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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 985 · 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 33 and 44.
  2. 2.Find the LCM of 36 and 28.
  3. 3.Find the LCM of 12 and 21.
  4. 4.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  5. 5.Find the LCM of 18 and 16.
  6. 6.Find the HCF of 22 and 33.
  7. 7.Find the LCM of 4 and 5.
  8. 8.Find the HCF of 36 and 30.
  9. 9.Find the LCM of 12, 11 and 4.
  10. 10.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  12. 12.Find the LCM of 5 and 7.
  13. 13.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  14. 14.Find the LCM of 3, 14 and 15.
  15. 15.Find the HCF of 24 and 32.
  16. 16.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  17. 17.Find the HCF of 15 and 25.
  18. 18.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  19. 19.Find the LCM of 28 and 32.
  20. 20.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  21. 21.Find the HCF of 60 and 72.
  22. 22.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  23. 23.Find the LCM of 12 and 15.
  24. 24.Find the LCM of 30 and 48.
  25. 25.Find the HCF of 21 and 27.
  26. 26.Find the HCF of 18 and 42.
  27. 27.Find the HCF of 36 and 20.
  28. 28.Find the HCF of 66 and 77.
  29. 29.Find the HCF of 28 and 32.
  30. 30.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  31. 31.Find the LCM of 7, 2 and 9.
  32. 32.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 40. What is the other number?
  33. 33.Find the LCM of 10, 9 and 3.
  34. 34.Find the LCM of 7, 5 and 10.
  35. 35.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  36. 36.Find the LCM of 4 and 10.
  37. 37.Find the HCF of 36 and 84.
  38. 38.Find the LCM of 10 and 4.
  39. 39.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  40. 40.Find the LCM of 28 and 12.

Answer key

  1. 11
  2. 252
  3. 84
  4. 6
  5. 144
  6. 11
  7. 20
  8. 6
  9. 132
  10. 64
  11. 21
  12. 35
  13. 25
  14. 210
  15. 8
  16. 16
  17. 5
  18. 6
  19. 224
  20. 12
  21. 12
  22. 25
  23. 60
  24. 240
  25. 3
  26. 6
  27. 4
  28. 11
  29. 4
  30. 12
  31. 126
  32. 15
  33. 90
  34. 70
  35. 48
  36. 20
  37. 12
  38. 20
  39. 63
  40. 84

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