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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 902 · 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 24 and 21.
  2. 2.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 27. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  4. 4.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  5. 5.Find the LCM of 48 and 18.
  6. 6.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  7. 7.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 40. What is the other number?
  8. 8.Find the HCF of 65 and 26.
  9. 9.Find the HCF of 15 and 20.
  10. 10.Find the LCM of 7, 9 and 6.
  11. 11.Find the LCM of 10, 3 and 7.
  12. 12.Find the LCM of 12 and 8.
  13. 13.Find the LCM of 54 and 12.
  14. 14.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  15. 15.Find the HCF of 45 and 105.
  16. 16.Find the HCF of 20 and 28.
  17. 17.Find the HCF of 72 and 16.
  18. 18.Find the HCF of 15 and 10.
  19. 19.Find the LCM of 3, 6 and 15.
  20. 20.Find the HCF of 56 and 63.
  21. 21.Find the LCM of 6, 7 and 2.
  22. 22.Find the LCM of 2, 7 and 12.
  23. 23.Find the HCF of 33 and 44.
  24. 24.Find the HCF of 81 and 45.
  25. 25.Find the LCM of 5, 9 and 6.
  26. 26.Find the LCM of 12, 2 and 14.
  27. 27.Find the HCF of 98 and 28.
  28. 28.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  29. 29.Find the HCF of 49 and 35.
  30. 30.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  31. 31.Find the LCM of 8, 4 and 2.
  32. 32.Find the HCF of 105 and 75.
  33. 33.Find the HCF of 42 and 30.
  34. 34.Find the LCM of 12, 2 and 5.
  35. 35.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  36. 36.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  37. 37.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  38. 38.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  39. 39.Find the HCF of 24 and 21.
  40. 40.Find the LCM of 14, 4 and 6.

Answer key

  1. 168
  2. 45
  3. 36
  4. 24
  5. 144
  6. 16
  7. 45
  8. 13
  9. 5
  10. 126
  11. 210
  12. 24
  13. 108
  14. 63
  15. 15
  16. 4
  17. 8
  18. 5
  19. 30
  20. 7
  21. 42
  22. 84
  23. 11
  24. 9
  25. 90
  26. 84
  27. 14
  28. 40
  29. 7
  30. 12
  31. 8
  32. 15
  33. 6
  34. 60
  35. 42
  36. 35
  37. 81
  38. 18
  39. 3
  40. 84

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