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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 667 · 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 77.
  2. 2.Find the HCF of 60 and 135.
  3. 3.Find the LCM of 10 and 16.
  4. 4.Find the LCM of 6, 15 and 10.
  5. 5.Find the HCF of 70 and 112.
  6. 6.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  7. 7.Find the LCM of 6, 15 and 14.
  8. 8.Find the LCM of 10, 2 and 11.
  9. 9.Find the LCM of 5, 4 and 8.
  10. 10.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  11. 11.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  12. 12.Find the HCF of 65 and 91.
  13. 13.Find the LCM of 10, 7 and 14.
  14. 14.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  15. 15.Find the HCF of 33 and 77.
  16. 16.Find the LCM of 5 and 4.
  17. 17.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  18. 18.Find the LCM of 3 and 2.
  19. 19.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  20. 20.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  21. 21.Find the HCF of 24 and 84.
  22. 22.Find the LCM of 20 and 24.
  23. 23.Find the HCF of 60 and 36.
  24. 24.Find the HCF of 91 and 117.
  25. 25.Find the HCF of 77 and 33.
  26. 26.Find the LCM of 15, 5 and 13.
  27. 27.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  28. 28.Find the LCM of 8 and 7.
  29. 29.Find the HCF of 14 and 18.
  30. 30.Find the HCF of 30 and 50.
  31. 31.Find the LCM of 10, 9 and 5.
  32. 32.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  34. 34.Find the LCM of 8, 2 and 4.
  35. 35.Find the LCM of 15, 2 and 6.
  36. 36.Find the LCM of 45 and 20.
  37. 37.Find the HCF of 60 and 75.
  38. 38.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  39. 39.Find the LCM of 15, 8 and 4.
  40. 40.Find the LCM of 20 and 28.

Answer key

  1. 11
  2. 15
  3. 80
  4. 30
  5. 14
  6. 24
  7. 210
  8. 110
  9. 40
  10. 32
  11. 10
  12. 13
  13. 70
  14. 24
  15. 11
  16. 20
  17. 18
  18. 6
  19. 81
  20. 14
  21. 12
  22. 120
  23. 12
  24. 13
  25. 11
  26. 195
  27. 30
  28. 56
  29. 2
  30. 10
  31. 90
  32. 15
  33. 40
  34. 8
  35. 30
  36. 180
  37. 15
  38. 20
  39. 120
  40. 140

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