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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 859 · 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 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  2. 2.Find the HCF of 98 and 84.
  3. 3.Find the HCF of 18 and 21.
  4. 4.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  5. 5.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  6. 6.Find the HCF of 60 and 48.
  7. 7.Find the LCM of 8 and 3.
  8. 8.Find the LCM of 2, 8 and 12.
  9. 9.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  10. 10.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  11. 11.Find the LCM of 4 and 10.
  12. 12.Find the HCF of 54 and 42.
  13. 13.Find the HCF of 98 and 28.
  14. 14.Find the LCM of 9, 15 and 10.
  15. 15.Find the LCM of 28 and 8.
  16. 16.Find the LCM of 9 and 12.
  17. 17.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  18. 18.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  19. 19.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  20. 20.Find the LCM of 2, 4 and 14.
  21. 21.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  22. 22.Find the LCM of 7, 2 and 5.
  23. 23.Find the LCM of 18 and 42.
  24. 24.Find the LCM of 10, 14 and 3.
  25. 25.Find the HCF of 45 and 25.
  26. 26.Find the LCM of 35 and 10.
  27. 27.Find the LCM of 36 and 16.
  28. 28.Find the HCF of 40 and 35.
  29. 29.Find the HCF of 21 and 56.
  30. 30.Find the LCM of 36 and 30.
  31. 31.Find the HCF of 28 and 63.
  32. 32.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  33. 33.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  34. 34.Find the LCM of 24 and 15.
  35. 35.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  36. 36.Find the HCF of 135 and 75.
  37. 37.Find the HCF of 35 and 25.
  38. 38.Find the LCM of 5, 8 and 12.
  39. 39.Find the LCM of 2, 12 and 10.
  40. 40.Find the LCM of 6, 8 and 12.

Answer key

  1. 49
  2. 14
  3. 3
  4. 56
  5. 56
  6. 12
  7. 24
  8. 24
  9. 28
  10. 4
  11. 20
  12. 6
  13. 14
  14. 90
  15. 56
  16. 36
  17. 9
  18. 12
  19. 18
  20. 28
  21. 12
  22. 70
  23. 126
  24. 210
  25. 5
  26. 70
  27. 144
  28. 5
  29. 7
  30. 180
  31. 7
  32. 14
  33. 72
  34. 120
  35. 56
  36. 15
  37. 5
  38. 120
  39. 60
  40. 24

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