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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 307 · 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 15 and 35.
  2. 2.Find the LCM of 5, 10 and 15.
  3. 3.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  4. 4.Find the HCF of 35 and 42.
  5. 5.Find the LCM of 14, 7 and 9.
  6. 6.Find the LCM of 8, 14 and 12.
  7. 7.Find the HCF of 44 and 55.
  8. 8.Find the LCM of 13, 3 and 4.
  9. 9.Find the LCM of 7, 2 and 8.
  10. 10.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  11. 11.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?
  12. 12.Find the LCM of 8, 3 and 6.
  13. 13.Find the LCM of 10, 4 and 12.
  14. 14.Find the LCM of 8, 12 and 10.
  15. 15.Find the LCM of 14, 7 and 10.
  16. 16.Find the LCM of 2 and 3.
  17. 17.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  18. 18.Find the LCM of 7, 14 and 15.
  19. 19.Find the LCM of 8 and 9.
  20. 20.Find the LCM of 3, 7 and 12.
  21. 21.Find the LCM of 4 and 18.
  22. 22.Find the LCM of 4, 14 and 10.
  23. 23.Find the HCF of 36 and 24.
  24. 24.Find the LCM of 7 and 2.
  25. 25.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 2, 7 and 9.
  27. 27.Find the LCM of 18 and 4.
  28. 28.Find the LCM of 5, 4 and 3.
  29. 29.Find the LCM of 8, 14 and 2.
  30. 30.Find the HCF of 36 and 84.
  31. 31.Find the LCM of 24 and 28.
  32. 32.Find the LCM of 4, 2 and 9.
  33. 33.Find the LCM of 9, 3 and 13.
  34. 34.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  35. 35.Find the LCM of 7, 15 and 10.
  36. 36.Find the HCF of 30 and 35.
  37. 37.Find the HCF of 70 and 60.
  38. 38.Find the HCF of 108 and 84.
  39. 39.Find the HCF of 36 and 27.
  40. 40.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?

Answer key

  1. 5
  2. 30
  3. 49
  4. 7
  5. 126
  6. 168
  7. 11
  8. 156
  9. 56
  10. 27
  11. 56
  12. 24
  13. 60
  14. 120
  15. 70
  16. 6
  17. 14
  18. 210
  19. 72
  20. 84
  21. 36
  22. 140
  23. 12
  24. 14
  25. 25
  26. 126
  27. 36
  28. 60
  29. 56
  30. 12
  31. 168
  32. 36
  33. 117
  34. 24
  35. 210
  36. 5
  37. 10
  38. 12
  39. 9
  40. 48

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