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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 922 · 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 50 and 80.
  2. 2.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  3. 3.Find the HCF of 30 and 105.
  4. 4.Find the HCF of 45 and 18.
  5. 5.Find the LCM of 4, 10 and 9.
  6. 6.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?
  7. 7.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  8. 8.Find the LCM of 12 and 42.
  9. 9.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  10. 10.Find the HCF of 10 and 15.
  11. 11.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  12. 12.Find the HCF of 40 and 45.
  13. 13.Find the LCM of 15, 12 and 2.
  14. 14.Find the HCF of 84 and 36.
  15. 15.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  16. 16.Find the LCM of 13, 2 and 6.
  17. 17.Find the LCM of 2, 8 and 15.
  18. 18.Find the LCM of 11, 2 and 12.
  19. 19.Find the LCM of 12 and 15.
  20. 20.Find the LCM of 54 and 12.
  21. 21.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  22. 22.Find the HCF of 70 and 28.
  23. 23.Find the LCM of 3 and 5.
  24. 24.Find the HCF of 60 and 24.
  25. 25.Find the HCF of 6 and 8.
  26. 26.Find the HCF of 30 and 25.
  27. 27.Find the HCF of 4 and 6.
  28. 28.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  29. 29.Find the HCF of 12 and 14.
  30. 30.Find the LCM of 13, 2 and 10.
  31. 31.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  32. 32.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  33. 33.Find the LCM of 10, 14 and 5.
  34. 34.Find the HCF of 22 and 33.
  35. 35.Find the HCF of 63 and 49.
  36. 36.Find the LCM of 24 and 27.
  37. 37.Find the LCM of 16 and 10.
  38. 38.Find the HCF of 14 and 4.
  39. 39.Find the LCM of 5, 15 and 14.
  40. 40.Find the LCM of 3, 15 and 9.

Answer key

  1. 10
  2. 24
  3. 15
  4. 9
  5. 180
  6. 45
  7. 81
  8. 84
  9. 63
  10. 5
  11. 21
  12. 5
  13. 60
  14. 12
  15. 72
  16. 78
  17. 120
  18. 132
  19. 60
  20. 108
  21. 27
  22. 14
  23. 15
  24. 12
  25. 2
  26. 5
  27. 2
  28. 15
  29. 2
  30. 130
  31. 48
  32. 16
  33. 70
  34. 11
  35. 7
  36. 216
  37. 80
  38. 2
  39. 210
  40. 45

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