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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 139 · 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 84 and 48.
  2. 2.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  3. 3.Find the HCF of 35 and 14.
  4. 4.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  5. 5.Find the LCM of 36 and 32.
  6. 6.Find the LCM of 40 and 25.
  7. 7.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  8. 8.Find the LCM of 5, 2 and 14.
  9. 9.Find the HCF of 9 and 15.
  10. 10.Find the HCF of 63 and 27.
  11. 11.Find the LCM of 5, 8 and 4.
  12. 12.Find the LCM of 7, 12 and 3.
  13. 13.Find the LCM of 21 and 18.
  14. 14.Find the HCF of 10 and 6.
  15. 15.Find the HCF of 77 and 88.
  16. 16.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  17. 17.Find the HCF of 27 and 21.
  18. 18.Find the LCM of 12, 3 and 9.
  19. 19.Find the LCM of 12, 4 and 9.
  20. 20.Find the HCF of 25 and 20.
  21. 21.Find the LCM of 36 and 30.
  22. 22.Find the LCM of 14 and 10.
  23. 23.Find the LCM of 9 and 15.
  24. 24.Find the LCM of 4 and 9.
  25. 25.Find the HCF of 28 and 32.
  26. 26.Find the LCM of 13, 2 and 7.
  27. 27.Find the HCF of 8 and 10.
  28. 28.Find the LCM of 12, 8 and 14.
  29. 29.Find the LCM of 9, 11 and 3.
  30. 30.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  31. 31.Find the HCF of 36 and 81.
  32. 32.Find the HCF of 14 and 6.
  33. 33.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  34. 34.Find the LCM of 10, 2 and 11.
  35. 35.Find the HCF of 40 and 15.
  36. 36.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  37. 37.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  38. 38.Find the HCF of 12 and 9.
  39. 39.Find the LCM of 13, 12 and 3.
  40. 40.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?

Answer key

  1. 12
  2. 27
  3. 7
  4. 6
  5. 288
  6. 200
  7. 32
  8. 70
  9. 3
  10. 9
  11. 40
  12. 84
  13. 126
  14. 2
  15. 11
  16. 36
  17. 3
  18. 36
  19. 36
  20. 5
  21. 180
  22. 70
  23. 45
  24. 36
  25. 4
  26. 182
  27. 2
  28. 168
  29. 99
  30. 45
  31. 9
  32. 2
  33. 25
  34. 110
  35. 5
  36. 15
  37. 40
  38. 3
  39. 156
  40. 48

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