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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 4 · 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 27 and 18.
  2. 2.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  3. 3.Find the HCF of 35 and 14.
  4. 4.Find the LCM of 32 and 28.
  5. 5.Find the HCF of 40 and 90.
  6. 6.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  7. 7.Find the HCF of 25 and 10.
  8. 8.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  10. 10.Find the LCM of 8, 6 and 7.
  11. 11.Find the HCF of 28 and 24.
  12. 12.Find the HCF of 70 and 28.
  13. 13.Find the HCF of 36 and 20.
  14. 14.Find the LCM of 14, 3 and 8.
  15. 15.Find the HCF of 55 and 33.
  16. 16.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  17. 17.Find the LCM of 15 and 18.
  18. 18.Find the LCM of 24 and 15.
  19. 19.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  20. 20.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  21. 21.Find the HCF of 16 and 72.
  22. 22.Find the HCF of 105 and 45.
  23. 23.Find the HCF of 77 and 22.
  24. 24.Find the HCF of 40 and 24.
  25. 25.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  26. 26.Find the HCF of 99 and 88.
  27. 27.Find the LCM of 2, 9 and 8.
  28. 28.Find the LCM of 2, 8 and 4.
  29. 29.Find the HCF of 42 and 36.
  30. 30.Find the LCM of 12, 4 and 2.
  31. 31.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  32. 32.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  33. 33.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  34. 34.Find the LCM of 4, 14 and 2.
  35. 35.Find the HCF of 21 and 6.
  36. 36.Find the LCM of 2, 13 and 4.
  37. 37.Find the HCF of 105 and 60.
  38. 38.Find the LCM of 36 and 30.
  39. 39.Find the HCF of 135 and 120.
  40. 40.Find the LCM of 6, 5 and 14.

Answer key

  1. 9
  2. 45
  3. 7
  4. 224
  5. 10
  6. 6
  7. 5
  8. 12
  9. 16
  10. 168
  11. 4
  12. 14
  13. 4
  14. 168
  15. 11
  16. 21
  17. 90
  18. 120
  19. 15
  20. 30
  21. 8
  22. 15
  23. 11
  24. 8
  25. 21
  26. 11
  27. 72
  28. 8
  29. 6
  30. 12
  31. 40
  32. 15
  33. 45
  34. 28
  35. 3
  36. 52
  37. 15
  38. 180
  39. 15
  40. 210

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