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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 988 · 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 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  2. 2.Find the HCF of 81 and 45.
  3. 3.Find the HCF of 16 and 10.
  4. 4.Find the LCM of 2, 9 and 15.
  5. 5.Find the LCM of 9, 6 and 7.
  6. 6.Find the HCF of 20 and 25.
  7. 7.Find the LCM of 15, 5 and 10.
  8. 8.Find the LCM of 18 and 16.
  9. 9.Find the LCM of 40 and 35.
  10. 10.Find the HCF of 45 and 27.
  11. 11.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  12. 12.Find the LCM of 6, 13 and 3.
  13. 13.Find the HCF of 12 and 30.
  14. 14.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  15. 15.Find the HCF of 44 and 33.
  16. 16.Find the LCM of 24 and 28.
  17. 17.Find the HCF of 24 and 28.
  18. 18.Find the LCM of 5, 2 and 7.
  19. 19.Find the LCM of 45 and 20.
  20. 20.Find the HCF of 52 and 117.
  21. 21.Find the HCF of 12 and 32.
  22. 22.Find the HCF of 18 and 8.
  23. 23.Find the LCM of 3, 4 and 12.
  24. 24.Find the HCF of 105 and 45.
  25. 25.Find the LCM of 9, 14 and 6.
  26. 26.Find the LCM of 9, 2 and 13.
  27. 27.Find the LCM of 4 and 9.
  28. 28.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  29. 29.Find the HCF of 30 and 12.
  30. 30.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  31. 31.Find the HCF of 45 and 10.
  32. 32.Find the LCM of 15, 10 and 2.
  33. 33.Find the HCF of 33 and 22.
  34. 34.Find the LCM of 30 and 48.
  35. 35.Find the HCF of 20 and 32.
  36. 36.Find the LCM of 3, 10 and 8.
  37. 37.Find the LCM of 16 and 14.
  38. 38.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  39. 39.Find the LCM of 16 and 6.
  40. 40.Find the LCM of 9, 5 and 6.

Answer key

  1. 72
  2. 9
  3. 2
  4. 90
  5. 126
  6. 5
  7. 30
  8. 144
  9. 280
  10. 9
  11. 20
  12. 78
  13. 6
  14. 18
  15. 11
  16. 168
  17. 4
  18. 70
  19. 180
  20. 13
  21. 4
  22. 2
  23. 12
  24. 15
  25. 126
  26. 234
  27. 36
  28. 64
  29. 6
  30. 40
  31. 5
  32. 30
  33. 11
  34. 240
  35. 4
  36. 120
  37. 112
  38. 16
  39. 48
  40. 90

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