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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 837 · 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 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  2. 2.Find the HCF of 24 and 32.
  3. 3.Find the LCM of 10, 7 and 14.
  4. 4.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  5. 5.Find the LCM of 13, 12 and 2.
  6. 6.Find the LCM of 12, 10 and 4.
  7. 7.Find the LCM of 6 and 16.
  8. 8.Find the HCF of 28 and 126.
  9. 9.Find the LCM of 5 and 3.
  10. 10.Find the HCF of 40 and 50.
  11. 11.Find the LCM of 11, 6 and 2.
  12. 12.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  13. 13.Find the LCM of 2, 6 and 12.
  14. 14.Find the LCM of 3, 6 and 7.
  15. 15.Find the LCM of 12 and 16.
  16. 16.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  17. 17.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  18. 18.Find the HCF of 48 and 30.
  19. 19.Find the HCF of 32 and 12.
  20. 20.Find the LCM of 8, 12 and 7.
  21. 21.Find the LCM of 10, 9 and 4.
  22. 22.Find the LCM of 3, 6 and 11.
  23. 23.Find the HCF of 30 and 70.
  24. 24.Find the HCF of 4 and 10.
  25. 25.Find the LCM of 3, 12 and 13.
  26. 26.Find the HCF of 45 and 54.
  27. 27.Find the LCM of 12 and 9.
  28. 28.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  29. 29.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 24 and 54.
  31. 31.Find the LCM of 28 and 8.
  32. 32.Find the HCF of 91 and 65.
  33. 33.Find the HCF of 27 and 72.
  34. 34.Find the HCF of 8 and 20.
  35. 35.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  36. 36.Find the LCM of 15, 5 and 4.
  37. 37.Find the LCM of 14, 7 and 2.
  38. 38.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  39. 39.Find the LCM of 16 and 14.
  40. 40.Find the LCM of 2, 8 and 14.

Answer key

  1. 10
  2. 8
  3. 70
  4. 40
  5. 156
  6. 60
  7. 48
  8. 14
  9. 15
  10. 10
  11. 66
  12. 16
  13. 12
  14. 42
  15. 48
  16. 18
  17. 27
  18. 6
  19. 4
  20. 168
  21. 180
  22. 66
  23. 10
  24. 2
  25. 156
  26. 9
  27. 36
  28. 15
  29. 45
  30. 216
  31. 56
  32. 13
  33. 9
  34. 4
  35. 36
  36. 60
  37. 14
  38. 15
  39. 112
  40. 56

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