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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 849 · 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 36 and 60.
  2. 2.Find the LCM of 3, 5 and 11.
  3. 3.Find the HCF of 63 and 49.
  4. 4.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  5. 5.Find the HCF of 21 and 24.
  6. 6.Find the HCF of 15 and 35.
  7. 7.Find the LCM of 10, 9 and 3.
  8. 8.Find the HCF of 24 and 28.
  9. 9.Find the HCF of 60 and 36.
  10. 10.Find the HCF of 28 and 16.
  11. 11.Find the LCM of 6, 5 and 4.
  12. 12.Find the HCF of 20 and 28.
  13. 13.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  14. 14.Find the HCF of 72 and 16.
  15. 15.Find the LCM of 10, 11 and 5.
  16. 16.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 13, 2 and 8.
  18. 18.Find the HCF of 45 and 63.
  19. 19.Find the HCF of 91 and 117.
  20. 20.Find the HCF of 88 and 77.
  21. 21.Find the LCM of 16 and 12.
  22. 22.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  24. 24.Find the LCM of 6, 8 and 2.
  25. 25.Find the LCM of 21 and 6.
  26. 26.Find the LCM of 3, 6 and 11.
  27. 27.Find the LCM of 13, 7 and 2.
  28. 28.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. What is the other number?
  29. 29.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  30. 30.Find the LCM of 42 and 36.
  31. 31.Find the LCM of 10, 6 and 2.
  32. 32.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  33. 33.Find the HCF of 91 and 26.
  34. 34.Find the LCM of 5, 9 and 10.
  35. 35.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  36. 36.Find the LCM of 4, 7 and 5.
  37. 37.Find the HCF of 54 and 63.
  38. 38.Find the LCM of 2 and 5.
  39. 39.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  40. 40.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?

Answer key

  1. 12
  2. 165
  3. 7
  4. 45
  5. 3
  6. 5
  7. 90
  8. 4
  9. 12
  10. 4
  11. 60
  12. 4
  13. 21
  14. 8
  15. 110
  16. 72
  17. 104
  18. 9
  19. 13
  20. 11
  21. 48
  22. 12
  23. 36
  24. 24
  25. 42
  26. 66
  27. 182
  28. 36
  29. 30
  30. 252
  31. 30
  32. 10
  33. 13
  34. 90
  35. 49
  36. 140
  37. 9
  38. 10
  39. 27
  40. 32

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