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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 52 · 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 5, 7 and 4.
  2. 2.Find the HCF of 33 and 22.
  3. 3.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  4. 4.Find the LCM of 14, 3 and 2.
  5. 5.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  6. 6.Find the LCM of 12, 14 and 6.
  7. 7.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  8. 8.Find the HCF of 81 and 18.
  9. 9.Find the HCF of 24 and 20.
  10. 10.Find the LCM of 9 and 6.
  11. 11.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  12. 12.Find the HCF of 12 and 16.
  13. 13.Find the HCF of 36 and 32.
  14. 14.Find the LCM of 2, 6 and 15.
  15. 15.Find the HCF of 18 and 30.
  16. 16.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  17. 17.Find the LCM of 30 and 35.
  18. 18.Find the LCM of 28 and 24.
  19. 19.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  20. 20.Find the HCF of 40 and 70.
  21. 21.Find the LCM of 30 and 48.
  22. 22.Find the LCM of 2, 5 and 7.
  23. 23.Find the HCF of 98 and 42.
  24. 24.Find the LCM of 3, 4 and 2.
  25. 25.Find the HCF of 20 and 70.
  26. 26.Find the HCF of 16 and 6.
  27. 27.Find the LCM of 24 and 54.
  28. 28.Find the HCF of 35 and 49.
  29. 29.Find the HCF of 6 and 4.
  30. 30.Find the HCF of 45 and 105.
  31. 31.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  32. 32.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 35 and 45.
  34. 34.Find the HCF of 21 and 6.
  35. 35.Find the LCM of 4, 8 and 11.
  36. 36.Find the LCM of 4, 3 and 13.
  37. 37.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  38. 38.Find the LCM of 10 and 4.
  39. 39.Find the HCF of 70 and 40.
  40. 40.Find the HCF of 112 and 98.

Answer key

  1. 140
  2. 11
  3. 40
  4. 42
  5. 56
  6. 84
  7. 35
  8. 9
  9. 4
  10. 18
  11. 8
  12. 4
  13. 4
  14. 30
  15. 6
  16. 12
  17. 210
  18. 168
  19. 16
  20. 10
  21. 240
  22. 70
  23. 14
  24. 12
  25. 10
  26. 2
  27. 216
  28. 7
  29. 2
  30. 15
  31. 32
  32. 20
  33. 315
  34. 3
  35. 88
  36. 156
  37. 30
  38. 20
  39. 10
  40. 14

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