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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 596 · 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.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  2. 2.Find the HCF of 44 and 33.
  3. 3.Find the LCM of 45 and 25.
  4. 4.Find the HCF of 105 and 75.
  5. 5.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  6. 6.Find the LCM of 2, 7 and 15.
  7. 7.Find the HCF of 84 and 24.
  8. 8.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  9. 9.Find the HCF of 99 and 22.
  10. 10.Find the LCM of 10 and 15.
  11. 11.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  12. 12.Find the LCM of 36 and 42.
  13. 13.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  14. 14.Find the HCF of 45 and 30.
  15. 15.Find the LCM of 5 and 9.
  16. 16.Find the LCM of 30 and 24.
  17. 17.Find the LCM of 2 and 5.
  18. 18.Find the LCM of 18 and 30.
  19. 19.Find the LCM of 10, 15 and 6.
  20. 20.Find the HCF of 10 and 16.
  21. 21.Find the LCM of 6, 2 and 9.
  22. 22.Find the LCM of 3, 2 and 7.
  23. 23.Find the LCM of 14, 7 and 13.
  24. 24.Find the LCM of 9, 10 and 12.
  25. 25.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 5, 14 and 10.
  27. 27.Find the LCM of 10, 6 and 8.
  28. 28.Find the HCF of 22 and 55.
  29. 29.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  30. 30.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  31. 31.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  32. 32.Find the LCM of 8 and 28.
  33. 33.Find the LCM of 12 and 14.
  34. 34.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  35. 35.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  36. 36.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  37. 37.Find the LCM of 14, 5 and 6.
  38. 38.Find the HCF of 8 and 18.
  39. 39.Find the HCF of 8 and 10.
  40. 40.Find the HCF of 28 and 20.

Answer key

  1. 28
  2. 11
  3. 225
  4. 15
  5. 63
  6. 210
  7. 12
  8. 24
  9. 11
  10. 30
  11. 14
  12. 252
  13. 24
  14. 15
  15. 45
  16. 120
  17. 10
  18. 90
  19. 30
  20. 2
  21. 18
  22. 42
  23. 182
  24. 180
  25. 40
  26. 70
  27. 120
  28. 11
  29. 20
  30. 25
  31. 14
  32. 56
  33. 84
  34. 9
  35. 16
  36. 21
  37. 210
  38. 2
  39. 2
  40. 4

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