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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 497 · 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 12 and 8.
  2. 2.Find the HCF of 56 and 32.
  3. 3.Find the LCM of 10 and 15.
  4. 4.Find the HCF of 63 and 56.
  5. 5.Find the LCM of 3 and 4.
  6. 6.Find the LCM of 15 and 18.
  7. 7.Find the LCM of 15 and 20.
  8. 8.Find the HCF of 24 and 18.
  9. 9.Find the HCF of 99 and 55.
  10. 10.Find the LCM of 6 and 9.
  11. 11.Find the LCM of 35 and 25.
  12. 12.Find the LCM of 21 and 12.
  13. 13.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  14. 14.Find the LCM of 5 and 3.
  15. 15.Find the HCF of 24 and 36.
  16. 16.Find the LCM of 30 and 42.
  17. 17.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 36 and 30.
  19. 19.Find the LCM of 3, 5 and 2.
  20. 20.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  21. 21.Find the LCM of 48 and 18.
  22. 22.Find the LCM of 8 and 9.
  23. 23.Find the LCM of 10, 4 and 5.
  24. 24.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  25. 25.Find the HCF of 9 and 21.
  26. 26.Find the HCF of 24 and 60.
  27. 27.Find the LCM of 3, 6 and 5.
  28. 28.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  29. 29.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  30. 30.Find the LCM of 7, 6 and 4.
  31. 31.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  32. 32.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  33. 33.Find the LCM of 9, 13 and 3.
  34. 34.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  35. 35.Find the HCF of 91 and 39.
  36. 36.Find the LCM of 21 and 9.
  37. 37.Find the HCF of 6 and 9.
  38. 38.Find the HCF of 15 and 12.
  39. 39.Find the HCF of 16 and 56.
  40. 40.Find the LCM of 11, 12 and 2.

Answer key

  1. 4
  2. 8
  3. 30
  4. 7
  5. 12
  6. 90
  7. 60
  8. 6
  9. 11
  10. 18
  11. 175
  12. 84
  13. 20
  14. 15
  15. 12
  16. 210
  17. 63
  18. 6
  19. 30
  20. 56
  21. 144
  22. 72
  23. 20
  24. 42
  25. 3
  26. 12
  27. 30
  28. 16
  29. 9
  30. 84
  31. 10
  32. 35
  33. 117
  34. 18
  35. 13
  36. 63
  37. 3
  38. 3
  39. 8
  40. 132

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