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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 344 · 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 40 and 70.
  2. 2.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 8, 15 and 2.
  6. 6.Find the LCM of 21 and 27.
  7. 7.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  8. 8.Find the HCF of 24 and 18.
  9. 9.Find the LCM of 4, 5 and 11.
  10. 10.Find the HCF of 78 and 65.
  11. 11.Find the HCF of 20 and 12.
  12. 12.Find the HCF of 45 and 105.
  13. 13.Find the HCF of 30 and 20.
  14. 14.Find the HCF of 48 and 54.
  15. 15.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  16. 16.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  17. 17.Find the HCF of 70 and 30.
  18. 18.Find the HCF of 64 and 72.
  19. 19.Find the LCM of 4 and 10.
  20. 20.Find the HCF of 65 and 39.
  21. 21.Find the LCM of 6, 15 and 7.
  22. 22.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  23. 23.Find the LCM of 6, 15 and 3.
  24. 24.Find the HCF of 117 and 52.
  25. 25.Find the LCM of 15 and 25.
  26. 26.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  27. 27.Find the HCF of 33 and 55.
  28. 28.Find the LCM of 18 and 24.
  29. 29.Find the HCF of 40 and 45.
  30. 30.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 45. What is the other number?
  31. 31.Find the HCF of 14 and 18.
  32. 32.Find the LCM of 24 and 30.
  33. 33.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  34. 34.Find the LCM of 6, 4 and 3.
  35. 35.Find the LCM of 40 and 25.
  36. 36.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  37. 37.Find the LCM of 4, 9 and 3.
  38. 38.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  39. 39.Find the LCM of 9, 4 and 5.
  40. 40.Find the LCM of 45 and 35.

Answer key

  1. 10
  2. 48
  3. 28
  4. 48
  5. 120
  6. 189
  7. 28
  8. 6
  9. 220
  10. 13
  11. 4
  12. 15
  13. 10
  14. 6
  15. 40
  16. 4
  17. 10
  18. 8
  19. 20
  20. 13
  21. 210
  22. 42
  23. 30
  24. 13
  25. 75
  26. 27
  27. 11
  28. 72
  29. 5
  30. 54
  31. 2
  32. 120
  33. 81
  34. 12
  35. 200
  36. 32
  37. 36
  38. 10
  39. 180
  40. 315

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