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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 489 · 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 112 and 70.
  2. 2.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  3. 3.Find the LCM of 3, 9 and 13.
  4. 4.Find the LCM of 5 and 4.
  5. 5.Find the LCM of 9 and 12.
  6. 6.Find the LCM of 4 and 10.
  7. 7.Find the LCM of 4, 13 and 12.
  8. 8.Find the HCF of 15 and 40.
  9. 9.Find the LCM of 25 and 40.
  10. 10.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  11. 11.Find the LCM of 10, 7 and 4.
  12. 12.Find the LCM of 15 and 35.
  13. 13.Find the LCM of 8 and 20.
  14. 14.Find the LCM of 40 and 35.
  15. 15.Find the LCM of 8 and 6.
  16. 16.Find the HCF of 55 and 77.
  17. 17.Find the HCF of 63 and 49.
  18. 18.Find the LCM of 10 and 15.
  19. 19.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  20. 20.Find the LCM of 15, 7 and 2.
  21. 21.Find the LCM of 36 and 28.
  22. 22.Find the LCM of 9 and 21.
  23. 23.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  24. 24.Find the LCM of 5, 10 and 3.
  25. 25.Find the HCF of 49 and 42.
  26. 26.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  28. 28.Find the LCM of 14, 2 and 8.
  29. 29.Find the HCF of 15 and 6.
  30. 30.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  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 HCF of 84 and 72.
  33. 33.Find the LCM of 4, 2 and 6.
  34. 34.Find the HCF of 80 and 30.
  35. 35.Find the LCM of 7, 13 and 14.
  36. 36.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  37. 37.Find the LCM of 4, 10 and 5.
  38. 38.Find the HCF of 26 and 39.
  39. 39.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  40. 40.Find the HCF of 22 and 77.

Answer key

  1. 14
  2. 42
  3. 117
  4. 20
  5. 36
  6. 20
  7. 156
  8. 5
  9. 200
  10. 25
  11. 140
  12. 105
  13. 40
  14. 280
  15. 24
  16. 11
  17. 7
  18. 30
  19. 81
  20. 210
  21. 252
  22. 63
  23. 72
  24. 30
  25. 7
  26. 48
  27. 45
  28. 56
  29. 3
  30. 48
  31. 24
  32. 12
  33. 12
  34. 10
  35. 182
  36. 42
  37. 20
  38. 13
  39. 35
  40. 11

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