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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 955 · 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 21 and 35.
  2. 2.Find the LCM of 35 and 25.
  3. 3.Find the LCM of 15, 4 and 10.
  4. 4.Find the LCM of 6, 9 and 8.
  5. 5.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  6. 6.Find the HCF of 25 and 15.
  7. 7.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  8. 8.Find the HCF of 65 and 104.
  9. 9.Find the LCM of 45 and 35.
  10. 10.Find the HCF of 20 and 32.
  11. 11.Find the HCF of 33 and 88.
  12. 12.Find the LCM of 20 and 15.
  13. 13.Find the LCM of 24 and 28.
  14. 14.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  15. 15.Find the HCF of 10 and 15.
  16. 16.Find the HCF of 45 and 30.
  17. 17.Find the LCM of 24 and 21.
  18. 18.Find the LCM of 7 and 8.
  19. 19.Find the HCF of 28 and 24.
  20. 20.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 25 and 30.
  22. 22.Find the HCF of 56 and 40.
  23. 23.Find the HCF of 24 and 27.
  24. 24.Find the LCM of 15, 10 and 12.
  25. 25.Find the LCM of 9 and 21.
  26. 26.Find the LCM of 5, 4 and 6.
  27. 27.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  28. 28.Find the LCM of 18 and 8.
  29. 29.Find the HCF of 63 and 56.
  30. 30.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  31. 31.Find the LCM of 3 and 4.
  32. 32.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  33. 33.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  34. 34.Find the LCM of 3, 7 and 5.
  35. 35.Find the HCF of 35 and 20.
  36. 36.Find the HCF of 10 and 12.
  37. 37.Find the HCF of 54 and 45.
  38. 38.Find the LCM of 5 and 3.
  39. 39.Find the LCM of 28 and 8.
  40. 40.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?

Answer key

  1. 7
  2. 175
  3. 60
  4. 72
  5. 6
  6. 5
  7. 42
  8. 13
  9. 315
  10. 4
  11. 11
  12. 60
  13. 168
  14. 40
  15. 5
  16. 15
  17. 168
  18. 56
  19. 4
  20. 48
  21. 150
  22. 8
  23. 3
  24. 60
  25. 63
  26. 60
  27. 42
  28. 72
  29. 7
  30. 9
  31. 12
  32. 15
  33. 32
  34. 105
  35. 5
  36. 2
  37. 9
  38. 15
  39. 56
  40. 4

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