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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 790 · 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 12 and 30.
  2. 2.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.Find the HCF of 28 and 126.
  4. 4.Find the LCM of 48 and 18.
  5. 5.Find the HCF of 84 and 70.
  6. 6.Find the LCM of 12, 9 and 5.
  7. 7.Find the LCM of 6 and 7.
  8. 8.Find the HCF of 18 and 8.
  9. 9.Find the HCF of 10 and 8.
  10. 10.Find the LCM of 5, 8 and 6.
  11. 11.Find the LCM of 3 and 2.
  12. 12.Find the LCM of 14, 5 and 15.
  13. 13.Find the HCF of 72 and 60.
  14. 14.Find the LCM of 30 and 24.
  15. 15.Find the HCF of 20 and 30.
  16. 16.Find the LCM of 9, 3 and 13.
  17. 17.Find the LCM of 10 and 8.
  18. 18.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  19. 19.Find the HCF of 28 and 35.
  20. 20.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  21. 21.Find the HCF of 36 and 16.
  22. 22.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  23. 23.Find the LCM of 14 and 8.
  24. 24.Find the LCM of 8, 3 and 12.
  25. 25.Find the LCM of 12 and 20.
  26. 26.Find the LCM of 6, 14 and 3.
  27. 27.Find the LCM of 3, 4 and 7.
  28. 28.Find the HCF of 16 and 28.
  29. 29.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  30. 30.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  31. 31.Find the HCF of 48 and 108.
  32. 32.Find the HCF of 105 and 45.
  33. 33.Find the HCF of 30 and 24.
  34. 34.Find the HCF of 18 and 27.
  35. 35.Find the LCM of 12, 6 and 13.
  36. 36.Find the HCF of 42 and 36.
  37. 37.Find the LCM of 27 and 15.
  38. 38.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  39. 39.Find the LCM of 35 and 30.
  40. 40.Find the LCM of 2 and 3.

Answer key

  1. 6
  2. 28
  3. 14
  4. 144
  5. 14
  6. 180
  7. 42
  8. 2
  9. 2
  10. 120
  11. 6
  12. 210
  13. 12
  14. 120
  15. 10
  16. 117
  17. 40
  18. 18
  19. 7
  20. 27
  21. 4
  22. 40
  23. 56
  24. 24
  25. 60
  26. 42
  27. 84
  28. 4
  29. 20
  30. 35
  31. 12
  32. 15
  33. 6
  34. 9
  35. 156
  36. 6
  37. 135
  38. 36
  39. 210
  40. 6

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