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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 97 · 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 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  2. 2.Find the HCF of 77 and 22.
  3. 3.Find the LCM of 3, 10 and 8.
  4. 4.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 63. What is the other number?
  5. 5.Find the HCF of 24 and 9.
  6. 6.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  7. 7.Find the LCM of 16 and 6.
  8. 8.Find the LCM of 3, 2 and 6.
  9. 9.Find the LCM of 18 and 16.
  10. 10.Find the LCM of 18 and 12.
  11. 11.Find the LCM of 12 and 8.
  12. 12.Find the LCM of 3 and 7.
  13. 13.Find the HCF of 60 and 75.
  14. 14.Find the HCF of 12 and 18.
  15. 15.Find the LCM of 14, 2 and 13.
  16. 16.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  17. 17.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  18. 18.Find the LCM of 15, 10 and 9.
  19. 19.Find the HCF of 104 and 65.
  20. 20.Find the HCF of 50 and 30.
  21. 21.Find the LCM of 5 and 9.
  22. 22.Find the HCF of 48 and 56.
  23. 23.Find the LCM of 14 and 18.
  24. 24.Find the HCF of 42 and 28.
  25. 25.Find the LCM of 15, 3 and 12.
  26. 26.Find the HCF of 65 and 39.
  27. 27.Find the HCF of 70 and 30.
  28. 28.Find the LCM of 10, 12 and 15.
  29. 29.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  30. 30.Find the HCF of 84 and 96.
  31. 31.Find the HCF of 63 and 18.
  32. 32.Find the LCM of 3, 15 and 9.
  33. 33.Find the HCF of 10 and 25.
  34. 34.Find the LCM of 6, 10 and 8.
  35. 35.Find the LCM of 2, 6 and 4.
  36. 36.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  37. 37.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  38. 38.Find the LCM of 12, 7 and 8.
  39. 39.Find the LCM of 36 and 28.
  40. 40.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?

Answer key

  1. 63
  2. 11
  3. 120
  4. 28
  5. 3
  6. 15
  7. 48
  8. 6
  9. 144
  10. 36
  11. 24
  12. 21
  13. 15
  14. 6
  15. 182
  16. 10
  17. 56
  18. 90
  19. 13
  20. 10
  21. 45
  22. 8
  23. 126
  24. 14
  25. 60
  26. 13
  27. 10
  28. 60
  29. 28
  30. 12
  31. 9
  32. 45
  33. 5
  34. 120
  35. 12
  36. 16
  37. 45
  38. 168
  39. 252
  40. 25

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