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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 241 · 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 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  2. 2.Find the HCF of 28 and 12.
  3. 3.Find the LCM of 8 and 7.
  4. 4.Find the LCM of 24 and 15.
  5. 5.Find the HCF of 21 and 27.
  6. 6.Find the LCM of 11, 5 and 10.
  7. 7.Find the HCF of 63 and 72.
  8. 8.Find the LCM of 10, 6 and 3.
  9. 9.Find the LCM of 36 and 20.
  10. 10.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  11. 11.Find the HCF of 60 and 72.
  12. 12.Find the HCF of 20 and 25.
  13. 13.Find the LCM of 15 and 40.
  14. 14.Find the HCF of 9 and 6.
  15. 15.Find the LCM of 13, 12 and 3.
  16. 16.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  17. 17.Find the LCM of 25 and 20.
  18. 18.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  19. 19.Find the HCF of 16 and 56.
  20. 20.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  21. 21.Find the LCM of 6, 9 and 4.
  22. 22.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  23. 23.Find the LCM of 4, 11 and 12.
  24. 24.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  25. 25.Find the LCM of 10, 2 and 13.
  26. 26.Find the HCF of 70 and 80.
  27. 27.Find the LCM of 4 and 14.
  28. 28.Find the HCF of 42 and 36.
  29. 29.Find the LCM of 5 and 3.
  30. 30.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  31. 31.Find the LCM of 3 and 8.
  32. 32.Find the LCM of 3, 9 and 4.
  33. 33.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  34. 34.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  35. 35.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  36. 36.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  37. 37.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  38. 38.Find the LCM of 12, 5 and 3.
  39. 39.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  40. 40.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?

Answer key

  1. 54
  2. 4
  3. 56
  4. 120
  5. 3
  6. 110
  7. 9
  8. 30
  9. 180
  10. 35
  11. 12
  12. 5
  13. 120
  14. 3
  15. 156
  16. 12
  17. 100
  18. 56
  19. 8
  20. 63
  21. 36
  22. 6
  23. 132
  24. 48
  25. 130
  26. 10
  27. 28
  28. 6
  29. 15
  30. 16
  31. 24
  32. 36
  33. 9
  34. 32
  35. 16
  36. 10
  37. 4
  38. 60
  39. 18
  40. 24

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