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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 733 · 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 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  2. 2.Find the LCM of 4, 9 and 8.
  3. 3.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  4. 4.Find the LCM of 28 and 12.
  5. 5.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  6. 6.Find the HCF of 65 and 26.
  7. 7.Find the HCF of 36 and 45.
  8. 8.Find the LCM of 10 and 18.
  9. 9.Find the HCF of 39 and 26.
  10. 10.Find the LCM of 14, 8 and 3.
  11. 11.Find the HCF of 35 and 28.
  12. 12.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  13. 13.Find the HCF of 42 and 24.
  14. 14.Find the LCM of 7, 6 and 2.
  15. 15.Find the LCM of 9, 2 and 6.
  16. 16.Find the HCF of 56 and 63.
  17. 17.Find the HCF of 63 and 27.
  18. 18.Find the HCF of 77 and 55.
  19. 19.Find the HCF of 126 and 56.
  20. 20.Find the LCM of 21 and 9.
  21. 21.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  22. 22.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  23. 23.Find the HCF of 64 and 56.
  24. 24.Find the LCM of 5, 2 and 10.
  25. 25.Find the LCM of 20 and 24.
  26. 26.Find the LCM of 5, 15 and 4.
  27. 27.Find the HCF of 63 and 49.
  28. 28.Find the HCF of 8 and 6.
  29. 29.Find the LCM of 18 and 8.
  30. 30.Find the LCM of 6, 2 and 12.
  31. 31.Find the LCM of 24 and 30.
  32. 32.Find the LCM of 2, 13 and 8.
  33. 33.Find the LCM of 30 and 36.
  34. 34.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  35. 35.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  36. 36.Find the LCM of 15 and 35.
  37. 37.Find the LCM of 30 and 24.
  38. 38.Find the LCM of 15 and 25.
  39. 39.Find the LCM of 6 and 10.
  40. 40.Find the HCF of 84 and 70.

Answer key

  1. 32
  2. 72
  3. 40
  4. 84
  5. 10
  6. 13
  7. 9
  8. 90
  9. 13
  10. 168
  11. 7
  12. 35
  13. 6
  14. 42
  15. 18
  16. 7
  17. 9
  18. 11
  19. 14
  20. 63
  21. 16
  22. 81
  23. 8
  24. 10
  25. 120
  26. 60
  27. 7
  28. 2
  29. 72
  30. 12
  31. 120
  32. 104
  33. 180
  34. 81
  35. 15
  36. 105
  37. 120
  38. 75
  39. 30
  40. 14

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