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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 310 · 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 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  2. 2.Find the LCM of 45 and 10.
  3. 3.Find the HCF of 78 and 65.
  4. 4.Find the LCM of 21 and 24.
  5. 5.Find the LCM of 2 and 7.
  6. 6.Find the LCM of 13, 12 and 4.
  7. 7.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  8. 8.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  9. 9.Find the HCF of 28 and 16.
  10. 10.Find the LCM of 16 and 10.
  11. 11.Find the LCM of 8, 12 and 2.
  12. 12.Find the HCF of 30 and 18.
  13. 13.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  14. 14.Find the HCF of 40 and 48.
  15. 15.Find the LCM of 2, 15 and 5.
  16. 16.Find the LCM of 36 and 28.
  17. 17.Find the HCF of 14 and 6.
  18. 18.Find the HCF of 84 and 98.
  19. 19.Find the HCF of 9 and 6.
  20. 20.Find the LCM of 8 and 14.
  21. 21.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  22. 22.Find the LCM of 2, 15 and 9.
  23. 23.Find the HCF of 9 and 12.
  24. 24.Find the LCM of 4 and 3.
  25. 25.Find the HCF of 28 and 42.
  26. 26.Find the LCM of 10 and 18.
  27. 27.Find the HCF of 8 and 36.
  28. 28.Find the LCM of 2, 7 and 14.
  29. 29.Find the HCF of 20 and 15.
  30. 30.Find the LCM of 6, 15 and 3.
  31. 31.Find the LCM of 6, 3 and 10.
  32. 32.Find the LCM of 5, 14 and 15.
  33. 33.Find the LCM of 9 and 7.
  34. 34.Find the HCF of 84 and 24.
  35. 35.Find the LCM of 7 and 3.
  36. 36.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  37. 37.Find the HCF of 56 and 70.
  38. 38.Find the LCM of 21 and 27.
  39. 39.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  40. 40.Find the HCF of 108 and 96.

Answer key

  1. 9
  2. 90
  3. 13
  4. 168
  5. 14
  6. 156
  7. 10
  8. 6
  9. 4
  10. 80
  11. 24
  12. 6
  13. 15
  14. 8
  15. 30
  16. 252
  17. 2
  18. 14
  19. 3
  20. 56
  21. 21
  22. 90
  23. 3
  24. 12
  25. 14
  26. 90
  27. 4
  28. 14
  29. 5
  30. 30
  31. 30
  32. 210
  33. 63
  34. 12
  35. 21
  36. 45
  37. 14
  38. 189
  39. 28
  40. 12

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