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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 86 · 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 160. One of the numbers is 20. What is the other number?
  2. 2.Find the HCF of 36 and 63.
  3. 3.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 12, 3 and 8.
  6. 6.Find the HCF of 9 and 21.
  7. 7.Find the LCM of 6, 8 and 5.
  8. 8.Find the LCM of 15, 12 and 4.
  9. 9.Find the HCF of 98 and 84.
  10. 10.Find the LCM of 10, 14 and 6.
  11. 11.Find the LCM of 10 and 45.
  12. 12.Find the HCF of 42 and 54.
  13. 13.Find the LCM of 4, 6 and 3.
  14. 14.Find the HCF of 4 and 14.
  15. 15.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  16. 16.Find the LCM of 6, 12 and 7.
  17. 17.Find the LCM of 3, 8 and 10.
  18. 18.Find the LCM of 15, 8 and 10.
  19. 19.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  20. 20.Find the HCF of 60 and 84.
  21. 21.Find the LCM of 6 and 5.
  22. 22.Find the HCF of 35 and 25.
  23. 23.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  24. 24.Find the LCM of 2 and 3.
  25. 25.Find the HCF of 28 and 98.
  26. 26.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  27. 27.Find the LCM of 14 and 16.
  28. 28.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  29. 29.Find the HCF of 45 and 30.
  30. 30.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 28. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  32. 32.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 20 and 12.
  34. 34.Find the HCF of 45 and 120.
  35. 35.Find the LCM of 2 and 5.
  36. 36.Find the LCM of 5, 4 and 14.
  37. 37.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  38. 38.Find the LCM of 4, 2 and 3.
  39. 39.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  40. 40.Find the HCF of 75 and 90.

Answer key

  1. 32
  2. 9
  3. 6
  4. 32
  5. 24
  6. 3
  7. 120
  8. 60
  9. 14
  10. 210
  11. 90
  12. 6
  13. 12
  14. 2
  15. 56
  16. 84
  17. 120
  18. 120
  19. 72
  20. 12
  21. 30
  22. 5
  23. 24
  24. 6
  25. 14
  26. 25
  27. 112
  28. 32
  29. 15
  30. 49
  31. 21
  32. 36
  33. 60
  34. 15
  35. 10
  36. 140
  37. 21
  38. 12
  39. 18
  40. 15

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