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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 755 · 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 8 and 6.
  2. 2.Find the HCF of 21 and 27.
  3. 3.Find the HCF of 36 and 81.
  4. 4.Find the LCM of 10 and 8.
  5. 5.Find the HCF of 60 and 36.
  6. 6.Find the LCM of 3, 4 and 5.
  7. 7.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  8. 8.Find the LCM of 28 and 12.
  9. 9.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  10. 10.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  11. 11.Find the LCM of 3 and 5.
  12. 12.Find the HCF of 65 and 78.
  13. 13.Find the LCM of 32 and 20.
  14. 14.Find the LCM of 11, 15 and 3.
  15. 15.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  16. 16.Find the LCM of 14, 5 and 7.
  17. 17.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  18. 18.Find the HCF of 55 and 66.
  19. 19.Find the LCM of 9, 12 and 4.
  20. 20.Find the LCM of 35 and 10.
  21. 21.Find the HCF of 54 and 45.
  22. 22.Find the LCM of 48 and 54.
  23. 23.Find the LCM of 5, 6 and 2.
  24. 24.Find the LCM of 3, 2 and 6.
  25. 25.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  26. 26.Find the LCM of 2, 13 and 8.
  27. 27.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  28. 28.Find the LCM of 10 and 12.
  29. 29.Find the LCM of 8, 3 and 7.
  30. 30.Find the HCF of 30 and 42.
  31. 31.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  32. 32.Find the LCM of 7, 15 and 6.
  33. 33.Find the HCF of 42 and 56.
  34. 34.Find the LCM of 4, 14 and 3.
  35. 35.Find the LCM of 27 and 6.
  36. 36.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  37. 37.Find the LCM of 35 and 45.
  38. 38.Find the HCF of 42 and 35.
  39. 39.Find the LCM of 4 and 10.
  40. 40.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?

Answer key

  1. 2
  2. 3
  3. 9
  4. 40
  5. 12
  6. 60
  7. 10
  8. 84
  9. 56
  10. 15
  11. 15
  12. 13
  13. 160
  14. 165
  15. 15
  16. 70
  17. 24
  18. 11
  19. 36
  20. 70
  21. 9
  22. 432
  23. 30
  24. 6
  25. 14
  26. 104
  27. 18
  28. 60
  29. 168
  30. 6
  31. 32
  32. 210
  33. 14
  34. 84
  35. 54
  36. 12
  37. 315
  38. 7
  39. 20
  40. 14

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