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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 939 · 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 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  2. 2.Find the LCM of 6 and 4.
  3. 3.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  5. 5.Find the LCM of 14, 6 and 9.
  6. 6.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  7. 7.Find the HCF of 70 and 80.
  8. 8.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  9. 9.Find the LCM of 2, 13 and 3.
  10. 10.Find the LCM of 3 and 7.
  11. 11.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  12. 12.Find the LCM of 15 and 12.
  13. 13.Find the LCM of 3 and 2.
  14. 14.Find the LCM of 4 and 14.
  15. 15.Find the LCM of 11, 3 and 7.
  16. 16.Find the LCM of 15, 10 and 9.
  17. 17.Find the HCF of 39 and 91.
  18. 18.Find the HCF of 117 and 52.
  19. 19.Find the HCF of 104 and 91.
  20. 20.Find the LCM of 14, 6 and 12.
  21. 21.Find the LCM of 12, 4 and 2.
  22. 22.Find the LCM of 35 and 25.
  23. 23.Find the HCF of 42 and 18.
  24. 24.Find the HCF of 27 and 12.
  25. 25.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  26. 26.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  27. 27.Find the LCM of 35 and 45.
  28. 28.Find the LCM of 15, 3 and 2.
  29. 29.Find the LCM of 14 and 6.
  30. 30.Find the LCM of 12 and 54.
  31. 31.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  32. 32.Find the LCM of 45 and 10.
  33. 33.Find the HCF of 45 and 30.
  34. 34.Find the LCM of 48 and 42.
  35. 35.Find the HCF of 35 and 10.
  36. 36.Find the HCF of 30 and 12.
  37. 37.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  38. 38.Find the HCF of 48 and 56.
  39. 39.Find the HCF of 55 and 99.
  40. 40.Find the LCM of 2 and 7.

Answer key

  1. 63
  2. 12
  3. 9
  4. 56
  5. 126
  6. 42
  7. 10
  8. 40
  9. 78
  10. 21
  11. 18
  12. 60
  13. 6
  14. 28
  15. 231
  16. 90
  17. 13
  18. 13
  19. 13
  20. 84
  21. 12
  22. 175
  23. 6
  24. 3
  25. 32
  26. 9
  27. 315
  28. 30
  29. 42
  30. 108
  31. 25
  32. 90
  33. 15
  34. 336
  35. 5
  36. 6
  37. 18
  38. 8
  39. 11
  40. 14

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