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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 111 · 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 81 and 45.
  2. 2.Find the HCF of 6 and 14.
  3. 3.Find the LCM of 8 and 12.
  4. 4.Find the LCM of 2, 5 and 10.
  5. 5.Find the LCM of 4 and 14.
  6. 6.Find the HCF of 104 and 65.
  7. 7.Find the LCM of 8, 14 and 2.
  8. 8.Find the LCM of 12, 3 and 2.
  9. 9.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  10. 10.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  11. 11.Find the LCM of 18 and 4.
  12. 12.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  13. 13.Find the LCM of 10 and 8.
  14. 14.Find the LCM of 8 and 36.
  15. 15.Find the LCM of 4, 9 and 10.
  16. 16.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  17. 17.Find the LCM of 14 and 4.
  18. 18.Find the LCM of 45 and 10.
  19. 19.Find the LCM of 2, 8 and 3.
  20. 20.Find the HCF of 77 and 99.
  21. 21.Find the LCM of 5, 10 and 14.
  22. 22.Find the LCM of 10 and 45.
  23. 23.Find the HCF of 18 and 24.
  24. 24.Find the HCF of 28 and 16.
  25. 25.Find the LCM of 35 and 10.
  26. 26.Find the LCM of 12, 9 and 4.
  27. 27.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  28. 28.Find the LCM of 7, 8 and 6.
  29. 29.Find the HCF of 70 and 98.
  30. 30.Find the LCM of 42 and 30.
  31. 31.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  32. 32.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  33. 33.Find the LCM of 6, 10 and 5.
  34. 34.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  35. 35.Find the HCF of 49 and 28.
  36. 36.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  37. 37.Find the HCF of 36 and 8.
  38. 38.Find the HCF of 63 and 81.
  39. 39.Find the HCF of 25 and 10.
  40. 40.Find the LCM of 12 and 10.

Answer key

  1. 9
  2. 2
  3. 24
  4. 10
  5. 28
  6. 13
  7. 56
  8. 12
  9. 16
  10. 15
  11. 36
  12. 42
  13. 40
  14. 72
  15. 180
  16. 27
  17. 28
  18. 90
  19. 24
  20. 11
  21. 70
  22. 90
  23. 6
  24. 4
  25. 70
  26. 36
  27. 20
  28. 168
  29. 14
  30. 210
  31. 36
  32. 20
  33. 30
  34. 45
  35. 7
  36. 18
  37. 4
  38. 9
  39. 5
  40. 60

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