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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 954 · 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 56 and 16.
  2. 2.Find the LCM of 6, 10 and 14.
  3. 3.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  5. 5.Find the LCM of 28 and 8.
  6. 6.Find the LCM of 8, 4 and 5.
  7. 7.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  8. 8.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  9. 9.Find the LCM of 12 and 8.
  10. 10.Find the LCM of 8 and 12.
  11. 11.Find the HCF of 88 and 99.
  12. 12.Find the HCF of 70 and 98.
  13. 13.Find the LCM of 18 and 8.
  14. 14.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  15. 15.Find the LCM of 7, 6 and 4.
  16. 16.Find the LCM of 9 and 6.
  17. 17.Find the HCF of 42 and 54.
  18. 18.Find the LCM of 5 and 3.
  19. 19.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  20. 20.Find the LCM of 9, 4 and 8.
  21. 21.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  22. 22.Find the LCM of 16 and 18.
  23. 23.Find the HCF of 28 and 63.
  24. 24.Find the LCM of 6, 8 and 3.
  25. 25.Find the LCM of 15, 6 and 9.
  26. 26.Find the LCM of 36 and 28.
  27. 27.Find the HCF of 28 and 35.
  28. 28.Find the LCM of 3, 12 and 7.
  29. 29.Find the LCM of 3 and 5.
  30. 30.Find the LCM of 3, 7 and 14.
  31. 31.Find the LCM of 9 and 12.
  32. 32.Find the LCM of 10 and 8.
  33. 33.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  34. 34.Find the LCM of 20 and 28.
  35. 35.Find the LCM of 24 and 27.
  36. 36.Find the LCM of 12 and 14.
  37. 37.Find the LCM of 21 and 9.
  38. 38.Find the LCM of 15 and 10.
  39. 39.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  40. 40.Find the LCM of 5, 4 and 6.

Answer key

  1. 8
  2. 210
  3. 24
  4. 20
  5. 56
  6. 40
  7. 72
  8. 15
  9. 24
  10. 24
  11. 11
  12. 14
  13. 72
  14. 14
  15. 84
  16. 18
  17. 6
  18. 15
  19. 14
  20. 72
  21. 56
  22. 144
  23. 7
  24. 24
  25. 90
  26. 252
  27. 7
  28. 84
  29. 15
  30. 42
  31. 36
  32. 40
  33. 54
  34. 140
  35. 216
  36. 84
  37. 63
  38. 30
  39. 35
  40. 60

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