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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 697 · 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 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  2. 2.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 12, 6 and 9.
  4. 4.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  6. 6.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  7. 7.Find the LCM of 20 and 8.
  8. 8.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  9. 9.Find the LCM of 15, 5 and 4.
  10. 10.Find the LCM of 14, 15 and 3.
  11. 11.Find the HCF of 98 and 112.
  12. 12.Find the LCM of 6, 12 and 13.
  13. 13.Find the LCM of 5 and 3.
  14. 14.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  15. 15.Find the LCM of 12, 15 and 10.
  16. 16.Find the LCM of 3, 5 and 11.
  17. 17.Find the HCF of 28 and 32.
  18. 18.Find the HCF of 4 and 18.
  19. 19.Find the HCF of 91 and 65.
  20. 20.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  21. 21.Find the LCM of 3 and 7.
  22. 22.Find the HCF of 120 and 135.
  23. 23.Find the LCM of 5, 6 and 7.
  24. 24.Find the LCM of 7, 15 and 2.
  25. 25.Find the LCM of 5 and 6.
  26. 26.Find the HCF of 40 and 25.
  27. 27.Find the LCM of 15, 8 and 5.
  28. 28.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  29. 29.Find the HCF of 70 and 40.
  30. 30.Find the HCF of 24 and 21.
  31. 31.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  32. 32.Find the HCF of 12 and 14.
  33. 33.Find the LCM of 48 and 18.
  34. 34.Find the LCM of 12, 15 and 5.
  35. 35.Find the LCM of 14 and 12.
  36. 36.Find the HCF of 98 and 42.
  37. 37.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  38. 38.Find the HCF of 25 and 35.
  39. 39.Find the HCF of 42 and 48.
  40. 40.Find the LCM of 8 and 9.

Answer key

  1. 54
  2. 4
  3. 36
  4. 45
  5. 10
  6. 35
  7. 40
  8. 32
  9. 60
  10. 210
  11. 14
  12. 156
  13. 15
  14. 18
  15. 60
  16. 165
  17. 4
  18. 2
  19. 13
  20. 12
  21. 21
  22. 15
  23. 210
  24. 210
  25. 30
  26. 5
  27. 120
  28. 36
  29. 10
  30. 3
  31. 49
  32. 2
  33. 144
  34. 60
  35. 84
  36. 14
  37. 27
  38. 5
  39. 6
  40. 72

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