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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 843 · 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 28 and 35.
  2. 2.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  3. 3.Find the LCM of 3, 10 and 7.
  4. 4.Find the HCF of 28 and 42.
  5. 5.Find the HCF of 64 and 24.
  6. 6.Find the HCF of 6 and 14.
  7. 7.Find the HCF of 24 and 60.
  8. 8.Find the LCM of 2, 13 and 5.
  9. 9.Find the HCF of 4 and 6.
  10. 10.Find the HCF of 63 and 27.
  11. 11.Find the LCM of 10, 7 and 3.
  12. 12.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  13. 13.Find the HCF of 24 and 21.
  14. 14.Find the LCM of 2, 3 and 14.
  15. 15.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  16. 16.Find the HCF of 14 and 18.
  17. 17.Find the LCM of 5, 6 and 10.
  18. 18.Find the HCF of 36 and 28.
  19. 19.Find the HCF of 44 and 55.
  20. 20.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  21. 21.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?
  22. 22.Find the HCF of 63 and 49.
  23. 23.Find the LCM of 3 and 4.
  24. 24.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  25. 25.Find the HCF of 35 and 49.
  26. 26.Find the HCF of 21 and 18.
  27. 27.Find the HCF of 48 and 108.
  28. 28.Find the LCM of 9 and 12.
  29. 29.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  30. 30.Find the HCF of 135 and 75.
  31. 31.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  32. 32.Find the LCM of 12, 8 and 2.
  33. 33.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  34. 34.Find the LCM of 20 and 36.
  35. 35.Find the HCF of 27 and 36.
  36. 36.Find the HCF of 35 and 10.
  37. 37.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  38. 38.Find the HCF of 126 and 56.
  39. 39.Find the LCM of 32 and 12.
  40. 40.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?

Answer key

  1. 7
  2. 30
  3. 210
  4. 14
  5. 8
  6. 2
  7. 12
  8. 130
  9. 2
  10. 9
  11. 210
  12. 64
  13. 3
  14. 42
  15. 6
  16. 2
  17. 30
  18. 4
  19. 11
  20. 35
  21. 72
  22. 7
  23. 12
  24. 12
  25. 7
  26. 3
  27. 12
  28. 36
  29. 18
  30. 15
  31. 28
  32. 24
  33. 8
  34. 180
  35. 9
  36. 5
  37. 9
  38. 14
  39. 96
  40. 16

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