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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 967 · 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 3, 9 and 5.
  2. 2.Find the HCF of 9 and 21.
  3. 3.Find the HCF of 40 and 64.
  4. 4.Find the HCF of 30 and 48.
  5. 5.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  6. 6.Find the LCM of 27 and 21.
  7. 7.Find the LCM of 4, 13 and 3.
  8. 8.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  9. 9.Find the HCF of 30 and 105.
  10. 10.Find the HCF of 6 and 16.
  11. 11.Find the HCF of 77 and 99.
  12. 12.Find the LCM of 42 and 36.
  13. 13.Find the LCM of 8, 4 and 6.
  14. 14.Find the HCF of 18 and 45.
  15. 15.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  16. 16.Find the HCF of 9 and 12.
  17. 17.Find the LCM of 11, 6 and 12.
  18. 18.Find the LCM of 14, 3 and 4.
  19. 19.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  20. 20.Find the HCF of 36 and 8.
  21. 21.Find the HCF of 40 and 25.
  22. 22.Find the HCF of 80 and 30.
  23. 23.Find the LCM of 2, 7 and 5.
  24. 24.Find the HCF of 40 and 30.
  25. 25.Find the LCM of 10, 6 and 3.
  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.Find the LCM of 3, 15 and 8.
  28. 28.Find the HCF of 24 and 21.
  29. 29.Find the LCM of 21 and 24.
  30. 30.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  31. 31.Find the HCF of 24 and 18.
  32. 32.Find the HCF of 70 and 56.
  33. 33.Find the HCF of 48 and 54.
  34. 34.Find the HCF of 98 and 112.
  35. 35.Find the LCM of 8 and 14.
  36. 36.Find the HCF of 50 and 70.
  37. 37.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  38. 38.Find the LCM of 30 and 35.
  39. 39.Find the HCF of 40 and 90.
  40. 40.Find the LCM of 10, 8 and 4.

Answer key

  1. 45
  2. 3
  3. 8
  4. 6
  5. 40
  6. 189
  7. 156
  8. 40
  9. 15
  10. 2
  11. 11
  12. 252
  13. 24
  14. 9
  15. 24
  16. 3
  17. 132
  18. 84
  19. 21
  20. 4
  21. 5
  22. 10
  23. 70
  24. 10
  25. 30
  26. 12
  27. 120
  28. 3
  29. 168
  30. 32
  31. 6
  32. 14
  33. 6
  34. 14
  35. 56
  36. 10
  37. 4
  38. 210
  39. 10
  40. 40

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