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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 81 · 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 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  2. 2.Find the LCM of 11, 3 and 9.
  3. 3.Find the LCM of 45 and 35.
  4. 4.Find the LCM of 12 and 8.
  5. 5.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  6. 6.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  7. 7.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  8. 8.Find the HCF of 63 and 27.
  9. 9.Find the LCM of 10, 5 and 14.
  10. 10.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  11. 11.Find the HCF of 20 and 12.
  12. 12.Find the LCM of 6, 12 and 13.
  13. 13.Find the HCF of 70 and 80.
  14. 14.Find the LCM of 16 and 12.
  15. 15.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  16. 16.Find the HCF of 49 and 28.
  17. 17.Find the LCM of 3 and 2.
  18. 18.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  19. 19.Find the LCM of 2, 3 and 5.
  20. 20.Find the LCM of 10 and 45.
  21. 21.Find the HCF of 126 and 56.
  22. 22.Find the LCM of 10 and 12.
  23. 23.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  24. 24.Find the HCF of 40 and 64.
  25. 25.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  26. 26.Find the LCM of 3, 2 and 12.
  27. 27.Find the LCM of 6, 3 and 7.
  28. 28.Find the LCM of 10, 5 and 12.
  29. 29.Find the HCF of 98 and 112.
  30. 30.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  31. 31.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  32. 32.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  33. 33.Find the HCF of 8 and 6.
  34. 34.Find the LCM of 7, 10 and 4.
  35. 35.Find the LCM of 12 and 27.
  36. 36.Find the LCM of 8, 7 and 3.
  37. 37.Find the HCF of 6 and 4.
  38. 38.Find the LCM of 5, 15 and 9.
  39. 39.Find the LCM of 24 and 27.
  40. 40.Find the HCF of 72 and 56.

Answer key

  1. 4
  2. 99
  3. 315
  4. 24
  5. 45
  6. 16
  7. 10
  8. 9
  9. 70
  10. 56
  11. 4
  12. 156
  13. 10
  14. 48
  15. 21
  16. 7
  17. 6
  18. 35
  19. 30
  20. 90
  21. 14
  22. 60
  23. 10
  24. 8
  25. 8
  26. 12
  27. 42
  28. 60
  29. 14
  30. 4
  31. 30
  32. 10
  33. 2
  34. 140
  35. 108
  36. 168
  37. 2
  38. 45
  39. 216
  40. 8

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