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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 451 · 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 LCM of 3, 14 and 5.
  2. 2.Find the HCF of 35 and 42.
  3. 3.Find the HCF of 30 and 45.
  4. 4.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  5. 5.Find the LCM of 7, 3 and 2.
  6. 6.Find the HCF of 36 and 30.
  7. 7.Find the HCF of 50 and 20.
  8. 8.Find the LCM of 13, 4 and 8.
  9. 9.Find the LCM of 6, 5 and 3.
  10. 10.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 4 and 5.
  12. 12.Find the HCF of 117 and 104.
  13. 13.Find the LCM of 35 and 30.
  14. 14.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  15. 15.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  16. 16.Find the HCF of 25 and 40.
  17. 17.Find the HCF of 15 and 10.
  18. 18.Find the LCM of 12, 3 and 4.
  19. 19.Find the LCM of 24 and 20.
  20. 20.Find the LCM of 11, 12 and 3.
  21. 21.Find the HCF of 27 and 24.
  22. 22.Find the HCF of 36 and 27.
  23. 23.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  24. 24.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  25. 25.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  26. 26.Find the LCM of 10 and 6.
  27. 27.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  28. 28.Find the LCM of 2, 11 and 5.
  29. 29.Find the LCM of 3, 7 and 12.
  30. 30.Find the HCF of 14 and 6.
  31. 31.Find the HCF of 28 and 36.
  32. 32.Find the HCF of 30 and 18.
  33. 33.Find the LCM of 12, 3 and 11.
  34. 34.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  35. 35.Find the HCF of 64 and 24.
  36. 36.Find the LCM of 4 and 6.
  37. 37.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  39. 39.Find the HCF of 45 and 35.
  40. 40.Find the HCF of 60 and 108.

Answer key

  1. 210
  2. 7
  3. 15
  4. 9
  5. 42
  6. 6
  7. 10
  8. 104
  9. 30
  10. 10
  11. 20
  12. 13
  13. 210
  14. 35
  15. 36
  16. 5
  17. 5
  18. 12
  19. 120
  20. 132
  21. 3
  22. 9
  23. 6
  24. 15
  25. 21
  26. 30
  27. 21
  28. 110
  29. 84
  30. 2
  31. 4
  32. 6
  33. 132
  34. 45
  35. 8
  36. 12
  37. 18
  38. 72
  39. 5
  40. 12

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