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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 229 · 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 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  2. 2.Find the HCF of 36 and 32.
  3. 3.Find the LCM of 14, 6 and 15.
  4. 4.Find the LCM of 8, 4 and 6.
  5. 5.Find the HCF of 28 and 98.
  6. 6.Find the LCM of 7 and 4.
  7. 7.Find the LCM of 6, 2 and 14.
  8. 8.Find the HCF of 28 and 126.
  9. 9.Find the LCM of 18 and 4.
  10. 10.Find the LCM of 2, 3 and 10.
  11. 11.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  12. 12.Find the HCF of 36 and 30.
  13. 13.Find the LCM of 2, 12 and 13.
  14. 14.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  15. 15.Find the HCF of 39 and 91.
  16. 16.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  17. 17.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  18. 18.Find the LCM of 10 and 12.
  19. 19.Find the HCF of 70 and 126.
  20. 20.Find the LCM of 7 and 5.
  21. 21.Find the LCM of 5, 11 and 15.
  22. 22.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  24. 24.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  25. 25.Find the LCM of 18 and 8.
  26. 26.Find the LCM of 32 and 36.
  27. 27.Find the LCM of 8, 12 and 9.
  28. 28.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  29. 29.Find the HCF of 75 and 45.
  30. 30.Find the LCM of 5, 4 and 7.
  31. 31.Find the LCM of 4 and 9.
  32. 32.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  33. 33.Find the LCM of 4 and 6.
  34. 34.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  35. 35.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  36. 36.Find the LCM of 7, 15 and 6.
  37. 37.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  38. 38.Find the HCF of 42 and 112.
  39. 39.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  40. 40.Find the LCM of 6 and 9.

Answer key

  1. 14
  2. 4
  3. 210
  4. 24
  5. 14
  6. 28
  7. 42
  8. 14
  9. 36
  10. 30
  11. 10
  12. 6
  13. 156
  14. 15
  15. 13
  16. 16
  17. 15
  18. 60
  19. 14
  20. 35
  21. 165
  22. 35
  23. 18
  24. 48
  25. 72
  26. 288
  27. 72
  28. 24
  29. 15
  30. 140
  31. 36
  32. 10
  33. 12
  34. 18
  35. 8
  36. 210
  37. 14
  38. 14
  39. 42
  40. 18

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