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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 7 · 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 20 and 16.
  2. 2.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  4. 4.Find the HCF of 26 and 65.
  5. 5.Find the HCF of 35 and 40.
  6. 6.Find the LCM of 4, 2 and 14.
  7. 7.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  8. 8.Find the HCF of 77 and 66.
  9. 9.Find the HCF of 40 and 48.
  10. 10.Find the HCF of 56 and 35.
  11. 11.Find the HCF of 21 and 28.
  12. 12.Find the LCM of 2, 5 and 7.
  13. 13.Find the HCF of 63 and 56.
  14. 14.Find the HCF of 48 and 56.
  15. 15.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  16. 16.Find the LCM of 8, 6 and 2.
  17. 17.Find the LCM of 8, 3 and 5.
  18. 18.Find the HCF of 4 and 14.
  19. 19.Find the HCF of 15 and 12.
  20. 20.Find the HCF of 45 and 27.
  21. 21.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  22. 22.Find the HCF of 81 and 63.
  23. 23.Find the HCF of 26 and 91.
  24. 24.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  25. 25.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  26. 26.Find the LCM of 9, 4 and 10.
  27. 27.Find the LCM of 8, 4 and 13.
  28. 28.Find the LCM of 13, 2 and 4.
  29. 29.Find the HCF of 21 and 15.
  30. 30.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  31. 31.Find the LCM of 11, 2 and 8.
  32. 32.Find the HCF of 20 and 32.
  33. 33.Find the LCM of 12, 10 and 6.
  34. 34.Find the LCM of 35 and 15.
  35. 35.Find the LCM of 2, 6 and 11.
  36. 36.Find the HCF of 18 and 24.
  37. 37.Find the LCM of 35 and 20.
  38. 38.Find the LCM of 28 and 12.
  39. 39.Find the LCM of 42 and 54.
  40. 40.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?

Answer key

  1. 4
  2. 12
  3. 10
  4. 13
  5. 5
  6. 28
  7. 27
  8. 11
  9. 8
  10. 7
  11. 7
  12. 70
  13. 7
  14. 8
  15. 12
  16. 24
  17. 120
  18. 2
  19. 3
  20. 9
  21. 20
  22. 9
  23. 13
  24. 24
  25. 18
  26. 180
  27. 104
  28. 52
  29. 3
  30. 24
  31. 88
  32. 4
  33. 60
  34. 105
  35. 66
  36. 6
  37. 140
  38. 84
  39. 378
  40. 15

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