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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 536 · 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 49.
  2. 2.Find the HCF of 104 and 39.
  3. 3.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  4. 4.Find the HCF of 21 and 6.
  5. 5.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  6. 6.Find the LCM of 35 and 45.
  7. 7.Find the LCM of 2, 7 and 4.
  8. 8.Find the LCM of 27 and 6.
  9. 9.Find the LCM of 40 and 35.
  10. 10.Find the HCF of 65 and 104.
  11. 11.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  12. 12.Find the LCM of 14, 10 and 4.
  13. 13.Find the LCM of 2, 11 and 9.
  14. 14.Find the LCM of 15, 2 and 4.
  15. 15.Find the LCM of 15, 5 and 4.
  16. 16.Find the HCF of 78 and 65.
  17. 17.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 12, 4 and 7.
  19. 19.Find the LCM of 11, 3 and 12.
  20. 20.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  22. 22.Find the LCM of 9, 15 and 10.
  23. 23.Find the LCM of 10, 5 and 15.
  24. 24.Find the LCM of 3, 14 and 10.
  25. 25.Find the HCF of 20 and 32.
  26. 26.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  27. 27.Find the LCM of 5, 4 and 6.
  28. 28.Find the LCM of 42 and 48.
  29. 29.Find the LCM of 7 and 2.
  30. 30.Find the HCF of 10 and 8.
  31. 31.Find the LCM of 7, 2 and 6.
  32. 32.Find the LCM of 5, 7 and 2.
  33. 33.Find the LCM of 20 and 32.
  34. 34.Find the HCF of 90 and 105.
  35. 35.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  37. 37.Find the LCM of 5, 2 and 8.
  38. 38.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  39. 39.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  40. 40.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?

Answer key

  1. 7
  2. 13
  3. 8
  4. 3
  5. 42
  6. 315
  7. 28
  8. 54
  9. 280
  10. 13
  11. 20
  12. 140
  13. 198
  14. 60
  15. 60
  16. 13
  17. 30
  18. 84
  19. 132
  20. 21
  21. 18
  22. 90
  23. 30
  24. 210
  25. 4
  26. 12
  27. 60
  28. 336
  29. 14
  30. 2
  31. 42
  32. 70
  33. 160
  34. 15
  35. 28
  36. 4
  37. 40
  38. 28
  39. 42
  40. 54

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