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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 993 · 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 24 and 9.
  2. 2.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  3. 3.Find the LCM of 12, 13 and 2.
  4. 4.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  5. 5.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  6. 6.Find the HCF of 45 and 30.
  7. 7.Find the LCM of 8 and 3.
  8. 8.Find the HCF of 6 and 4.
  9. 9.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  10. 10.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  11. 11.Find the LCM of 6, 9 and 3.
  12. 12.Find the HCF of 42 and 24.
  13. 13.Find the HCF of 56 and 24.
  14. 14.Find the HCF of 45 and 35.
  15. 15.Find the HCF of 108 and 60.
  16. 16.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  17. 17.Find the HCF of 72 and 27.
  18. 18.Find the LCM of 3, 7 and 2.
  19. 19.Find the LCM of 4, 11 and 10.
  20. 20.Find the LCM of 16 and 10.
  21. 21.Find the LCM of 15, 10 and 7.
  22. 22.Find the LCM of 16 and 20.
  23. 23.Find the HCF of 105 and 90.
  24. 24.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  25. 25.Find the HCF of 91 and 52.
  26. 26.Find the LCM of 5 and 3.
  27. 27.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  28. 28.Find the HCF of 56 and 72.
  29. 29.Find the LCM of 25 and 15.
  30. 30.Find the HCF of 4 and 10.
  31. 31.Find the LCM of 32 and 28.
  32. 32.Find the LCM of 4, 6 and 3.
  33. 33.Find the LCM of 10, 3 and 12.
  34. 34.Find the LCM of 18 and 14.
  35. 35.Find the HCF of 135 and 105.
  36. 36.Find the LCM of 6 and 10.
  37. 37.Find the LCM of 8, 14 and 4.
  38. 38.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  39. 39.Find the HCF of 42 and 12.
  40. 40.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?

Answer key

  1. 3
  2. 45
  3. 156
  4. 6
  5. 14
  6. 15
  7. 24
  8. 2
  9. 14
  10. 35
  11. 18
  12. 6
  13. 8
  14. 5
  15. 12
  16. 40
  17. 9
  18. 42
  19. 220
  20. 80
  21. 210
  22. 80
  23. 15
  24. 21
  25. 13
  26. 15
  27. 8
  28. 8
  29. 75
  30. 2
  31. 224
  32. 12
  33. 60
  34. 126
  35. 15
  36. 30
  37. 56
  38. 49
  39. 6
  40. 20

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