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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 959 · 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 HCF of 16 and 28.
  2. 2.Find the LCM of 9 and 7.
  3. 3.Find the LCM of 6, 8 and 3.
  4. 4.Find the HCF of 21 and 14.
  5. 5.Find the HCF of 77 and 33.
  6. 6.Find the HCF of 18 and 21.
  7. 7.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  8. 8.Find the HCF of 99 and 88.
  9. 9.Find the LCM of 15 and 40.
  10. 10.Find the LCM of 25 and 45.
  11. 11.Find the LCM of 16 and 12.
  12. 12.Find the LCM of 54 and 24.
  13. 13.Find the HCF of 14 and 8.
  14. 14.Find the LCM of 12, 6 and 8.
  15. 15.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  16. 16.Find the LCM of 5 and 4.
  17. 17.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 45 and 40.
  19. 19.Find the LCM of 3, 12 and 5.
  20. 20.Find the HCF of 55 and 77.
  21. 21.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  22. 22.Find the LCM of 9, 5 and 4.
  23. 23.Find the LCM of 12 and 42.
  24. 24.Find the HCF of 99 and 55.
  25. 25.Find the HCF of 18 and 27.
  26. 26.Find the LCM of 40 and 25.
  27. 27.Find the LCM of 28 and 36.
  28. 28.Find the HCF of 12 and 15.
  29. 29.Find the LCM of 12 and 54.
  30. 30.Find the HCF of 70 and 42.
  31. 31.Find the HCF of 60 and 24.
  32. 32.Find the LCM of 6, 2 and 8.
  33. 33.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  34. 34.Find the HCF of 60 and 96.
  35. 35.Find the LCM of 12, 2 and 10.
  36. 36.Find the LCM of 14, 6 and 9.
  37. 37.Find the LCM of 30 and 42.
  38. 38.Find the LCM of 6 and 21.
  39. 39.Find the HCF of 45 and 36.
  40. 40.Find the HCF of 25 and 10.

Answer key

  1. 4
  2. 63
  3. 24
  4. 7
  5. 11
  6. 3
  7. 12
  8. 11
  9. 120
  10. 225
  11. 48
  12. 216
  13. 2
  14. 24
  15. 21
  16. 20
  17. 25
  18. 5
  19. 60
  20. 11
  21. 18
  22. 180
  23. 84
  24. 11
  25. 9
  26. 200
  27. 252
  28. 3
  29. 108
  30. 14
  31. 12
  32. 24
  33. 18
  34. 12
  35. 60
  36. 126
  37. 210
  38. 42
  39. 9
  40. 5

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