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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 855 · 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 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  2. 2.Find the LCM of 9 and 21.
  3. 3.Find the LCM of 11, 4 and 10.
  4. 4.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  5. 5.Find the LCM of 11, 10 and 5.
  6. 6.Find the LCM of 2, 9 and 5.
  7. 7.Find the LCM of 3 and 4.
  8. 8.Find the HCF of 33 and 77.
  9. 9.Find the HCF of 22 and 55.
  10. 10.Find the LCM of 42 and 12.
  11. 11.Find the HCF of 88 and 33.
  12. 12.Find the LCM of 10, 8 and 5.
  13. 13.Find the LCM of 2, 4 and 6.
  14. 14.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  15. 15.Find the LCM of 20 and 24.
  16. 16.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  17. 17.Find the LCM of 15 and 21.
  18. 18.Find the HCF of 52 and 91.
  19. 19.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  20. 20.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  21. 21.Find the LCM of 16 and 6.
  22. 22.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  23. 23.Find the LCM of 6, 5 and 9.
  24. 24.Find the LCM of 25 and 30.
  25. 25.Find the LCM of 9 and 8.
  26. 26.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  27. 27.Find the HCF of 77 and 55.
  28. 28.Find the HCF of 9 and 6.
  29. 29.Find the LCM of 8, 4 and 7.
  30. 30.Find the HCF of 8 and 20.
  31. 31.Find the LCM of 8, 5 and 15.
  32. 32.Find the LCM of 12, 2 and 6.
  33. 33.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  34. 34.Find the LCM of 30 and 54.
  35. 35.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  36. 36.Find the LCM of 5, 6 and 8.
  37. 37.Find the HCF of 20 and 45.
  38. 38.Find the LCM of 3, 7 and 11.
  39. 39.Find the HCF of 14 and 12.
  40. 40.Find the HCF of 48 and 54.

Answer key

  1. 9
  2. 63
  3. 220
  4. 54
  5. 110
  6. 90
  7. 12
  8. 11
  9. 11
  10. 84
  11. 11
  12. 40
  13. 12
  14. 21
  15. 120
  16. 64
  17. 105
  18. 13
  19. 18
  20. 15
  21. 48
  22. 18
  23. 90
  24. 150
  25. 72
  26. 15
  27. 11
  28. 3
  29. 56
  30. 4
  31. 120
  32. 12
  33. 24
  34. 270
  35. 21
  36. 120
  37. 5
  38. 231
  39. 2
  40. 6

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