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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 240 · 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 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  2. 2.Find the HCF of 18 and 63.
  3. 3.Find the LCM of 16 and 18.
  4. 4.Find the HCF of 63 and 36.
  5. 5.Find the LCM of 10, 3 and 9.
  6. 6.Find the LCM of 8 and 7.
  7. 7.Find the LCM of 6 and 9.
  8. 8.Find the LCM of 4, 10 and 9.
  9. 9.Find the LCM of 4 and 10.
  10. 10.Find the LCM of 20 and 12.
  11. 11.Find the HCF of 70 and 60.
  12. 12.Find the LCM of 2 and 5.
  13. 13.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  14. 14.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  15. 15.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  16. 16.Find the LCM of 10 and 6.
  17. 17.Find the HCF of 99 and 55.
  18. 18.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  19. 19.Find the HCF of 30 and 36.
  20. 20.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  21. 21.Find the LCM of 20 and 25.
  22. 22.Find the LCM of 6 and 10.
  23. 23.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  24. 24.Find the LCM of 20 and 28.
  25. 25.Find the LCM of 18 and 4.
  26. 26.Find the HCF of 18 and 27.
  27. 27.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  28. 28.Find the HCF of 45 and 105.
  29. 29.Find the HCF of 117 and 104.
  30. 30.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  31. 31.Find the LCM of 45 and 20.
  32. 32.Find the HCF of 48 and 108.
  33. 33.Find the LCM of 5, 2 and 6.
  34. 34.Find the HCF of 60 and 48.
  35. 35.Find the LCM of 28 and 16.
  36. 36.Find the LCM of 15, 6 and 12.
  37. 37.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  38. 38.Find the LCM of 4, 3 and 6.
  39. 39.Find the LCM of 3, 8 and 2.
  40. 40.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?

Answer key

  1. 21
  2. 9
  3. 144
  4. 9
  5. 90
  6. 56
  7. 18
  8. 180
  9. 20
  10. 60
  11. 10
  12. 10
  13. 21
  14. 18
  15. 72
  16. 30
  17. 11
  18. 64
  19. 6
  20. 24
  21. 100
  22. 30
  23. 21
  24. 140
  25. 36
  26. 9
  27. 40
  28. 15
  29. 13
  30. 12
  31. 180
  32. 12
  33. 30
  34. 12
  35. 112
  36. 60
  37. 15
  38. 12
  39. 24
  40. 8

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