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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 75 · 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 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  2. 2.Find the HCF of 45 and 27.
  3. 3.Find the LCM of 9 and 8.
  4. 4.Find the HCF of 33 and 88.
  5. 5.Find the HCF of 99 and 44.
  6. 6.Find the LCM of 8 and 14.
  7. 7.Find the HCF of 54 and 45.
  8. 8.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  9. 9.Find the LCM of 6 and 9.
  10. 10.Find the LCM of 12, 4 and 13.
  11. 11.Find the LCM of 10, 5 and 4.
  12. 12.Find the LCM of 5, 6 and 15.
  13. 13.Find the HCF of 20 and 36.
  14. 14.Find the LCM of 40 and 45.
  15. 15.Find the LCM of 2, 14 and 15.
  16. 16.Find the HCF of 126 and 56.
  17. 17.Find the HCF of 6 and 10.
  18. 18.Find the HCF of 56 and 32.
  19. 19.Find the LCM of 2 and 9.
  20. 20.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  21. 21.Find the LCM of 7, 3 and 2.
  22. 22.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  23. 23.Find the LCM of 54 and 48.
  24. 24.Find the LCM of 25 and 10.
  25. 25.Find the HCF of 108 and 24.
  26. 26.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  27. 27.Find the LCM of 24 and 15.
  28. 28.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  29. 29.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  30. 30.Find the HCF of 9 and 24.
  31. 31.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  32. 32.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  33. 33.Find the HCF of 45 and 75.
  34. 34.Find the LCM of 18 and 4.
  35. 35.Find the HCF of 32 and 36.
  36. 36.Find the LCM of 9, 15 and 3.
  37. 37.Find the LCM of 3, 5 and 8.
  38. 38.Find the LCM of 3, 12 and 13.
  39. 39.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?

Answer key

  1. 40
  2. 9
  3. 72
  4. 11
  5. 11
  6. 56
  7. 9
  8. 35
  9. 18
  10. 156
  11. 20
  12. 30
  13. 4
  14. 360
  15. 210
  16. 14
  17. 2
  18. 8
  19. 18
  20. 15
  21. 42
  22. 20
  23. 432
  24. 50
  25. 12
  26. 15
  27. 120
  28. 16
  29. 20
  30. 3
  31. 21
  32. 64
  33. 15
  34. 36
  35. 4
  36. 45
  37. 120
  38. 156
  39. 42
  40. 48

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