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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 88 · 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 84. One of the numbers is 21. What is the other number?
  2. 2.Find the HCF of 63 and 36.
  3. 3.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  4. 4.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  5. 5.Find the HCF of 55 and 33.
  6. 6.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  7. 7.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  8. 8.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  9. 9.Find the LCM of 4 and 6.
  10. 10.Find the HCF of 14 and 6.
  11. 11.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  12. 12.Find the HCF of 60 and 108.
  13. 13.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  14. 14.Find the LCM of 16 and 10.
  15. 15.Find the LCM of 12 and 27.
  16. 16.Find the LCM of 9, 2 and 15.
  17. 17.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  18. 18.Find the LCM of 36 and 8.
  19. 19.Find the LCM of 6, 10 and 8.
  20. 20.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  22. 22.Find the LCM of 21 and 24.
  23. 23.Find the HCF of 56 and 21.
  24. 24.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  25. 25.Find the HCF of 36 and 60.
  26. 26.Find the HCF of 40 and 70.
  27. 27.Find the LCM of 12, 7 and 2.
  28. 28.Find the HCF of 80 and 30.
  29. 29.Find the LCM of 15, 12 and 5.
  30. 30.Find the LCM of 4, 14 and 7.
  31. 31.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  32. 32.Find the HCF of 98 and 84.
  33. 33.Find the HCF of 40 and 30.
  34. 34.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  35. 35.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  36. 36.Find the LCM of 5, 15 and 3.
  37. 37.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  38. 38.Find the LCM of 10, 6 and 3.
  39. 39.Find the HCF of 30 and 54.
  40. 40.Find the HCF of 15 and 20.

Answer key

  1. 12
  2. 9
  3. 45
  4. 6
  5. 11
  6. 8
  7. 14
  8. 49
  9. 12
  10. 2
  11. 8
  12. 12
  13. 12
  14. 80
  15. 108
  16. 90
  17. 32
  18. 72
  19. 120
  20. 21
  21. 18
  22. 168
  23. 7
  24. 27
  25. 12
  26. 10
  27. 84
  28. 10
  29. 60
  30. 28
  31. 21
  32. 14
  33. 10
  34. 36
  35. 15
  36. 15
  37. 30
  38. 30
  39. 6
  40. 5

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