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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 930 · 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 49 and 35.
  2. 2.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  3. 3.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  4. 4.Find the HCF of 42 and 70.
  5. 5.Find the LCM of 10 and 35.
  6. 6.Find the LCM of 35 and 20.
  7. 7.Find the HCF of 108 and 96.
  8. 8.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  9. 9.Find the LCM of 45 and 25.
  10. 10.Find the HCF of 30 and 135.
  11. 11.Find the LCM of 10, 7 and 3.
  12. 12.Find the HCF of 72 and 64.
  13. 13.Find the HCF of 12 and 28.
  14. 14.Find the LCM of 2, 14 and 3.
  15. 15.Find the LCM of 4 and 14.
  16. 16.Find the LCM of 9 and 6.
  17. 17.Find the LCM of 4, 6 and 2.
  18. 18.Find the HCF of 32 and 72.
  19. 19.Find the LCM of 9, 6 and 10.
  20. 20.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 25 and 30.
  22. 22.Find the HCF of 6 and 16.
  23. 23.Find the LCM of 13, 12 and 6.
  24. 24.Find the LCM of 2, 12 and 13.
  25. 25.Find the LCM of 30 and 36.
  26. 26.Find the HCF of 28 and 21.
  27. 27.Find the LCM of 9, 4 and 8.
  28. 28.Find the HCF of 65 and 26.
  29. 29.Find the HCF of 12 and 20.
  30. 30.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  31. 31.Find the HCF of 65 and 117.
  32. 32.Find the HCF of 60 and 72.
  33. 33.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  34. 34.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  35. 35.Find the HCF of 99 and 22.
  36. 36.Find the HCF of 70 and 60.
  37. 37.Find the LCM of 15 and 35.
  38. 38.Find the HCF of 48 and 108.
  39. 39.Find the HCF of 16 and 72.
  40. 40.Find the LCM of 3, 9 and 8.

Answer key

  1. 7
  2. 72
  3. 40
  4. 14
  5. 70
  6. 140
  7. 12
  8. 81
  9. 225
  10. 15
  11. 210
  12. 8
  13. 4
  14. 42
  15. 28
  16. 18
  17. 12
  18. 8
  19. 90
  20. 21
  21. 150
  22. 2
  23. 156
  24. 156
  25. 180
  26. 7
  27. 72
  28. 13
  29. 4
  30. 45
  31. 13
  32. 12
  33. 81
  34. 42
  35. 11
  36. 10
  37. 105
  38. 12
  39. 8
  40. 72

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