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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 685 · 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 HCF of 63 and 72.
  2. 2.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 2, 10 and 4.
  4. 4.Find the LCM of 16 and 28.
  5. 5.Find the LCM of 13, 3 and 2.
  6. 6.Find the HCF of 70 and 90.
  7. 7.Find the HCF of 20 and 70.
  8. 8.Find the LCM of 40 and 35.
  9. 9.Find the HCF of 16 and 20.
  10. 10.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  11. 11.Find the LCM of 14, 10 and 6.
  12. 12.Find the LCM of 6, 11 and 9.
  13. 13.Find the HCF of 112 and 98.
  14. 14.Find the HCF of 8 and 12.
  15. 15.Find the HCF of 16 and 14.
  16. 16.Find the HCF of 44 and 55.
  17. 17.Find the HCF of 18 and 24.
  18. 18.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  19. 19.Find the LCM of 3, 8 and 12.
  20. 20.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  21. 21.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  22. 22.Find the LCM of 8, 2 and 7.
  23. 23.Find the HCF of 70 and 126.
  24. 24.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  25. 25.Find the LCM of 4 and 3.
  26. 26.Find the HCF of 32 and 20.
  27. 27.Find the HCF of 49 and 14.
  28. 28.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  29. 29.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  30. 30.Find the LCM of 10, 4 and 5.
  31. 31.Find the LCM of 3, 5 and 4.
  32. 32.Find the LCM of 11, 7 and 2.
  33. 33.Find the LCM of 30 and 25.
  34. 34.Find the LCM of 10, 7 and 14.
  35. 35.Find the LCM of 3, 10 and 15.
  36. 36.Find the LCM of 7, 3 and 14.
  37. 37.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  38. 38.Find the LCM of 12, 5 and 10.
  39. 39.Find the HCF of 63 and 14.
  40. 40.Find the HCF of 105 and 135.

Answer key

  1. 9
  2. 54
  3. 20
  4. 112
  5. 78
  6. 10
  7. 10
  8. 280
  9. 4
  10. 24
  11. 210
  12. 198
  13. 14
  14. 4
  15. 2
  16. 11
  17. 6
  18. 32
  19. 24
  20. 9
  21. 18
  22. 56
  23. 14
  24. 10
  25. 12
  26. 4
  27. 7
  28. 15
  29. 48
  30. 20
  31. 60
  32. 154
  33. 150
  34. 70
  35. 30
  36. 42
  37. 12
  38. 60
  39. 7
  40. 15

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