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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 918 · 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 75. One of the numbers is 15. What is the other number?
  2. 2.Find the HCF of 16 and 18.
  3. 3.Find the HCF of 35 and 49.
  4. 4.Find the LCM of 12 and 54.
  5. 5.Find the HCF of 81 and 36.
  6. 6.Find the HCF of 12 and 15.
  7. 7.Find the LCM of 7 and 2.
  8. 8.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 28. What is the other number?
  9. 9.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  10. 10.Find the LCM of 14 and 12.
  11. 11.Find the HCF of 24 and 18.
  12. 12.Find the HCF of 80 and 30.
  13. 13.Find the LCM of 2, 11 and 8.
  14. 14.Find the HCF of 56 and 21.
  15. 15.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  16. 16.Find the HCF of 40 and 64.
  17. 17.Find the LCM of 14, 12 and 3.
  18. 18.Find the LCM of 15 and 25.
  19. 19.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  20. 20.Find the LCM of 2, 8 and 5.
  21. 21.Find the HCF of 36 and 48.
  22. 22.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  23. 23.Find the LCM of 9 and 7.
  24. 24.Find the LCM of 7, 4 and 12.
  25. 25.Find the LCM of 8, 3 and 9.
  26. 26.Find the LCM of 8, 5 and 6.
  27. 27.Find the LCM of 32 and 28.
  28. 28.Find the LCM of 15, 14 and 6.
  29. 29.Find the HCF of 40 and 48.
  30. 30.Find the LCM of 54 and 12.
  31. 31.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  32. 32.Find the HCF of 112 and 42.
  33. 33.Find the HCF of 35 and 45.
  34. 34.Find the LCM of 2, 10 and 8.
  35. 35.Find the HCF of 70 and 126.
  36. 36.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 15, 2 and 6.
  38. 38.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  39. 39.Find the LCM of 5 and 7.
  40. 40.Find the LCM of 13, 2 and 4.

Answer key

  1. 25
  2. 2
  3. 7
  4. 108
  5. 9
  6. 3
  7. 14
  8. 16
  9. 35
  10. 84
  11. 6
  12. 10
  13. 88
  14. 7
  15. 54
  16. 8
  17. 84
  18. 75
  19. 15
  20. 40
  21. 12
  22. 20
  23. 63
  24. 84
  25. 72
  26. 120
  27. 224
  28. 210
  29. 8
  30. 108
  31. 6
  32. 14
  33. 5
  34. 40
  35. 14
  36. 30
  37. 30
  38. 35
  39. 35
  40. 52

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