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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 827 · 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 56 and 35.
  2. 2.Find the HCF of 35 and 25.
  3. 3.Find the LCM of 3, 5 and 13.
  4. 4.Find the HCF of 18 and 45.
  5. 5.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 21 and 27.
  7. 7.Find the LCM of 3, 6 and 14.
  8. 8.Find the HCF of 42 and 35.
  9. 9.Find the HCF of 60 and 105.
  10. 10.Find the LCM of 18 and 16.
  11. 11.Find the LCM of 16 and 28.
  12. 12.Find the LCM of 11, 7 and 14.
  13. 13.Find the HCF of 98 and 126.
  14. 14.Find the HCF of 30 and 54.
  15. 15.Find the LCM of 6, 14 and 12.
  16. 16.Find the LCM of 20 and 35.
  17. 17.Find the LCM of 15 and 9.
  18. 18.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  19. 19.Find the LCM of 20 and 32.
  20. 20.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  21. 21.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  22. 22.Find the HCF of 60 and 24.
  23. 23.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  24. 24.Find the LCM of 8, 4 and 2.
  25. 25.Find the LCM of 8, 5 and 4.
  26. 26.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  28. 28.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 32. What is the other number?
  29. 29.Find the HCF of 84 and 48.
  30. 30.Find the HCF of 60 and 108.
  31. 31.Find the HCF of 42 and 48.
  32. 32.Find the HCF of 12 and 18.
  33. 33.Find the HCF of 52 and 65.
  34. 34.Find the LCM of 12, 5 and 9.
  35. 35.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  36. 36.Find the LCM of 21 and 24.
  37. 37.Find the LCM of 14 and 6.
  38. 38.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  39. 39.Find the HCF of 50 and 90.
  40. 40.Find the LCM of 25 and 45.

Answer key

  1. 7
  2. 5
  3. 195
  4. 9
  5. 14
  6. 189
  7. 42
  8. 7
  9. 15
  10. 144
  11. 112
  12. 154
  13. 14
  14. 6
  15. 84
  16. 140
  17. 45
  18. 15
  19. 160
  20. 32
  21. 10
  22. 12
  23. 45
  24. 8
  25. 40
  26. 12
  27. 16
  28. 72
  29. 12
  30. 12
  31. 6
  32. 6
  33. 13
  34. 180
  35. 63
  36. 168
  37. 42
  38. 18
  39. 10
  40. 225

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