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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 858 · 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 88 and 55.
  2. 2.Find the LCM of 10 and 45.
  3. 3.Find the HCF of 9 and 12.
  4. 4.Find the LCM of 32 and 20.
  5. 5.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  6. 6.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  7. 7.Find the HCF of 21 and 24.
  8. 8.Find the LCM of 11, 3 and 5.
  9. 9.Find the LCM of 2 and 3.
  10. 10.Find the LCM of 15 and 35.
  11. 11.Find the LCM of 4, 9 and 10.
  12. 12.Find the LCM of 5, 3 and 6.
  13. 13.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  14. 14.Find the LCM of 8 and 14.
  15. 15.Find the HCF of 15 and 21.
  16. 16.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  17. 17.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  18. 18.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  19. 19.Find the LCM of 10, 12 and 6.
  20. 20.Find the LCM of 12 and 16.
  21. 21.Find the HCF of 18 and 81.
  22. 22.Find the HCF of 10 and 45.
  23. 23.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  24. 24.Find the HCF of 21 and 49.
  25. 25.Find the HCF of 56 and 32.
  26. 26.Find the HCF of 42 and 49.
  27. 27.Find the HCF of 64 and 56.
  28. 28.Find the LCM of 42 and 24.
  29. 29.Find the HCF of 6 and 16.
  30. 30.Find the HCF of 12 and 10.
  31. 31.Find the LCM of 9, 3 and 11.
  32. 32.Find the HCF of 98 and 56.
  33. 33.Find the HCF of 9 and 15.
  34. 34.Find the LCM of 14 and 12.
  35. 35.Find the HCF of 70 and 84.
  36. 36.Find the LCM of 6 and 14.
  37. 37.Find the LCM of 7 and 6.
  38. 38.Find the LCM of 24 and 18.
  39. 39.Find the LCM of 7, 2 and 14.
  40. 40.Find the HCF of 45 and 27.

Answer key

  1. 11
  2. 90
  3. 3
  4. 160
  5. 25
  6. 16
  7. 3
  8. 165
  9. 6
  10. 105
  11. 180
  12. 30
  13. 4
  14. 56
  15. 3
  16. 10
  17. 21
  18. 18
  19. 60
  20. 48
  21. 9
  22. 5
  23. 32
  24. 7
  25. 8
  26. 7
  27. 8
  28. 168
  29. 2
  30. 2
  31. 99
  32. 14
  33. 3
  34. 84
  35. 14
  36. 42
  37. 42
  38. 72
  39. 14
  40. 9

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