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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 141 · 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 60 and 48.
  2. 2.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  3. 3.Find the LCM of 6 and 21.
  4. 4.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  5. 5.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  6. 6.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  7. 7.Find the HCF of 28 and 63.
  8. 8.Find the LCM of 21 and 15.
  9. 9.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  10. 10.Find the LCM of 18 and 8.
  11. 11.Find the HCF of 50 and 20.
  12. 12.Find the LCM of 8, 12 and 2.
  13. 13.Find the LCM of 15, 5 and 6.
  14. 14.Find the LCM of 10 and 6.
  15. 15.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  17. 17.Find the HCF of 35 and 21.
  18. 18.Find the LCM of 10, 6 and 15.
  19. 19.Find the HCF of 6 and 10.
  20. 20.Find the HCF of 45 and 18.
  21. 21.Find the HCF of 14 and 12.
  22. 22.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  23. 23.Find the LCM of 18 and 48.
  24. 24.Find the HCF of 30 and 135.
  25. 25.Find the HCF of 70 and 30.
  26. 26.Find the LCM of 2, 8 and 15.
  27. 27.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  28. 28.Find the HCF of 91 and 52.
  29. 29.Find the LCM of 7, 5 and 14.
  30. 30.Find the LCM of 8, 3 and 7.
  31. 31.Find the LCM of 3, 9 and 2.
  32. 32.Find the LCM of 6, 7 and 2.
  33. 33.Find the HCF of 33 and 88.
  34. 34.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  35. 35.Find the LCM of 24 and 28.
  36. 36.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  37. 37.Find the LCM of 35 and 40.
  38. 38.Find the LCM of 3, 12 and 10.
  39. 39.Find the HCF of 40 and 90.
  40. 40.Find the HCF of 70 and 98.

Answer key

  1. 12
  2. 36
  3. 42
  4. 25
  5. 56
  6. 20
  7. 7
  8. 105
  9. 30
  10. 72
  11. 10
  12. 24
  13. 30
  14. 30
  15. 64
  16. 21
  17. 7
  18. 30
  19. 2
  20. 9
  21. 2
  22. 6
  23. 144
  24. 15
  25. 10
  26. 120
  27. 35
  28. 13
  29. 70
  30. 168
  31. 18
  32. 42
  33. 11
  34. 72
  35. 168
  36. 6
  37. 280
  38. 60
  39. 10
  40. 14

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