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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 798 · 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 99 and 55.
  2. 2.Find the HCF of 8 and 18.
  3. 3.Find the LCM of 10 and 12.
  4. 4.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  5. 5.Find the HCF of 21 and 18.
  6. 6.Find the HCF of 45 and 10.
  7. 7.Find the LCM of 15 and 21.
  8. 8.Find the HCF of 20 and 12.
  9. 9.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  10. 10.Find the HCF of 80 and 90.
  11. 11.Find the HCF of 49 and 28.
  12. 12.Find the HCF of 117 and 26.
  13. 13.Find the LCM of 28 and 12.
  14. 14.Find the LCM of 20 and 32.
  15. 15.Find the HCF of 15 and 24.
  16. 16.Find the LCM of 2, 9 and 12.
  17. 17.Find the LCM of 12, 3 and 2.
  18. 18.Find the HCF of 88 and 33.
  19. 19.Find the LCM of 3, 4 and 7.
  20. 20.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  21. 21.Find the LCM of 7, 14 and 12.
  22. 22.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  23. 23.Find the HCF of 36 and 27.
  24. 24.Find the HCF of 28 and 32.
  25. 25.Find the LCM of 5, 11 and 4.
  26. 26.Find the LCM of 9, 2 and 8.
  27. 27.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  28. 28.Find the HCF of 72 and 40.
  29. 29.Find the LCM of 15 and 6.
  30. 30.Find the LCM of 28 and 36.
  31. 31.Find the LCM of 10 and 14.
  32. 32.Find the HCF of 52 and 39.
  33. 33.Find the LCM of 6 and 10.
  34. 34.Find the LCM of 10, 15 and 9.
  35. 35.Find the LCM of 18 and 12.
  36. 36.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  37. 37.Find the LCM of 10, 3 and 4.
  38. 38.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  39. 39.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  40. 40.Find the HCF of 72 and 60.

Answer key

  1. 11
  2. 2
  3. 60
  4. 25
  5. 3
  6. 5
  7. 105
  8. 4
  9. 48
  10. 10
  11. 7
  12. 13
  13. 84
  14. 160
  15. 3
  16. 36
  17. 12
  18. 11
  19. 84
  20. 12
  21. 84
  22. 35
  23. 9
  24. 4
  25. 220
  26. 72
  27. 64
  28. 8
  29. 30
  30. 252
  31. 70
  32. 13
  33. 30
  34. 90
  35. 36
  36. 21
  37. 60
  38. 18
  39. 63
  40. 12

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