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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 937 · 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 55 and 99.
  2. 2.Find the LCM of 4, 6 and 15.
  3. 3.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  4. 4.Find the HCF of 126 and 98.
  5. 5.Find the HCF of 42 and 48.
  6. 6.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  7. 7.Find the LCM of 27 and 21.
  8. 8.Find the LCM of 12, 15 and 3.
  9. 9.Find the LCM of 21 and 9.
  10. 10.Find the HCF of 30 and 50.
  11. 11.Find the LCM of 42 and 48.
  12. 12.Find the LCM of 10, 11 and 2.
  13. 13.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  14. 14.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  15. 15.Find the LCM of 45 and 10.
  16. 16.Find the HCF of 104 and 39.
  17. 17.Find the LCM of 14 and 6.
  18. 18.Find the LCM of 28 and 32.
  19. 19.Find the HCF of 91 and 39.
  20. 20.Find the LCM of 30 and 18.
  21. 21.Find the LCM of 3 and 8.
  22. 22.Find the LCM of 27 and 15.
  23. 23.Find the LCM of 3, 15 and 2.
  24. 24.Find the LCM of 10 and 14.
  25. 25.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  26. 26.Find the LCM of 6, 4 and 5.
  27. 27.Find the HCF of 22 and 55.
  28. 28.Find the HCF of 12 and 20.
  29. 29.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 36 and 16.
  31. 31.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  32. 32.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  33. 33.Find the LCM of 5, 4 and 3.
  34. 34.Find the LCM of 7, 2 and 11.
  35. 35.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  36. 36.Find the LCM of 8 and 12.
  37. 37.Find the HCF of 52 and 39.
  38. 38.Find the LCM of 4, 12 and 11.
  39. 39.Find the HCF of 75 and 60.
  40. 40.Find the LCM of 3, 2 and 15.

Answer key

  1. 11
  2. 60
  3. 4
  4. 14
  5. 6
  6. 21
  7. 189
  8. 60
  9. 63
  10. 10
  11. 336
  12. 110
  13. 20
  14. 32
  15. 90
  16. 13
  17. 42
  18. 224
  19. 13
  20. 90
  21. 24
  22. 135
  23. 30
  24. 70
  25. 27
  26. 60
  27. 11
  28. 4
  29. 14
  30. 144
  31. 81
  32. 10
  33. 60
  34. 154
  35. 36
  36. 24
  37. 13
  38. 132
  39. 15
  40. 30

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