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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 460 · 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 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  2. 2.Find the LCM of 18 and 42.
  3. 3.Find the HCF of 18 and 4.
  4. 4.Find the HCF of 40 and 72.
  5. 5.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  6. 6.Find the LCM of 9, 8 and 4.
  7. 7.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 30 and 48.
  9. 9.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  10. 10.Find the HCF of 12 and 9.
  11. 11.Find the HCF of 55 and 88.
  12. 12.Find the LCM of 42 and 30.
  13. 13.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  14. 14.Find the HCF of 45 and 18.
  15. 15.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  16. 16.Find the LCM of 9, 4 and 6.
  17. 17.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  18. 18.Find the HCF of 24 and 84.
  19. 19.Find the LCM of 7 and 4.
  20. 20.Find the HCF of 14 and 21.
  21. 21.Find the HCF of 77 and 33.
  22. 22.Find the LCM of 6, 9 and 15.
  23. 23.Find the LCM of 7 and 5.
  24. 24.Find the LCM of 6, 9 and 10.
  25. 25.Find the LCM of 7, 6 and 10.
  26. 26.Find the LCM of 15 and 40.
  27. 27.Find the LCM of 4, 14 and 12.
  28. 28.Find the LCM of 3, 9 and 10.
  29. 29.Find the LCM of 5, 2 and 10.
  30. 30.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  31. 31.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  32. 32.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  34. 34.Find the HCF of 26 and 39.
  35. 35.Find the HCF of 24 and 32.
  36. 36.Find the HCF of 48 and 84.
  37. 37.Find the LCM of 42 and 24.
  38. 38.Find the LCM of 7, 12 and 14.
  39. 39.Find the HCF of 10 and 35.
  40. 40.Find the LCM of 5 and 2.

Answer key

  1. 30
  2. 126
  3. 2
  4. 8
  5. 18
  6. 72
  7. 12
  8. 240
  9. 42
  10. 3
  11. 11
  12. 210
  13. 25
  14. 9
  15. 32
  16. 36
  17. 45
  18. 12
  19. 28
  20. 7
  21. 11
  22. 90
  23. 35
  24. 90
  25. 210
  26. 120
  27. 84
  28. 90
  29. 10
  30. 16
  31. 8
  32. 63
  33. 18
  34. 13
  35. 8
  36. 12
  37. 168
  38. 84
  39. 5
  40. 10

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