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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 211 · 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 40 and 25.
  2. 2.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  4. 4.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  6. 6.Find the HCF of 8 and 14.
  7. 7.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  8. 8.Find the HCF of 27 and 15.
  9. 9.Find the LCM of 20 and 45.
  10. 10.Find the LCM of 25 and 20.
  11. 11.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  13. 13.Find the HCF of 45 and 35.
  14. 14.Find the HCF of 49 and 42.
  15. 15.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  16. 16.Find the LCM of 35 and 20.
  17. 17.Find the HCF of 16 and 6.
  18. 18.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 4, 10 and 15.
  20. 20.Find the HCF of 35 and 42.
  21. 21.Find the HCF of 27 and 45.
  22. 22.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  23. 23.Find the LCM of 12 and 20.
  24. 24.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  25. 25.Find the HCF of 24 and 64.
  26. 26.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  27. 27.Find the LCM of 9, 8 and 12.
  28. 28.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  29. 29.Find the HCF of 70 and 40.
  30. 30.Find the LCM of 15, 5 and 10.
  31. 31.Find the LCM of 11, 2 and 9.
  32. 32.Find the LCM of 14, 2 and 6.
  33. 33.Find the LCM of 3, 13 and 15.
  34. 34.Find the HCF of 35 and 45.
  35. 35.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  36. 36.Find the LCM of 2, 3 and 15.
  37. 37.Find the LCM of 10 and 45.
  38. 38.Find the LCM of 6, 2 and 5.
  39. 39.Find the LCM of 54 and 48.
  40. 40.Find the HCF of 56 and 64.

Answer key

  1. 5
  2. 10
  3. 6
  4. 18
  5. 9
  6. 2
  7. 54
  8. 3
  9. 180
  10. 100
  11. 49
  12. 14
  13. 5
  14. 7
  15. 30
  16. 140
  17. 2
  18. 28
  19. 60
  20. 7
  21. 9
  22. 32
  23. 60
  24. 56
  25. 8
  26. 54
  27. 72
  28. 63
  29. 10
  30. 30
  31. 198
  32. 42
  33. 195
  34. 5
  35. 45
  36. 30
  37. 90
  38. 30
  39. 432
  40. 8

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