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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 91 · 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 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  2. 2.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  3. 3.Find the HCF of 27 and 18.
  4. 4.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  5. 5.Find the HCF of 20 and 90.
  6. 6.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  7. 7.Find the HCF of 28 and 8.
  8. 8.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  9. 9.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  10. 10.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  11. 11.Find the LCM of 10 and 16.
  12. 12.Find the HCF of 42 and 12.
  13. 13.Find the HCF of 56 and 49.
  14. 14.Find the HCF of 104 and 39.
  15. 15.Find the LCM of 12 and 21.
  16. 16.Find the LCM of 10, 5 and 11.
  17. 17.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 15, 3 and 2.
  19. 19.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  20. 20.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  21. 21.Find the LCM of 5, 15 and 11.
  22. 22.Find the LCM of 3, 14 and 15.
  23. 23.Find the HCF of 63 and 56.
  24. 24.Find the LCM of 3, 5 and 7.
  25. 25.Find the LCM of 10, 11 and 2.
  26. 26.Find the LCM of 42 and 36.
  27. 27.Find the LCM of 18 and 8.
  28. 28.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  29. 29.Find the LCM of 12, 9 and 6.
  30. 30.Find the LCM of 18 and 24.
  31. 31.Find the LCM of 4, 11 and 10.
  32. 32.Find the LCM of 3 and 7.
  33. 33.Find the HCF of 50 and 60.
  34. 34.Find the HCF of 35 and 10.
  35. 35.Find the LCM of 6 and 21.
  36. 36.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  37. 37.Find the LCM of 3 and 4.
  38. 38.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  39. 39.Find the HCF of 105 and 75.
  40. 40.Find the LCM of 12 and 27.

Answer key

  1. 72
  2. 54
  3. 9
  4. 32
  5. 10
  6. 40
  7. 4
  8. 27
  9. 8
  10. 49
  11. 80
  12. 6
  13. 7
  14. 13
  15. 84
  16. 110
  17. 63
  18. 30
  19. 28
  20. 27
  21. 165
  22. 210
  23. 7
  24. 105
  25. 110
  26. 252
  27. 72
  28. 21
  29. 36
  30. 72
  31. 220
  32. 21
  33. 10
  34. 5
  35. 42
  36. 18
  37. 12
  38. 48
  39. 15
  40. 108

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