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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 927 · 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 22 and 33.
  2. 2.Find the HCF of 50 and 90.
  3. 3.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  4. 4.Find the LCM of 3, 13 and 15.
  5. 5.Find the HCF of 112 and 42.
  6. 6.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  7. 7.Find the LCM of 28 and 16.
  8. 8.Find the LCM of 9 and 24.
  9. 9.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  10. 10.Find the HCF of 12 and 15.
  11. 11.Find the LCM of 15, 6 and 3.
  12. 12.Find the LCM of 3, 2 and 10.
  13. 13.Find the LCM of 10, 2 and 13.
  14. 14.Find the HCF of 54 and 30.
  15. 15.Find the HCF of 12 and 32.
  16. 16.Find the HCF of 18 and 24.
  17. 17.Find the LCM of 18 and 21.
  18. 18.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  19. 19.Find the HCF of 52 and 91.
  20. 20.Find the HCF of 12 and 10.
  21. 21.Find the HCF of 36 and 32.
  22. 22.Find the LCM of 24 and 18.
  23. 23.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  25. 25.Find the LCM of 6, 14 and 3.
  26. 26.Find the LCM of 5, 4 and 15.
  27. 27.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  28. 28.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  29. 29.Find the HCF of 32 and 12.
  30. 30.Find the LCM of 20 and 8.
  31. 31.Find the LCM of 12 and 10.
  32. 32.Find the LCM of 9, 12 and 4.
  33. 33.Find the LCM of 20 and 32.
  34. 34.Find the LCM of 24 and 28.
  35. 35.Find the HCF of 45 and 25.
  36. 36.Find the LCM of 4 and 3.
  37. 37.Find the LCM of 5, 12 and 10.
  38. 38.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  39. 39.Find the LCM of 14, 2 and 5.
  40. 40.Find the HCF of 75 and 30.

Answer key

  1. 11
  2. 10
  3. 25
  4. 195
  5. 14
  6. 21
  7. 112
  8. 72
  9. 24
  10. 3
  11. 30
  12. 30
  13. 130
  14. 6
  15. 4
  16. 6
  17. 126
  18. 35
  19. 13
  20. 2
  21. 4
  22. 72
  23. 24
  24. 14
  25. 42
  26. 60
  27. 24
  28. 15
  29. 4
  30. 40
  31. 60
  32. 36
  33. 160
  34. 168
  35. 5
  36. 12
  37. 60
  38. 40
  39. 70
  40. 15

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