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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 137 · 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 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  2. 2.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  3. 3.Find the LCM of 8 and 36.
  4. 4.Find the HCF of 60 and 36.
  5. 5.Find the HCF of 9 and 6.
  6. 6.Find the HCF of 6 and 14.
  7. 7.Find the LCM of 7, 4 and 3.
  8. 8.Find the LCM of 9, 10 and 2.
  9. 9.Find the LCM of 3, 9 and 12.
  10. 10.Find the LCM of 8, 2 and 12.
  11. 11.Find the LCM of 12, 15 and 2.
  12. 12.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  13. 13.Find the LCM of 42 and 54.
  14. 14.Find the HCF of 65 and 78.
  15. 15.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  16. 16.Find the LCM of 3, 9 and 15.
  17. 17.Find the LCM of 8 and 6.
  18. 18.Find the HCF of 21 and 28.
  19. 19.Find the LCM of 14, 12 and 4.
  20. 20.Find the HCF of 45 and 105.
  21. 21.Find the LCM of 7, 9 and 6.
  22. 22.Find the HCF of 63 and 28.
  23. 23.Find the LCM of 10, 3 and 15.
  24. 24.Find the HCF of 24 and 20.
  25. 25.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  28. 28.Find the LCM of 42 and 24.
  29. 29.Find the LCM of 20 and 35.
  30. 30.Find the HCF of 98 and 112.
  31. 31.Find the LCM of 42 and 12.
  32. 32.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  33. 33.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  34. 34.Find the HCF of 49 and 63.
  35. 35.Find the LCM of 2, 12 and 13.
  36. 36.Find the HCF of 24 and 15.
  37. 37.Find the HCF of 10 and 6.
  38. 38.Find the LCM of 48 and 18.
  39. 39.Find the LCM of 6, 11 and 2.
  40. 40.Find the HCF of 60 and 45.

Answer key

  1. 40
  2. 18
  3. 72
  4. 12
  5. 3
  6. 2
  7. 84
  8. 90
  9. 36
  10. 24
  11. 60
  12. 28
  13. 378
  14. 13
  15. 63
  16. 45
  17. 24
  18. 7
  19. 84
  20. 15
  21. 126
  22. 7
  23. 30
  24. 4
  25. 16
  26. 15
  27. 81
  28. 168
  29. 140
  30. 14
  31. 84
  32. 48
  33. 8
  34. 7
  35. 156
  36. 3
  37. 2
  38. 144
  39. 66
  40. 15

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