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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 706 · 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.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  2. 2.Find the HCF of 42 and 70.
  3. 3.Find the LCM of 3, 12 and 5.
  4. 4.Find the HCF of 20 and 90.
  5. 5.Find the LCM of 7 and 5.
  6. 6.Find the HCF of 10 and 4.
  7. 7.Find the LCM of 3, 11 and 9.
  8. 8.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  9. 9.Find the LCM of 3, 4 and 6.
  10. 10.Find the LCM of 8 and 18.
  11. 11.Find the LCM of 6, 4 and 11.
  12. 12.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  13. 13.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  14. 14.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  15. 15.Find the LCM of 5 and 4.
  16. 16.Find the HCF of 60 and 36.
  17. 17.Find the LCM of 4, 3 and 2.
  18. 18.Find the HCF of 99 and 88.
  19. 19.Find the LCM of 12 and 16.
  20. 20.Find the HCF of 8 and 28.
  21. 21.Find the HCF of 16 and 36.
  22. 22.Find the HCF of 18 and 30.
  23. 23.Find the LCM of 45 and 20.
  24. 24.Find the HCF of 98 and 112.
  25. 25.Find the HCF of 70 and 28.
  26. 26.Find the HCF of 99 and 55.
  27. 27.Find the LCM of 4, 5 and 7.
  28. 28.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  29. 29.Find the LCM of 2, 12 and 10.
  30. 30.Find the HCF of 104 and 65.
  31. 31.Find the LCM of 3, 6 and 7.
  32. 32.Find the LCM of 10, 2 and 5.
  33. 33.Find the LCM of 6, 8 and 7.
  34. 34.Find the LCM of 32 and 12.
  35. 35.Find the HCF of 117 and 52.
  36. 36.Find the LCM of 6, 4 and 7.
  37. 37.Find the LCM of 24 and 54.
  38. 38.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  39. 39.Find the HCF of 32 and 20.
  40. 40.Find the LCM of 12, 9 and 10.

Answer key

  1. 64
  2. 14
  3. 60
  4. 10
  5. 35
  6. 2
  7. 99
  8. 27
  9. 12
  10. 72
  11. 132
  12. 15
  13. 16
  14. 8
  15. 20
  16. 12
  17. 12
  18. 11
  19. 48
  20. 4
  21. 4
  22. 6
  23. 180
  24. 14
  25. 14
  26. 11
  27. 140
  28. 36
  29. 60
  30. 13
  31. 42
  32. 10
  33. 168
  34. 96
  35. 13
  36. 84
  37. 216
  38. 6
  39. 4
  40. 180

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