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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 398 · 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 80. One of the numbers is 20. What is the other number?
  2. 2.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 15, 10 and 5.
  4. 4.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  5. 5.Find the HCF of 33 and 77.
  6. 6.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  7. 7.Find the LCM of 4, 2 and 6.
  8. 8.Find the LCM of 28 and 36.
  9. 9.Find the HCF of 135 and 60.
  10. 10.Find the LCM of 45 and 35.
  11. 11.Find the LCM of 6, 2 and 12.
  12. 12.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  13. 13.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  14. 14.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  15. 15.Find the HCF of 99 and 88.
  16. 16.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  17. 17.Find the LCM of 54 and 24.
  18. 18.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  20. 20.Find the LCM of 28 and 8.
  21. 21.Find the HCF of 80 and 30.
  22. 22.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  25. 25.Find the LCM of 14 and 10.
  26. 26.Find the HCF of 75 and 30.
  27. 27.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  28. 28.Find the LCM of 4 and 7.
  29. 29.Find the HCF of 117 and 52.
  30. 30.Find the HCF of 26 and 91.
  31. 31.Find the LCM of 5 and 7.
  32. 32.Find the LCM of 2, 3 and 11.
  33. 33.Find the HCF of 55 and 77.
  34. 34.Find the LCM of 7, 8 and 12.
  35. 35.Find the HCF of 12 and 21.
  36. 36.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  37. 37.Find the HCF of 108 and 96.
  38. 38.Find the LCM of 15, 12 and 9.
  39. 39.Find the HCF of 33 and 55.
  40. 40.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?

Answer key

  1. 16
  2. 21
  3. 30
  4. 49
  5. 11
  6. 28
  7. 12
  8. 252
  9. 15
  10. 315
  11. 12
  12. 6
  13. 18
  14. 18
  15. 11
  16. 42
  17. 216
  18. 63
  19. 27
  20. 56
  21. 10
  22. 48
  23. 81
  24. 64
  25. 70
  26. 15
  27. 64
  28. 28
  29. 13
  30. 13
  31. 35
  32. 66
  33. 11
  34. 168
  35. 3
  36. 21
  37. 12
  38. 180
  39. 11
  40. 8

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