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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 776 · 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.Find the LCM of 2, 13 and 6.
  2. 2.Find the HCF of 30 and 70.
  3. 3.Find the HCF of 65 and 26.
  4. 4.Find the HCF of 25 and 35.
  5. 5.Find the HCF of 105 and 30.
  6. 6.Find the LCM of 5, 4 and 15.
  7. 7.Find the LCM of 6 and 14.
  8. 8.Find the HCF of 36 and 84.
  9. 9.Find the HCF of 20 and 32.
  10. 10.Find the LCM of 2, 3 and 7.
  11. 11.Find the HCF of 35 and 45.
  12. 12.Find the HCF of 112 and 42.
  13. 13.Find the LCM of 36 and 20.
  14. 14.Find the LCM of 30 and 12.
  15. 15.Find the HCF of 81 and 18.
  16. 16.Find the LCM of 15, 8 and 3.
  17. 17.Find the LCM of 4 and 18.
  18. 18.Find the LCM of 6, 13 and 4.
  19. 19.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  20. 20.Find the LCM of 15, 3 and 12.
  21. 21.Find the LCM of 2, 15 and 6.
  22. 22.Find the LCM of 2, 12 and 7.
  23. 23.Find the HCF of 98 and 56.
  24. 24.Find the HCF of 32 and 72.
  25. 25.Find the LCM of 14, 7 and 3.
  26. 26.Find the HCF of 18 and 21.
  27. 27.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  28. 28.Find the HCF of 16 and 40.
  29. 29.Find the HCF of 20 and 36.
  30. 30.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  31. 31.Find the LCM of 8 and 28.
  32. 32.Find the HCF of 60 and 45.
  33. 33.Find the HCF of 42 and 30.
  34. 34.Find the LCM of 25 and 45.
  35. 35.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 81. What is the other number?
  36. 36.Find the LCM of 7, 2 and 4.
  37. 37.Find the HCF of 36 and 81.
  38. 38.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 11, 5 and 2.
  40. 40.Find the HCF of 65 and 117.

Answer key

  1. 78
  2. 10
  3. 13
  4. 5
  5. 15
  6. 60
  7. 42
  8. 12
  9. 4
  10. 42
  11. 5
  12. 14
  13. 180
  14. 60
  15. 9
  16. 120
  17. 36
  18. 156
  19. 40
  20. 60
  21. 30
  22. 84
  23. 14
  24. 8
  25. 42
  26. 3
  27. 16
  28. 8
  29. 4
  30. 12
  31. 56
  32. 15
  33. 6
  34. 225
  35. 36
  36. 28
  37. 9
  38. 16
  39. 110
  40. 13

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