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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 79 · 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 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  2. 2.Find the LCM of 14, 3 and 15.
  3. 3.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  5. 5.Find the LCM of 25 and 35.
  6. 6.Find the LCM of 5 and 2.
  7. 7.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 8 and 3.
  9. 9.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  10. 10.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  11. 11.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  13. 13.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  14. 14.Find the HCF of 84 and 96.
  15. 15.Find the LCM of 12 and 28.
  16. 16.Find the HCF of 120 and 45.
  17. 17.Find the LCM of 14 and 8.
  18. 18.Find the HCF of 24 and 36.
  19. 19.Find the LCM of 8, 4 and 12.
  20. 20.Find the LCM of 12 and 27.
  21. 21.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  22. 22.Find the HCF of 30 and 105.
  23. 23.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  24. 24.Find the HCF of 72 and 16.
  25. 25.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  26. 26.Find the HCF of 12 and 14.
  27. 27.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  28. 28.Find the LCM of 9 and 5.
  29. 29.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  30. 30.Find the LCM of 9 and 7.
  31. 31.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 10 and 8.
  33. 33.Find the HCF of 28 and 126.
  34. 34.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  35. 35.Find the HCF of 44 and 33.
  36. 36.Find the LCM of 12, 2 and 10.
  37. 37.Find the HCF of 35 and 63.
  38. 38.Find the LCM of 14, 9 and 2.
  39. 39.Find the LCM of 2, 11 and 4.
  40. 40.Find the HCF of 91 and 104.

Answer key

  1. 54
  2. 210
  3. 45
  4. 32
  5. 175
  6. 10
  7. 6
  8. 24
  9. 18
  10. 27
  11. 32
  12. 18
  13. 63
  14. 12
  15. 84
  16. 15
  17. 56
  18. 12
  19. 24
  20. 108
  21. 27
  22. 15
  23. 63
  24. 8
  25. 8
  26. 2
  27. 6
  28. 45
  29. 72
  30. 63
  31. 24
  32. 40
  33. 14
  34. 15
  35. 11
  36. 60
  37. 7
  38. 126
  39. 44
  40. 13

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