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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 157 · 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 52 and 91.
  2. 2.Find the LCM of 10 and 16.
  3. 3.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  4. 4.Find the LCM of 9, 10 and 12.
  5. 5.Find the HCF of 49 and 21.
  6. 6.Find the LCM of 6, 15 and 14.
  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.Find the HCF of 35 and 20.
  9. 9.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  10. 10.Find the HCF of 54 and 63.
  11. 11.Find the HCF of 77 and 44.
  12. 12.Find the LCM of 13, 7 and 2.
  13. 13.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  14. 14.Find the LCM of 14, 13 and 2.
  15. 15.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  16. 16.Find the HCF of 6 and 21.
  17. 17.Find the HCF of 27 and 15.
  18. 18.Find the LCM of 32 and 20.
  19. 19.Find the LCM of 14 and 4.
  20. 20.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  21. 21.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  22. 22.Find the HCF of 55 and 33.
  23. 23.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  24. 24.Find the LCM of 3, 2 and 10.
  25. 25.Find the LCM of 45 and 35.
  26. 26.Find the LCM of 8 and 7.
  27. 27.Find the LCM of 54 and 42.
  28. 28.Find the LCM of 15 and 6.
  29. 29.Find the LCM of 6, 4 and 7.
  30. 30.Find the HCF of 56 and 98.
  31. 31.Find the HCF of 36 and 63.
  32. 32.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  33. 33.Find the HCF of 32 and 40.
  34. 34.Find the HCF of 105 and 120.
  35. 35.Find the LCM of 30 and 42.
  36. 36.Find the LCM of 5, 3 and 7.
  37. 37.Find the LCM of 2, 9 and 8.
  38. 38.Find the LCM of 12 and 30.
  39. 39.Find the LCM of 12, 3 and 9.
  40. 40.Find the LCM of 10, 4 and 2.

Answer key

  1. 13
  2. 80
  3. 10
  4. 180
  5. 7
  6. 210
  7. 14
  8. 5
  9. 18
  10. 9
  11. 11
  12. 182
  13. 72
  14. 182
  15. 18
  16. 3
  17. 3
  18. 160
  19. 28
  20. 45
  21. 27
  22. 11
  23. 10
  24. 30
  25. 315
  26. 56
  27. 378
  28. 30
  29. 84
  30. 14
  31. 9
  32. 28
  33. 8
  34. 15
  35. 210
  36. 105
  37. 72
  38. 60
  39. 36
  40. 20

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