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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 365 · 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 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  2. 2.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 6, 14 and 7.
  4. 4.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  5. 5.Find the HCF of 9 and 21.
  6. 6.Find the LCM of 10 and 6.
  7. 7.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  8. 8.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  9. 9.Find the LCM of 13, 3 and 12.
  10. 10.Find the LCM of 4, 11 and 6.
  11. 11.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  12. 12.Find the LCM of 21 and 6.
  13. 13.Find the HCF of 72 and 45.
  14. 14.Find the HCF of 60 and 105.
  15. 15.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  16. 16.Find the HCF of 88 and 99.
  17. 17.Find the HCF of 10 and 35.
  18. 18.Find the LCM of 12 and 16.
  19. 19.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  20. 20.Find the LCM of 4, 14 and 3.
  21. 21.Find the HCF of 33 and 77.
  22. 22.Find the LCM of 10, 11 and 5.
  23. 23.Find the LCM of 18 and 24.
  24. 24.Find the LCM of 5, 7 and 14.
  25. 25.Find the LCM of 5, 15 and 2.
  26. 26.Find the LCM of 7, 11 and 2.
  27. 27.Find the LCM of 9, 13 and 2.
  28. 28.Find the LCM of 3 and 8.
  29. 29.Find the LCM of 35 and 15.
  30. 30.Find the HCF of 9 and 12.
  31. 31.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 35 and 20.
  33. 33.Find the LCM of 10, 2 and 11.
  34. 34.Find the LCM of 30 and 24.
  35. 35.Find the HCF of 27 and 12.
  36. 36.Find the LCM of 21 and 9.
  37. 37.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  38. 38.Find the LCM of 8 and 14.
  39. 39.Find the HCF of 45 and 120.
  40. 40.Find the HCF of 30 and 36.

Answer key

  1. 20
  2. 21
  3. 42
  4. 27
  5. 3
  6. 30
  7. 24
  8. 49
  9. 156
  10. 132
  11. 8
  12. 42
  13. 9
  14. 15
  15. 16
  16. 11
  17. 5
  18. 48
  19. 81
  20. 84
  21. 11
  22. 110
  23. 72
  24. 70
  25. 30
  26. 154
  27. 234
  28. 24
  29. 105
  30. 3
  31. 14
  32. 140
  33. 110
  34. 120
  35. 3
  36. 63
  37. 32
  38. 56
  39. 15
  40. 6

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