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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 472 · 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 25 and 45.
  2. 2.Find the LCM of 48 and 18.
  3. 3.Find the LCM of 3, 5 and 4.
  4. 4.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  5. 5.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  6. 6.Find the LCM of 32 and 28.
  7. 7.Find the HCF of 40 and 64.
  8. 8.Find the LCM of 20 and 28.
  9. 9.Find the HCF of 98 and 84.
  10. 10.Find the HCF of 42 and 36.
  11. 11.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  12. 12.Find the LCM of 3, 8 and 5.
  13. 13.Find the LCM of 4, 11 and 3.
  14. 14.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 24. What is the other number?
  15. 15.Find the LCM of 14, 5 and 4.
  16. 16.Find the HCF of 20 and 28.
  17. 17.Find the LCM of 5 and 7.
  18. 18.Find the HCF of 77 and 33.
  19. 19.Find the HCF of 35 and 21.
  20. 20.Find the HCF of 80 and 70.
  21. 21.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  22. 22.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  23. 23.Find the LCM of 42 and 54.
  24. 24.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  25. 25.Find the HCF of 30 and 20.
  26. 26.Find the LCM of 5 and 2.
  27. 27.Find the LCM of 5, 4 and 15.
  28. 28.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  29. 29.Find the LCM of 12, 15 and 9.
  30. 30.Find the LCM of 6 and 8.
  31. 31.Find the LCM of 36 and 42.
  32. 32.Find the LCM of 8 and 6.
  33. 33.Find the LCM of 6 and 27.
  34. 34.Find the LCM of 6, 10 and 5.
  35. 35.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  36. 36.Find the HCF of 60 and 84.
  37. 37.Find the LCM of 7, 9 and 6.
  38. 38.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  39. 39.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  40. 40.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?

Answer key

  1. 5
  2. 144
  3. 60
  4. 4
  5. 40
  6. 224
  7. 8
  8. 140
  9. 14
  10. 6
  11. 16
  12. 120
  13. 132
  14. 20
  15. 140
  16. 4
  17. 35
  18. 11
  19. 7
  20. 10
  21. 40
  22. 32
  23. 378
  24. 63
  25. 10
  26. 10
  27. 60
  28. 8
  29. 180
  30. 24
  31. 252
  32. 24
  33. 54
  34. 30
  35. 35
  36. 12
  37. 126
  38. 18
  39. 21
  40. 63

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