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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 354 · 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 12 and 28.
  2. 2.Find the LCM of 7 and 5.
  3. 3.Find the LCM of 3, 12 and 14.
  4. 4.Find the LCM of 5, 10 and 14.
  5. 5.Find the HCF of 10 and 8.
  6. 6.Find the LCM of 10 and 8.
  7. 7.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  8. 8.Find the LCM of 15 and 24.
  9. 9.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  10. 10.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  11. 11.Find the LCM of 6 and 21.
  12. 12.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  13. 13.Find the HCF of 27 and 45.
  14. 14.Find the LCM of 13, 10 and 2.
  15. 15.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 20. What is the other number?
  16. 16.Find the HCF of 15 and 21.
  17. 17.Find the LCM of 15, 7 and 2.
  18. 18.Find the HCF of 50 and 80.
  19. 19.Find the HCF of 36 and 16.
  20. 20.Find the LCM of 6, 8 and 2.
  21. 21.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  22. 22.Find the LCM of 4, 11 and 6.
  23. 23.Find the LCM of 2 and 9.
  24. 24.Find the LCM of 8 and 14.
  25. 25.Find the LCM of 14 and 4.
  26. 26.Find the LCM of 6 and 14.
  27. 27.Find the LCM of 14 and 10.
  28. 28.Find the LCM of 4 and 18.
  29. 29.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  30. 30.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  31. 31.Find the LCM of 35 and 20.
  32. 32.Find the LCM of 3 and 2.
  33. 33.Find the LCM of 12 and 15.
  34. 34.Find the LCM of 12 and 42.
  35. 35.Find the LCM of 7, 4 and 3.
  36. 36.Find the HCF of 126 and 112.
  37. 37.Find the HCF of 32 and 12.
  38. 38.Find the LCM of 3, 13 and 15.
  39. 39.Find the HCF of 78 and 65.
  40. 40.Find the HCF of 36 and 84.

Answer key

  1. 4
  2. 35
  3. 84
  4. 70
  5. 2
  6. 40
  7. 28
  8. 120
  9. 12
  10. 54
  11. 42
  12. 14
  13. 9
  14. 130
  15. 28
  16. 3
  17. 210
  18. 10
  19. 4
  20. 24
  21. 24
  22. 132
  23. 18
  24. 56
  25. 28
  26. 42
  27. 70
  28. 36
  29. 45
  30. 10
  31. 140
  32. 6
  33. 60
  34. 84
  35. 84
  36. 14
  37. 4
  38. 195
  39. 13
  40. 12

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