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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 399 · 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 LCM of 36 and 16.
  2. 2.Find the HCF of 14 and 4.
  3. 3.Find the HCF of 4 and 14.
  4. 4.Find the HCF of 60 and 36.
  5. 5.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  6. 6.Find the LCM of 21 and 6.
  7. 7.Find the HCF of 81 and 63.
  8. 8.Find the LCM of 14, 4 and 10.
  9. 9.Find the LCM of 4 and 9.
  10. 10.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  11. 11.Find the LCM of 5 and 2.
  12. 12.Find the LCM of 36 and 42.
  13. 13.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  14. 14.Find the HCF of 52 and 91.
  15. 15.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  16. 16.Find the HCF of 56 and 21.
  17. 17.Find the LCM of 35 and 15.
  18. 18.Find the LCM of 3, 9 and 2.
  19. 19.Find the HCF of 40 and 45.
  20. 20.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  21. 21.Find the LCM of 6, 7 and 9.
  22. 22.Find the LCM of 6, 2 and 9.
  23. 23.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  24. 24.Find the LCM of 4, 8 and 15.
  25. 25.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 36 and 30.
  29. 29.Find the LCM of 10, 2 and 15.
  30. 30.Find the LCM of 24 and 28.
  31. 31.Find the LCM of 2 and 7.
  32. 32.Find the HCF of 15 and 27.
  33. 33.Find the HCF of 40 and 32.
  34. 34.Find the HCF of 63 and 35.
  35. 35.Find the HCF of 105 and 60.
  36. 36.Find the HCF of 63 and 45.
  37. 37.Find the HCF of 105 and 135.
  38. 38.Find the LCM of 7, 10 and 6.
  39. 39.Find the HCF of 25 and 20.
  40. 40.Find the LCM of 5, 14 and 2.

Answer key

  1. 144
  2. 2
  3. 2
  4. 12
  5. 40
  6. 42
  7. 9
  8. 140
  9. 36
  10. 56
  11. 10
  12. 252
  13. 24
  14. 13
  15. 24
  16. 7
  17. 105
  18. 18
  19. 5
  20. 21
  21. 126
  22. 18
  23. 15
  24. 120
  25. 35
  26. 56
  27. 63
  28. 180
  29. 30
  30. 168
  31. 14
  32. 3
  33. 8
  34. 7
  35. 15
  36. 9
  37. 15
  38. 210
  39. 5
  40. 70

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