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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 77 · 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 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  2. 2.Find the HCF of 32 and 28.
  3. 3.Find the HCF of 8 and 14.
  4. 4.Find the LCM of 12, 2 and 15.
  5. 5.Find the HCF of 63 and 49.
  6. 6.Find the LCM of 8 and 5.
  7. 7.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  8. 8.Find the LCM of 45 and 25.
  9. 9.Find the LCM of 4 and 14.
  10. 10.Find the LCM of 6 and 4.
  11. 11.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  12. 12.Find the LCM of 6, 13 and 12.
  13. 13.Find the LCM of 14, 2 and 8.
  14. 14.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  15. 15.Find the LCM of 7, 5 and 4.
  16. 16.Find the LCM of 14, 6 and 2.
  17. 17.Find the LCM of 15, 3 and 5.
  18. 18.Find the LCM of 2, 13 and 10.
  19. 19.Find the HCF of 56 and 70.
  20. 20.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  21. 21.Find the LCM of 35 and 10.
  22. 22.Find the LCM of 8 and 10.
  23. 23.Find the LCM of 35 and 40.
  24. 24.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  25. 25.Find the LCM of 36 and 30.
  26. 26.Find the LCM of 9 and 15.
  27. 27.Find the LCM of 6 and 21.
  28. 28.Find the HCF of 18 and 63.
  29. 29.Find the HCF of 4 and 14.
  30. 30.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  31. 31.Find the LCM of 9 and 5.
  32. 32.Find the LCM of 24 and 27.
  33. 33.Find the LCM of 6, 14 and 15.
  34. 34.Find the LCM of 3, 11 and 7.
  35. 35.Find the LCM of 15, 6 and 4.
  36. 36.Find the HCF of 40 and 45.
  37. 37.Find the LCM of 12 and 18.
  38. 38.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  39. 39.Find the LCM of 6 and 14.
  40. 40.Find the HCF of 21 and 18.

Answer key

  1. 64
  2. 4
  3. 2
  4. 60
  5. 7
  6. 40
  7. 4
  8. 225
  9. 28
  10. 12
  11. 12
  12. 156
  13. 56
  14. 15
  15. 140
  16. 42
  17. 15
  18. 130
  19. 14
  20. 32
  21. 70
  22. 40
  23. 280
  24. 14
  25. 180
  26. 45
  27. 42
  28. 9
  29. 2
  30. 6
  31. 45
  32. 216
  33. 210
  34. 231
  35. 60
  36. 5
  37. 36
  38. 35
  39. 42
  40. 3

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