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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 705 · 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 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  2. 2.Find the LCM of 8 and 7.
  3. 3.Find the HCF of 18 and 48.
  4. 4.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  5. 5.Find the LCM of 10, 2 and 13.
  6. 6.Find the HCF of 42 and 70.
  7. 7.Find the HCF of 104 and 39.
  8. 8.Find the LCM of 15, 12 and 6.
  9. 9.Find the LCM of 5, 2 and 12.
  10. 10.Find the HCF of 6 and 15.
  11. 11.Find the HCF of 20 and 12.
  12. 12.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  13. 13.Find the HCF of 20 and 30.
  14. 14.Find the LCM of 28 and 24.
  15. 15.Find the HCF of 8 and 14.
  16. 16.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  17. 17.Find the HCF of 98 and 42.
  18. 18.Find the LCM of 14 and 8.
  19. 19.Find the LCM of 9, 2 and 13.
  20. 20.Find the LCM of 21 and 6.
  21. 21.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  22. 22.Find the LCM of 4, 13 and 2.
  23. 23.Find the LCM of 25 and 20.
  24. 24.Find the HCF of 45 and 120.
  25. 25.Find the LCM of 11, 4 and 12.
  26. 26.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  27. 27.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  28. 28.Find the LCM of 21 and 18.
  29. 29.Find the LCM of 13, 8 and 4.
  30. 30.Find the HCF of 24 and 32.
  31. 31.Find the LCM of 15, 6 and 12.
  32. 32.Find the HCF of 24 and 9.
  33. 33.Find the LCM of 6, 4 and 15.
  34. 34.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  35. 35.Find the LCM of 4, 12 and 5.
  36. 36.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  37. 37.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  38. 38.Find the HCF of 50 and 20.
  39. 39.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  40. 40.Find the HCF of 56 and 98.

Answer key

  1. 28
  2. 56
  3. 6
  4. 21
  5. 130
  6. 14
  7. 13
  8. 60
  9. 60
  10. 3
  11. 4
  12. 45
  13. 10
  14. 168
  15. 2
  16. 14
  17. 14
  18. 56
  19. 234
  20. 42
  21. 24
  22. 52
  23. 100
  24. 15
  25. 132
  26. 27
  27. 35
  28. 126
  29. 104
  30. 8
  31. 60
  32. 3
  33. 60
  34. 30
  35. 60
  36. 16
  37. 28
  38. 10
  39. 10
  40. 14

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