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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 949 · 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 HCF of 35 and 20.
  2. 2.Find the LCM of 21 and 15.
  3. 3.Find the LCM of 10 and 8.
  4. 4.Find the LCM of 2, 8 and 5.
  5. 5.Find the HCF of 81 and 45.
  6. 6.Find the HCF of 72 and 63.
  7. 7.Find the HCF of 60 and 50.
  8. 8.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  9. 9.Find the LCM of 12 and 27.
  10. 10.Find the HCF of 72 and 56.
  11. 11.Find the LCM of 6, 2 and 13.
  12. 12.Find the LCM of 7, 6 and 14.
  13. 13.Find the HCF of 16 and 36.
  14. 14.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  15. 15.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  16. 16.Find the LCM of 5, 3 and 10.
  17. 17.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 15, 3 and 14.
  19. 19.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  20. 20.Find the HCF of 24 and 18.
  21. 21.Find the HCF of 4 and 14.
  22. 22.Find the HCF of 98 and 70.
  23. 23.Find the HCF of 99 and 55.
  24. 24.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  25. 25.Find the LCM of 30 and 24.
  26. 26.Find the LCM of 8, 2 and 15.
  27. 27.Find the HCF of 48 and 18.
  28. 28.Find the HCF of 65 and 26.
  29. 29.Find the HCF of 105 and 135.
  30. 30.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  31. 31.Find the LCM of 18 and 42.
  32. 32.Find the LCM of 4, 6 and 2.
  33. 33.Find the LCM of 6, 9 and 11.
  34. 34.Find the LCM of 30 and 42.
  35. 35.Find the HCF of 10 and 15.
  36. 36.Find the HCF of 24 and 27.
  37. 37.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  38. 38.Find the LCM of 2, 13 and 3.
  39. 39.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 63. What is the other number?
  40. 40.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 81. What is the other number?

Answer key

  1. 5
  2. 105
  3. 40
  4. 40
  5. 9
  6. 9
  7. 10
  8. 4
  9. 108
  10. 8
  11. 78
  12. 42
  13. 4
  14. 10
  15. 42
  16. 30
  17. 45
  18. 210
  19. 56
  20. 6
  21. 2
  22. 14
  23. 11
  24. 32
  25. 120
  26. 120
  27. 6
  28. 13
  29. 15
  30. 21
  31. 126
  32. 12
  33. 198
  34. 210
  35. 5
  36. 3
  37. 16
  38. 78
  39. 54
  40. 45

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