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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 646 · 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 33 and 88.
  2. 2.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  3. 3.Find the HCF of 42 and 36.
  4. 4.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  5. 5.Find the LCM of 8, 2 and 5.
  6. 6.Find the LCM of 10, 4 and 12.
  7. 7.Find the HCF of 24 and 28.
  8. 8.Find the LCM of 14, 5 and 15.
  9. 9.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  10. 10.Find the LCM of 27 and 24.
  11. 11.Find the HCF of 63 and 49.
  12. 12.Find the LCM of 4, 3 and 13.
  13. 13.Find the LCM of 12, 2 and 9.
  14. 14.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  15. 15.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  16. 16.Find the HCF of 20 and 90.
  17. 17.Find the LCM of 25 and 40.
  18. 18.Find the HCF of 40 and 56.
  19. 19.Find the HCF of 9 and 12.
  20. 20.Find the HCF of 28 and 32.
  21. 21.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  23. 23.Find the LCM of 27 and 12.
  24. 24.Find the LCM of 15 and 10.
  25. 25.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  26. 26.Find the HCF of 35 and 42.
  27. 27.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  28. 28.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  29. 29.Find the HCF of 84 and 72.
  30. 30.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  31. 31.Find the HCF of 36 and 28.
  32. 32.Find the HCF of 33 and 55.
  33. 33.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  34. 34.Find the HCF of 9 and 15.
  35. 35.Find the LCM of 27 and 6.
  36. 36.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  37. 37.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  38. 38.Find the LCM of 5, 6 and 7.
  39. 39.Find the HCF of 40 and 32.
  40. 40.Find the LCM of 10 and 8.

Answer key

  1. 11
  2. 18
  3. 6
  4. 25
  5. 40
  6. 60
  7. 4
  8. 210
  9. 30
  10. 216
  11. 7
  12. 156
  13. 36
  14. 28
  15. 36
  16. 10
  17. 200
  18. 8
  19. 3
  20. 4
  21. 56
  22. 10
  23. 108
  24. 30
  25. 56
  26. 7
  27. 54
  28. 4
  29. 12
  30. 63
  31. 4
  32. 11
  33. 48
  34. 3
  35. 54
  36. 54
  37. 40
  38. 210
  39. 8
  40. 40

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