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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 459 · 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 30 and 50.
  2. 2.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  3. 3.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  4. 4.Find the LCM of 6 and 5.
  5. 5.Find the LCM of 7 and 6.
  6. 6.Find the LCM of 15, 3 and 2.
  7. 7.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  8. 8.Find the LCM of 7, 4 and 5.
  9. 9.Find the LCM of 10, 3 and 9.
  10. 10.Find the LCM of 3, 12 and 8.
  11. 11.Find the HCF of 26 and 117.
  12. 12.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  13. 13.Find the HCF of 16 and 24.
  14. 14.Find the HCF of 60 and 108.
  15. 15.Find the LCM of 4, 6 and 3.
  16. 16.Find the LCM of 4 and 6.
  17. 17.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  18. 18.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  19. 19.Find the LCM of 15, 5 and 8.
  20. 20.Find the HCF of 63 and 27.
  21. 21.Find the HCF of 16 and 6.
  22. 22.Find the LCM of 3, 10 and 15.
  23. 23.Find the HCF of 28 and 126.
  24. 24.Find the LCM of 42 and 12.
  25. 25.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  26. 26.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  27. 27.Find the LCM of 7 and 8.
  28. 28.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  29. 29.Find the LCM of 15, 2 and 3.
  30. 30.Find the HCF of 45 and 54.
  31. 31.Find the LCM of 9 and 4.
  32. 32.Find the LCM of 14 and 16.
  33. 33.Find the LCM of 6 and 4.
  34. 34.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  35. 35.Find the LCM of 14 and 8.
  36. 36.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  37. 37.Find the LCM of 14, 6 and 9.
  38. 38.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  39. 39.Find the LCM of 20 and 36.
  40. 40.Find the HCF of 52 and 39.

Answer key

  1. 10
  2. 56
  3. 64
  4. 30
  5. 42
  6. 30
  7. 81
  8. 140
  9. 90
  10. 24
  11. 13
  12. 12
  13. 8
  14. 12
  15. 12
  16. 12
  17. 10
  18. 21
  19. 120
  20. 9
  21. 2
  22. 30
  23. 14
  24. 84
  25. 14
  26. 36
  27. 56
  28. 45
  29. 30
  30. 9
  31. 36
  32. 112
  33. 12
  34. 9
  35. 56
  36. 18
  37. 126
  38. 45
  39. 180
  40. 13

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