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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 337 · 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 21 and 27.
  2. 2.Find the HCF of 44 and 33.
  3. 3.Find the LCM of 18 and 15.
  4. 4.Find the HCF of 126 and 70.
  5. 5.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  6. 6.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  7. 7.Find the HCF of 15 and 12.
  8. 8.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 3, 6 and 5.
  11. 11.Find the LCM of 42 and 36.
  12. 12.Find the LCM of 8, 12 and 3.
  13. 13.Find the LCM of 4, 6 and 3.
  14. 14.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  15. 15.Find the LCM of 30 and 25.
  16. 16.Find the LCM of 24 and 9.
  17. 17.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 48 and 18.
  19. 19.Find the LCM of 11, 3 and 9.
  20. 20.Find the LCM of 7 and 2.
  21. 21.Find the LCM of 12, 9 and 10.
  22. 22.Find the LCM of 15, 3 and 6.
  23. 23.Find the LCM of 30 and 35.
  24. 24.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  25. 25.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  26. 26.Find the HCF of 4 and 6.
  27. 27.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  28. 28.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  29. 29.Find the HCF of 12 and 8.
  30. 30.Find the LCM of 18 and 42.
  31. 31.Find the LCM of 28 and 16.
  32. 32.Find the HCF of 20 and 90.
  33. 33.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  34. 34.Find the HCF of 21 and 18.
  35. 35.Find the LCM of 28 and 24.
  36. 36.Find the HCF of 77 and 88.
  37. 37.Find the LCM of 7, 14 and 3.
  38. 38.Find the LCM of 15 and 35.
  39. 39.Find the LCM of 48 and 54.
  40. 40.Find the LCM of 12, 15 and 5.

Answer key

  1. 3
  2. 11
  3. 90
  4. 14
  5. 45
  6. 64
  7. 3
  8. 35
  9. 15
  10. 30
  11. 252
  12. 24
  13. 12
  14. 81
  15. 150
  16. 72
  17. 42
  18. 6
  19. 99
  20. 14
  21. 180
  22. 30
  23. 210
  24. 40
  25. 18
  26. 2
  27. 18
  28. 36
  29. 4
  30. 126
  31. 112
  32. 10
  33. 63
  34. 3
  35. 168
  36. 11
  37. 42
  38. 105
  39. 432
  40. 60

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