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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 909 · 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 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  2. 2.Find the LCM of 14 and 16.
  3. 3.Find the HCF of 99 and 22.
  4. 4.Find the LCM of 20 and 8.
  5. 5.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  6. 6.Find the HCF of 77 and 55.
  7. 7.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  8. 8.Find the LCM of 20 and 35.
  9. 9.Find the LCM of 36 and 8.
  10. 10.Find the LCM of 20 and 12.
  11. 11.Find the HCF of 56 and 64.
  12. 12.Find the HCF of 44 and 55.
  13. 13.Find the HCF of 60 and 50.
  14. 14.Find the LCM of 12 and 21.
  15. 15.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  16. 16.Find the LCM of 9 and 12.
  17. 17.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  18. 18.Find the HCF of 70 and 126.
  19. 19.Find the HCF of 36 and 24.
  20. 20.Find the LCM of 4, 2 and 10.
  21. 21.Find the LCM of 5 and 7.
  22. 22.Find the LCM of 11, 14 and 2.
  23. 23.Find the LCM of 6 and 27.
  24. 24.Find the HCF of 54 and 48.
  25. 25.Find the LCM of 16 and 12.
  26. 26.Find the HCF of 18 and 4.
  27. 27.Find the LCM of 10, 15 and 7.
  28. 28.Find the LCM of 36 and 16.
  29. 29.Find the HCF of 26 and 91.
  30. 30.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  31. 31.Find the HCF of 21 and 18.
  32. 32.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  34. 34.Find the HCF of 40 and 35.
  35. 35.Find the HCF of 14 and 21.
  36. 36.Find the HCF of 55 and 44.
  37. 37.Find the LCM of 2, 5 and 11.
  38. 38.Find the LCM of 12 and 32.
  39. 39.Find the LCM of 5, 2 and 12.
  40. 40.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?

Answer key

  1. 6
  2. 112
  3. 11
  4. 40
  5. 36
  6. 11
  7. 35
  8. 140
  9. 72
  10. 60
  11. 8
  12. 11
  13. 10
  14. 84
  15. 40
  16. 36
  17. 24
  18. 14
  19. 12
  20. 20
  21. 35
  22. 154
  23. 54
  24. 6
  25. 48
  26. 2
  27. 210
  28. 144
  29. 13
  30. 81
  31. 3
  32. 36
  33. 16
  34. 5
  35. 7
  36. 11
  37. 110
  38. 96
  39. 60
  40. 21

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