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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 856 · 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 80. One of the numbers is 20. What is the other number?
  2. 2.Find the LCM of 4, 8 and 15.
  3. 3.Find the HCF of 48 and 56.
  4. 4.Find the LCM of 12 and 27.
  5. 5.Find the HCF of 32 and 20.
  6. 6.Find the HCF of 120 and 105.
  7. 7.Find the LCM of 14, 2 and 6.
  8. 8.Find the LCM of 2 and 9.
  9. 9.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  11. 11.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  12. 12.Find the HCF of 35 and 63.
  13. 13.Find the HCF of 16 and 24.
  14. 14.Find the HCF of 55 and 44.
  15. 15.Find the HCF of 9 and 21.
  16. 16.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  17. 17.Find the LCM of 28 and 36.
  18. 18.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  19. 19.Find the HCF of 20 and 70.
  20. 20.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  22. 22.Find the HCF of 21 and 27.
  23. 23.Find the LCM of 15 and 20.
  24. 24.Find the LCM of 14, 7 and 6.
  25. 25.Find the HCF of 10 and 15.
  26. 26.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  28. 28.Find the LCM of 2, 9 and 8.
  29. 29.Find the LCM of 54 and 42.
  30. 30.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  31. 31.Find the LCM of 12, 5 and 8.
  32. 32.Find the HCF of 42 and 28.
  33. 33.Find the LCM of 8 and 5.
  34. 34.Find the LCM of 5 and 8.
  35. 35.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  36. 36.Find the LCM of 4, 14 and 2.
  37. 37.Find the LCM of 12 and 21.
  38. 38.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  39. 39.Find the LCM of 4 and 5.
  40. 40.Find the HCF of 10 and 6.

Answer key

  1. 16
  2. 120
  3. 8
  4. 108
  5. 4
  6. 15
  7. 42
  8. 18
  9. 12
  10. 4
  11. 48
  12. 7
  13. 8
  14. 11
  15. 3
  16. 35
  17. 252
  18. 45
  19. 10
  20. 28
  21. 14
  22. 3
  23. 60
  24. 42
  25. 5
  26. 18
  27. 72
  28. 72
  29. 378
  30. 16
  31. 120
  32. 14
  33. 40
  34. 40
  35. 14
  36. 28
  37. 84
  38. 42
  39. 20
  40. 2

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