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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 878 · 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.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  2. 2.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 21 and 27.
  4. 4.Find the HCF of 104 and 117.
  5. 5.Find the LCM of 12, 5 and 6.
  6. 6.Find the HCF of 18 and 15.
  7. 7.Find the HCF of 91 and 104.
  8. 8.Find the HCF of 40 and 15.
  9. 9.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  10. 10.Find the HCF of 56 and 21.
  11. 11.Find the LCM of 25 and 10.
  12. 12.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  13. 13.Find the HCF of 135 and 30.
  14. 14.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  15. 15.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  16. 16.Find the LCM of 3, 9 and 7.
  17. 17.Find the HCF of 30 and 20.
  18. 18.Find the LCM of 20 and 32.
  19. 19.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  20. 20.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  21. 21.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  22. 22.Find the HCF of 90 and 105.
  23. 23.Find the LCM of 13, 12 and 6.
  24. 24.Find the LCM of 11, 3 and 5.
  25. 25.Find the HCF of 36 and 96.
  26. 26.Find the LCM of 2, 4 and 6.
  27. 27.Find the HCF of 12 and 8.
  28. 28.Find the HCF of 8 and 28.
  29. 29.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  30. 30.Find the HCF of 21 and 27.
  31. 31.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  32. 32.Find the LCM of 4, 10 and 12.
  33. 33.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  34. 34.Find the LCM of 9, 5 and 4.
  35. 35.Find the HCF of 27 and 12.
  36. 36.Find the HCF of 28 and 20.
  37. 37.Find the LCM of 4 and 18.
  38. 38.Find the LCM of 27 and 15.
  39. 39.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  40. 40.Find the LCM of 3, 12 and 5.

Answer key

  1. 72
  2. 10
  3. 189
  4. 13
  5. 60
  6. 3
  7. 13
  8. 5
  9. 8
  10. 7
  11. 50
  12. 45
  13. 15
  14. 35
  15. 49
  16. 63
  17. 10
  18. 160
  19. 16
  20. 35
  21. 16
  22. 15
  23. 156
  24. 165
  25. 12
  26. 12
  27. 4
  28. 4
  29. 42
  30. 3
  31. 27
  32. 60
  33. 18
  34. 180
  35. 3
  36. 4
  37. 36
  38. 135
  39. 63
  40. 60

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