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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 847 · 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 196. One of the numbers is 28. What is the other number?
  2. 2.Find the HCF of 45 and 105.
  3. 3.Find the HCF of 77 and 33.
  4. 4.Find the LCM of 3 and 4.
  5. 5.Find the LCM of 4 and 18.
  6. 6.Find the LCM of 18 and 15.
  7. 7.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  8. 8.Find the HCF of 54 and 42.
  9. 9.Find the LCM of 6, 14 and 15.
  10. 10.Find the LCM of 5, 7 and 14.
  11. 11.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  12. 12.Find the HCF of 15 and 27.
  13. 13.Find the LCM of 12 and 21.
  14. 14.Find the LCM of 3, 2 and 5.
  15. 15.Find the LCM of 5, 14 and 4.
  16. 16.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  17. 17.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  18. 18.Find the HCF of 108 and 24.
  19. 19.Find the HCF of 40 and 64.
  20. 20.Find the HCF of 24 and 32.
  21. 21.Find the LCM of 15, 3 and 2.
  22. 22.Find the LCM of 13, 6 and 9.
  23. 23.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  25. 25.Find the HCF of 8 and 12.
  26. 26.Find the LCM of 2, 14 and 12.
  27. 27.Find the HCF of 26 and 91.
  28. 28.Find the LCM of 11, 4 and 12.
  29. 29.Find the LCM of 10 and 15.
  30. 30.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  31. 31.Find the LCM of 11, 9 and 2.
  32. 32.Find the LCM of 14 and 6.
  33. 33.Find the HCF of 112 and 70.
  34. 34.Find the HCF of 42 and 12.
  35. 35.Find the LCM of 3, 2 and 15.
  36. 36.Find the HCF of 77 and 44.
  37. 37.Find the HCF of 15 and 25.
  38. 38.Find the HCF of 22 and 77.
  39. 39.Find the HCF of 39 and 26.
  40. 40.Find the LCM of 15, 8 and 2.

Answer key

  1. 49
  2. 15
  3. 11
  4. 12
  5. 36
  6. 90
  7. 12
  8. 6
  9. 210
  10. 70
  11. 35
  12. 3
  13. 84
  14. 30
  15. 140
  16. 32
  17. 24
  18. 12
  19. 8
  20. 8
  21. 30
  22. 234
  23. 30
  24. 15
  25. 4
  26. 84
  27. 13
  28. 132
  29. 30
  30. 21
  31. 198
  32. 42
  33. 14
  34. 6
  35. 30
  36. 11
  37. 5
  38. 11
  39. 13
  40. 120

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