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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 110 · 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 28 and 63.
  2. 2.Find the LCM of 10 and 15.
  3. 3.Find the HCF of 56 and 21.
  4. 4.Find the LCM of 36 and 28.
  5. 5.Find the LCM of 8, 4 and 10.
  6. 6.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  7. 7.Find the LCM of 2 and 3.
  8. 8.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  9. 9.Find the LCM of 32 and 20.
  10. 10.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  11. 11.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  12. 12.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  13. 13.Find the LCM of 5, 3 and 13.
  14. 14.Find the LCM of 3, 10 and 15.
  15. 15.Find the LCM of 35 and 25.
  16. 16.Find the HCF of 12 and 28.
  17. 17.Find the HCF of 35 and 42.
  18. 18.Find the HCF of 18 and 15.
  19. 19.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  21. 21.Find the HCF of 75 and 135.
  22. 22.Find the HCF of 30 and 35.
  23. 23.Find the LCM of 28 and 36.
  24. 24.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  25. 25.Find the LCM of 20 and 35.
  26. 26.Find the LCM of 8, 2 and 15.
  27. 27.Find the HCF of 91 and 117.
  28. 28.Find the HCF of 28 and 8.
  29. 29.Find the LCM of 8, 2 and 9.
  30. 30.Find the HCF of 14 and 8.
  31. 31.Find the LCM of 48 and 30.
  32. 32.Find the HCF of 36 and 8.
  33. 33.Find the HCF of 12 and 42.
  34. 34.Find the LCM of 3, 10 and 14.
  35. 35.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  37. 37.Find the LCM of 6, 15 and 9.
  38. 38.Find the LCM of 12, 10 and 9.
  39. 39.Find the HCF of 48 and 60.
  40. 40.Find the LCM of 11, 2 and 3.

Answer key

  1. 7
  2. 30
  3. 7
  4. 252
  5. 40
  6. 8
  7. 6
  8. 42
  9. 160
  10. 10
  11. 8
  12. 21
  13. 195
  14. 30
  15. 175
  16. 4
  17. 7
  18. 3
  19. 72
  20. 72
  21. 15
  22. 5
  23. 252
  24. 32
  25. 140
  26. 120
  27. 13
  28. 4
  29. 72
  30. 2
  31. 240
  32. 4
  33. 6
  34. 210
  35. 63
  36. 6
  37. 90
  38. 180
  39. 12
  40. 66

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