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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 653 · 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 60 and 105.
  2. 2.Find the LCM of 15 and 10.
  3. 3.Find the LCM of 13, 4 and 12.
  4. 4.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  5. 5.Find the LCM of 12 and 28.
  6. 6.Find the HCF of 42 and 28.
  7. 7.Find the HCF of 14 and 16.
  8. 8.Find the HCF of 22 and 99.
  9. 9.Find the LCM of 3 and 8.
  10. 10.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  11. 11.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  12. 12.Find the LCM of 11, 14 and 7.
  13. 13.Find the LCM of 2 and 3.
  14. 14.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  15. 15.Find the LCM of 3 and 4.
  16. 16.Find the HCF of 48 and 40.
  17. 17.Find the LCM of 15, 6 and 12.
  18. 18.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  19. 19.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  20. 20.Find the LCM of 3, 7 and 8.
  21. 21.Find the LCM of 6 and 10.
  22. 22.Find the HCF of 63 and 18.
  23. 23.Find the HCF of 48 and 36.
  24. 24.Find the LCM of 14 and 4.
  25. 25.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  26. 26.Find the HCF of 65 and 26.
  27. 27.Find the LCM of 42 and 48.
  28. 28.Find the LCM of 5, 10 and 6.
  29. 29.Find the LCM of 10, 3 and 2.
  30. 30.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  31. 31.Find the HCF of 14 and 49.
  32. 32.Find the LCM of 20 and 15.
  33. 33.Find the LCM of 12, 2 and 7.
  34. 34.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  35. 35.Find the LCM of 5, 14 and 3.
  36. 36.Find the HCF of 45 and 35.
  37. 37.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  39. 39.Find the HCF of 135 and 75.
  40. 40.Find the LCM of 6, 9 and 3.

Answer key

  1. 15
  2. 30
  3. 156
  4. 18
  5. 84
  6. 14
  7. 2
  8. 11
  9. 24
  10. 12
  11. 15
  12. 154
  13. 6
  14. 24
  15. 12
  16. 8
  17. 60
  18. 10
  19. 28
  20. 168
  21. 30
  22. 9
  23. 12
  24. 28
  25. 24
  26. 13
  27. 336
  28. 30
  29. 30
  30. 45
  31. 7
  32. 60
  33. 84
  34. 12
  35. 210
  36. 5
  37. 24
  38. 12
  39. 15
  40. 18

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