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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 891 · 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 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  2. 2.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  3. 3.Find the HCF of 20 and 50.
  4. 4.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 45. What is the other number?
  5. 5.Find the LCM of 2, 4 and 3.
  6. 6.Find the LCM of 42 and 30.
  7. 7.Find the LCM of 9, 3 and 5.
  8. 8.Find the HCF of 55 and 99.
  9. 9.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  10. 10.Find the LCM of 3, 9 and 5.
  11. 11.Find the HCF of 65 and 26.
  12. 12.Find the LCM of 12, 8 and 10.
  13. 13.Find the HCF of 99 and 77.
  14. 14.Find the LCM of 9 and 5.
  15. 15.Find the LCM of 2 and 9.
  16. 16.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  17. 17.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 54. What is the other number?
  18. 18.Find the LCM of 4, 11 and 10.
  19. 19.Find the LCM of 9 and 2.
  20. 20.Find the LCM of 15 and 10.
  21. 21.Find the LCM of 24 and 27.
  22. 22.Find the HCF of 84 and 70.
  23. 23.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  24. 24.Find the HCF of 117 and 52.
  25. 25.Find the LCM of 2, 6 and 10.
  26. 26.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  27. 27.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  28. 28.Find the LCM of 15 and 21.
  29. 29.Find the HCF of 75 and 90.
  30. 30.Find the HCF of 33 and 22.
  31. 31.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 8, 14 and 6.
  33. 33.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  34. 34.Find the HCF of 90 and 80.
  35. 35.Find the LCM of 20 and 16.
  36. 36.Find the HCF of 33 and 88.
  37. 37.Find the LCM of 6 and 21.
  38. 38.Find the LCM of 12 and 10.
  39. 39.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?

Answer key

  1. 30
  2. 12
  3. 10
  4. 18
  5. 12
  6. 210
  7. 45
  8. 11
  9. 16
  10. 45
  11. 13
  12. 120
  13. 11
  14. 45
  15. 18
  16. 10
  17. 12
  18. 220
  19. 18
  20. 30
  21. 216
  22. 14
  23. 16
  24. 13
  25. 30
  26. 6
  27. 63
  28. 105
  29. 15
  30. 11
  31. 18
  32. 168
  33. 63
  34. 10
  35. 80
  36. 11
  37. 42
  38. 60
  39. 6
  40. 8

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