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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 15 · 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 63 and 36.
  2. 2.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  3. 3.Find the HCF of 35 and 20.
  4. 4.Find the LCM of 4, 8 and 11.
  5. 5.Find the HCF of 27 and 24.
  6. 6.Find the HCF of 28 and 36.
  7. 7.Find the LCM of 10 and 45.
  8. 8.Find the LCM of 13, 7 and 2.
  9. 9.Find the HCF of 28 and 16.
  10. 10.Find the LCM of 12, 5 and 6.
  11. 11.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  12. 12.Find the HCF of 52 and 65.
  13. 13.Find the LCM of 12 and 20.
  14. 14.Find the LCM of 10 and 35.
  15. 15.Find the LCM of 48 and 30.
  16. 16.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  17. 17.Find the HCF of 15 and 12.
  18. 18.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?
  19. 19.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  20. 20.Find the HCF of 75 and 60.
  21. 21.Find the LCM of 30 and 36.
  22. 22.Find the HCF of 30 and 135.
  23. 23.Find the LCM of 16 and 20.
  24. 24.Find the LCM of 13, 3 and 9.
  25. 25.Find the HCF of 15 and 40.
  26. 26.Find the HCF of 24 and 56.
  27. 27.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  28. 28.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  29. 29.Find the LCM of 8, 4 and 7.
  30. 30.Find the LCM of 25 and 40.
  31. 31.Find the HCF of 54 and 12.
  32. 32.Find the LCM of 9, 4 and 2.
  33. 33.Find the LCM of 3, 12 and 11.
  34. 34.Find the HCF of 12 and 20.
  35. 35.Find the LCM of 14, 11 and 2.
  36. 36.Find the HCF of 26 and 117.
  37. 37.Find the HCF of 33 and 22.
  38. 38.Find the HCF of 24 and 108.
  39. 39.Find the HCF of 42 and 35.
  40. 40.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?

Answer key

  1. 9
  2. 49
  3. 5
  4. 88
  5. 3
  6. 4
  7. 90
  8. 182
  9. 4
  10. 60
  11. 16
  12. 13
  13. 60
  14. 70
  15. 240
  16. 16
  17. 3
  18. 48
  19. 27
  20. 15
  21. 180
  22. 15
  23. 80
  24. 117
  25. 5
  26. 8
  27. 42
  28. 48
  29. 56
  30. 200
  31. 6
  32. 36
  33. 132
  34. 4
  35. 154
  36. 13
  37. 11
  38. 12
  39. 7
  40. 42

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