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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 331 · 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 91 and 104.
  2. 2.Find the HCF of 88 and 77.
  3. 3.Find the LCM of 15, 14 and 7.
  4. 4.Find the LCM of 15 and 10.
  5. 5.Find the HCF of 20 and 12.
  6. 6.Find the HCF of 12 and 21.
  7. 7.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  8. 8.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 16. What is the other number?
  9. 9.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  10. 10.Find the LCM of 4 and 18.
  11. 11.Find the LCM of 5, 10 and 13.
  12. 12.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 72. What is the other number?
  13. 13.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  14. 14.Find the HCF of 18 and 10.
  15. 15.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  16. 16.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  17. 17.Find the LCM of 24 and 21.
  18. 18.Find the HCF of 14 and 4.
  19. 19.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  20. 20.Find the LCM of 7 and 4.
  21. 21.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  22. 22.Find the HCF of 54 and 24.
  23. 23.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  24. 24.Find the LCM of 18 and 10.
  25. 25.Find the LCM of 8 and 20.
  26. 26.Find the LCM of 48 and 18.
  27. 27.Find the HCF of 84 and 98.
  28. 28.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  29. 29.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  30. 30.Find the HCF of 49 and 28.
  31. 31.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 14 and 18.
  33. 33.Find the LCM of 15, 8 and 3.
  34. 34.Find the LCM of 42 and 18.
  35. 35.Find the LCM of 8 and 7.
  36. 36.Find the HCF of 30 and 18.
  37. 37.Find the LCM of 4, 12 and 10.
  38. 38.Find the LCM of 15, 14 and 5.
  39. 39.Find the HCF of 9 and 12.
  40. 40.Find the LCM of 15 and 27.

Answer key

  1. 13
  2. 11
  3. 210
  4. 30
  5. 4
  6. 3
  7. 35
  8. 18
  9. 10
  10. 36
  11. 130
  12. 27
  13. 63
  14. 2
  15. 40
  16. 12
  17. 168
  18. 2
  19. 6
  20. 28
  21. 16
  22. 6
  23. 21
  24. 90
  25. 40
  26. 144
  27. 14
  28. 6
  29. 49
  30. 7
  31. 12
  32. 126
  33. 120
  34. 126
  35. 56
  36. 6
  37. 60
  38. 210
  39. 3
  40. 135

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