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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 668 · 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 32 and 28.
  2. 2.Find the LCM of 15, 8 and 12.
  3. 3.Find the LCM of 7, 6 and 5.
  4. 4.Find the HCF of 98 and 126.
  5. 5.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  6. 6.Find the LCM of 6 and 4.
  7. 7.Find the HCF of 72 and 32.
  8. 8.Find the LCM of 10 and 6.
  9. 9.Find the LCM of 13, 6 and 3.
  10. 10.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  11. 11.Find the HCF of 40 and 30.
  12. 12.Find the LCM of 9 and 7.
  13. 13.Find the LCM of 8 and 28.
  14. 14.Find the LCM of 54 and 30.
  15. 15.Find the LCM of 15, 9 and 3.
  16. 16.Find the HCF of 55 and 88.
  17. 17.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  18. 18.Find the LCM of 14 and 18.
  19. 19.Find the HCF of 48 and 42.
  20. 20.Find the HCF of 16 and 10.
  21. 21.Find the LCM of 15 and 35.
  22. 22.Find the HCF of 64 and 24.
  23. 23.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  25. 25.Find the HCF of 90 and 40.
  26. 26.Find the HCF of 108 and 60.
  27. 27.Find the LCM of 9, 2 and 11.
  28. 28.Find the LCM of 48 and 18.
  29. 29.Find the LCM of 11, 2 and 4.
  30. 30.Find the LCM of 4, 6 and 13.
  31. 31.Find the LCM of 4, 8 and 12.
  32. 32.Find the LCM of 24 and 21.
  33. 33.Find the LCM of 9, 2 and 7.
  34. 34.Find the LCM of 4, 5 and 10.
  35. 35.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  36. 36.Find the LCM of 6, 15 and 14.
  37. 37.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  38. 38.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  39. 39.Find the HCF of 33 and 77.
  40. 40.Find the HCF of 15 and 18.

Answer key

  1. 4
  2. 120
  3. 210
  4. 14
  5. 54
  6. 12
  7. 8
  8. 30
  9. 78
  10. 40
  11. 10
  12. 63
  13. 56
  14. 270
  15. 45
  16. 11
  17. 18
  18. 126
  19. 6
  20. 2
  21. 105
  22. 8
  23. 45
  24. 14
  25. 10
  26. 12
  27. 198
  28. 144
  29. 44
  30. 156
  31. 24
  32. 168
  33. 126
  34. 20
  35. 12
  36. 210
  37. 10
  38. 15
  39. 11
  40. 3

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