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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 872 · 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 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  2. 2.Find the HCF of 24 and 36.
  3. 3.Find the LCM of 12 and 28.
  4. 4.Find the HCF of 98 and 56.
  5. 5.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  6. 6.Find the LCM of 2, 12 and 5.
  7. 7.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  8. 8.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  9. 9.Find the LCM of 15 and 24.
  10. 10.Find the LCM of 14, 7 and 5.
  11. 11.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  12. 12.Find the LCM of 8 and 5.
  13. 13.Find the LCM of 3, 10 and 7.
  14. 14.Find the LCM of 12 and 32.
  15. 15.Find the HCF of 91 and 26.
  16. 16.Find the LCM of 5 and 7.
  17. 17.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  18. 18.Find the LCM of 2, 12 and 6.
  19. 19.Find the HCF of 6 and 9.
  20. 20.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  21. 21.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  22. 22.Find the LCM of 35 and 30.
  23. 23.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  25. 25.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  26. 26.Find the LCM of 2, 15 and 10.
  27. 27.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  28. 28.Find the LCM of 12, 6 and 3.
  29. 29.Find the HCF of 70 and 90.
  30. 30.Find the LCM of 42 and 24.
  31. 31.Find the LCM of 18 and 8.
  32. 32.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  33. 33.Find the HCF of 21 and 6.
  34. 34.Find the LCM of 2, 6 and 13.
  35. 35.Find the HCF of 42 and 12.
  36. 36.Find the LCM of 5, 14 and 4.
  37. 37.Find the LCM of 4, 5 and 6.
  38. 38.Find the HCF of 60 and 96.
  39. 39.Find the HCF of 15 and 20.
  40. 40.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?

Answer key

  1. 72
  2. 12
  3. 84
  4. 14
  5. 28
  6. 60
  7. 18
  8. 6
  9. 120
  10. 70
  11. 45
  12. 40
  13. 210
  14. 96
  15. 13
  16. 35
  17. 40
  18. 12
  19. 3
  20. 30
  21. 45
  22. 210
  23. 20
  24. 27
  25. 8
  26. 30
  27. 30
  28. 12
  29. 10
  30. 168
  31. 72
  32. 21
  33. 3
  34. 78
  35. 6
  36. 140
  37. 60
  38. 12
  39. 5
  40. 25

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