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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 450 · 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 24 and 18.
  2. 2.Find the LCM of 2, 3 and 7.
  3. 3.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  4. 4.Find the LCM of 18 and 10.
  5. 5.Find the LCM of 27 and 12.
  6. 6.Find the HCF of 70 and 98.
  7. 7.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  8. 8.Find the LCM of 3, 2 and 8.
  9. 9.Find the LCM of 2, 8 and 10.
  10. 10.Find the LCM of 4, 11 and 12.
  11. 11.Find the LCM of 9, 4 and 15.
  12. 12.Find the HCF of 21 and 24.
  13. 13.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  14. 14.Find the HCF of 42 and 56.
  15. 15.Find the LCM of 16 and 12.
  16. 16.Find the LCM of 7, 15 and 5.
  17. 17.Find the LCM of 14, 7 and 12.
  18. 18.Find the HCF of 40 and 32.
  19. 19.Find the HCF of 30 and 36.
  20. 20.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  21. 21.Find the LCM of 7, 6 and 3.
  22. 22.Find the LCM of 4, 3 and 2.
  23. 23.Find the LCM of 48 and 18.
  24. 24.Find the LCM of 8 and 10.
  25. 25.Find the LCM of 10, 2 and 14.
  26. 26.Find the LCM of 8, 4 and 7.
  27. 27.Find the LCM of 14, 10 and 7.
  28. 28.Find the HCF of 98 and 126.
  29. 29.Find the HCF of 24 and 32.
  30. 30.Find the HCF of 22 and 33.
  31. 31.Find the HCF of 16 and 6.
  32. 32.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  33. 33.Find the LCM of 13, 7 and 2.
  34. 34.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  35. 35.Find the HCF of 36 and 27.
  36. 36.Find the LCM of 4, 10 and 9.
  37. 37.Find the LCM of 14, 8 and 7.
  38. 38.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  39. 39.Find the HCF of 35 and 45.
  40. 40.Find the LCM of 14, 13 and 2.

Answer key

  1. 6
  2. 42
  3. 14
  4. 90
  5. 108
  6. 14
  7. 10
  8. 24
  9. 40
  10. 132
  11. 180
  12. 3
  13. 18
  14. 14
  15. 48
  16. 105
  17. 84
  18. 8
  19. 6
  20. 18
  21. 42
  22. 12
  23. 144
  24. 40
  25. 70
  26. 56
  27. 70
  28. 14
  29. 8
  30. 11
  31. 2
  32. 35
  33. 182
  34. 15
  35. 9
  36. 180
  37. 56
  38. 16
  39. 5
  40. 182

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