.Find the LCM of 36 and 32.
  6. 6.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  7. 7.Find the HCF of 56 and 48.
  8. 8.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  9. 9.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  10. 10.Find the LCM of 4, 12 and 3.
  11. 11.Find the HCF of 28 and 21.
  12. 12.Find the HCF of 40 and 50.
  13. 13.Find the LCM of 16 and 28.
  14. 14.Find the LCM of 4, 2 and 8.
  15. 15.Find the HCF of 45 and 27.
  16. 16.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  19. 19.Find the HCF of 70 and 60.
  20. 20.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  21. 21.Find the HCF of 135 and 105.
  22. 22.Find the HCF of 39 and 104.
  23. 23.Find the LCM of 8, 11 and 2.
  24. 24.Find the LCM of 7 and 4.
  25. 25.Find the HCF of 20 and 32.
  26. 26.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  27. 27.Find the HCF of 117 and 104.
  28. 28.Find the HCF of 32 and 40.
  29. 29.Find the LCM of 30 and 12.
  30. 30.Find the LCM of 32 and 20.
  31. 31.Find the HCF of 27 and 18.
  32. 32.Find the HCF of 6 and 14.
  33. 33.Find the LCM of 30 and 18.
  34. 34.Find the HCF of 28 and 12.
  35. 35.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  36. 36.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  37. 37.Find the HCF of 35 and 20.
  38. 38.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  40. 40.Find the HCF of 4 and 14.

Answer key

  1. 12
  2. 195
  3. 99
  4. 180
  5. 288
  6. 8
  7. 8
  8. 8
  9. 24
  10. 12
  11. 7
  12. 10
  13. 112
  14. 8
  15. 9
  16. 21
  17. 35
  18. 64
  19. 10
  20. 6
  21. 15
  22. 13
  23. 88
  24. 28
  25. 4
  26. 28
  27. 13
  28. 8
  29. 60
  30. 160
  31. 9
  32. 2
  33. 90
  34. 4
  35. 21
  36. 16
  37. 5
  38. 54
  39. 72
  40. 2

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