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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 803 · 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 LCM of 14, 10 and 2.
  2. 2.Find the LCM of 6, 10 and 14.
  3. 3.Find the HCF of 4 and 6.
  4. 4.Find the LCM of 10, 4 and 5.
  5. 5.Find the HCF of 96 and 60.
  6. 6.Find the HCF of 90 and 75.
  7. 7.Find the HCF of 78 and 65.
  8. 8.Find the LCM of 4, 12 and 3.
  9. 9.Find the HCF of 64 and 24.
  10. 10.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  11. 11.Find the HCF of 33 and 22.
  12. 12.Find the HCF of 99 and 77.
  13. 13.Find the HCF of 63 and 49.
  14. 14.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  15. 15.Find the LCM of 6, 5 and 3.
  16. 16.Find the LCM of 7 and 9.
  17. 17.Find the HCF of 80 and 70.
  18. 18.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  19. 19.Find the HCF of 45 and 35.
  20. 20.Find the LCM of 8 and 6.
  21. 21.Find the HCF of 45 and 25.
  22. 22.Find the LCM of 10 and 8.
  23. 23.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  25. 25.Find the HCF of 48 and 36.
  26. 26.Find the HCF of 16 and 20.
  27. 27.Find the LCM of 7 and 2.
  28. 28.Find the HCF of 88 and 55.
  29. 29.Find the LCM of 6 and 14.
  30. 30.Find the LCM of 25 and 10.
  31. 31.Find the LCM of 18 and 12.
  32. 32.Find the LCM of 9 and 5.
  33. 33.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  34. 34.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  35. 35.Find the HCF of 75 and 135.
  36. 36.Find the LCM of 28 and 16.
  37. 37.Find the HCF of 65 and 91.
  38. 38.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  39. 39.Find the LCM of 3, 5 and 4.
  40. 40.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?

Answer key

  1. 70
  2. 210
  3. 2
  4. 20
  5. 12
  6. 15
  7. 13
  8. 12
  9. 8
  10. 9
  11. 11
  12. 11
  13. 7
  14. 15
  15. 30
  16. 63
  17. 10
  18. 14
  19. 5
  20. 24
  21. 5
  22. 40
  23. 10
  24. 42
  25. 12
  26. 4
  27. 14
  28. 11
  29. 42
  30. 50
  31. 36
  32. 45
  33. 49
  34. 18
  35. 15
  36. 112
  37. 13
  38. 12
  39. 60
  40. 15

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