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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 279 · 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 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  2. 2.Find the LCM of 3 and 2.
  3. 3.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  4. 4.Find the LCM of 12 and 9.
  5. 5.Find the HCF of 91 and 104.
  6. 6.Find the LCM of 24 and 42.
  7. 7.Find the LCM of 15, 2 and 8.
  8. 8.Find the LCM of 8, 3 and 9.
  9. 9.Find the LCM of 6, 11 and 3.
  10. 10.Find the LCM of 10, 5 and 6.
  11. 11.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  12. 12.Find the HCF of 35 and 14.
  13. 13.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  14. 14.Find the HCF of 30 and 35.
  15. 15.Find the LCM of 5, 9 and 15.
  16. 16.Find the HCF of 55 and 33.
  17. 17.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  18. 18.Find the LCM of 8 and 18.
  19. 19.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  20. 20.Find the LCM of 10, 4 and 2.
  21. 21.Find the HCF of 14 and 35.
  22. 22.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  23. 23.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  24. 24.Find the HCF of 24 and 40.
  25. 25.Find the HCF of 42 and 56.
  26. 26.Find the LCM of 7 and 6.
  27. 27.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 5, 2 and 7.
  29. 29.Find the HCF of 48 and 18.
  30. 30.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  31. 31.Find the HCF of 48 and 56.
  32. 32.Find the LCM of 8, 3 and 6.
  33. 33.Find the HCF of 36 and 60.
  34. 34.Find the HCF of 54 and 30.
  35. 35.Find the LCM of 9, 6 and 11.
  36. 36.Find the HCF of 56 and 21.
  37. 37.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  38. 38.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  39. 39.Find the HCF of 21 and 6.
  40. 40.Find the HCF of 20 and 28.

Answer key

  1. 4
  2. 6
  3. 16
  4. 36
  5. 13
  6. 168
  7. 120
  8. 72
  9. 66
  10. 30
  11. 18
  12. 7
  13. 14
  14. 5
  15. 45
  16. 11
  17. 40
  18. 72
  19. 63
  20. 20
  21. 7
  22. 49
  23. 21
  24. 8
  25. 14
  26. 42
  27. 16
  28. 70
  29. 6
  30. 49
  31. 8
  32. 24
  33. 12
  34. 6
  35. 198
  36. 7
  37. 18
  38. 20
  39. 3
  40. 4

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