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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 319 · 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 48 and 60.
  2. 2.Find the HCF of 91 and 117.
  3. 3.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  4. 4.Find the LCM of 3 and 8.
  5. 5.Find the LCM of 8, 4 and 15.
  6. 6.Find the HCF of 49 and 35.
  7. 7.Find the LCM of 28 and 20.
  8. 8.Find the HCF of 35 and 21.
  9. 9.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  10. 10.Find the HCF of 126 and 98.
  11. 11.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  12. 12.Find the LCM of 14 and 6.
  13. 13.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  14. 14.Find the HCF of 70 and 28.
  15. 15.Find the LCM of 20 and 24.
  16. 16.Find the LCM of 24 and 28.
  17. 17.Find the LCM of 6, 12 and 8.
  18. 18.Find the LCM of 12, 2 and 8.
  19. 19.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  20. 20.Find the LCM of 2, 5 and 3.
  21. 21.Find the LCM of 14, 7 and 12.
  22. 22.Find the HCF of 15 and 27.
  23. 23.Find the LCM of 28 and 16.
  24. 24.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  25. 25.Find the HCF of 40 and 32.
  26. 26.Find the HCF of 56 and 70.
  27. 27.Find the LCM of 12 and 32.
  28. 28.Find the LCM of 2, 10 and 13.
  29. 29.Find the LCM of 7, 3 and 10.
  30. 30.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 54. What is the other number?
  31. 31.Find the HCF of 14 and 4.
  32. 32.Find the HCF of 49 and 28.
  33. 33.Find the LCM of 3, 5 and 4.
  34. 34.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  35. 35.Find the LCM of 15 and 24.
  36. 36.Find the LCM of 12 and 16.
  37. 37.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  38. 38.Find the HCF of 84 and 36.
  39. 39.Find the HCF of 28 and 36.
  40. 40.Find the LCM of 45 and 35.

Answer key

  1. 12
  2. 13
  3. 45
  4. 24
  5. 120
  6. 7
  7. 140
  8. 7
  9. 20
  10. 14
  11. 18
  12. 42
  13. 6
  14. 14
  15. 120
  16. 168
  17. 24
  18. 24
  19. 8
  20. 30
  21. 84
  22. 3
  23. 112
  24. 49
  25. 8
  26. 14
  27. 96
  28. 130
  29. 210
  30. 30
  31. 2
  32. 7
  33. 60
  34. 18
  35. 120
  36. 48
  37. 35
  38. 12
  39. 4
  40. 315

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