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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 916 · 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 280. One of the numbers is 40. What is the other number?
  2. 2.Find the LCM of 10 and 16.
  3. 3.Find the HCF of 15 and 9.
  4. 4.Find the LCM of 42 and 54.
  5. 5.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  6. 6.Find the LCM of 10, 6 and 8.
  7. 7.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  8. 8.Find the LCM of 4, 15 and 2.
  9. 9.Find the HCF of 56 and 42.
  10. 10.Find the LCM of 5, 15 and 2.
  11. 11.Find the HCF of 65 and 78.
  12. 12.Find the LCM of 3 and 4.
  13. 13.Find the LCM of 7 and 8.
  14. 14.Find the HCF of 30 and 35.
  15. 15.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  16. 16.Find the HCF of 63 and 56.
  17. 17.Find the HCF of 56 and 21.
  18. 18.Find the HCF of 60 and 24.
  19. 19.Find the LCM of 40 and 15.
  20. 20.Find the LCM of 2, 9 and 7.
  21. 21.Find the HCF of 12 and 21.
  22. 22.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 16. What is the other number?
  23. 23.Find the HCF of 55 and 44.
  24. 24.Find the LCM of 24 and 15.
  25. 25.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  26. 26.Find the LCM of 4, 5 and 7.
  27. 27.Find the HCF of 72 and 16.
  28. 28.Find the HCF of 50 and 40.
  29. 29.Find the HCF of 40 and 25.
  30. 30.Find the LCM of 3, 6 and 2.
  31. 31.Find the LCM of 12, 4 and 15.
  32. 32.Find the LCM of 8, 3 and 5.
  33. 33.Find the HCF of 28 and 12.
  34. 34.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  35. 35.Find the LCM of 2, 7 and 5.
  36. 36.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  37. 37.Find the LCM of 16 and 14.
  38. 38.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  39. 39.Find the HCF of 105 and 30.
  40. 40.Find the HCF of 21 and 27.

Answer key

  1. 35
  2. 80
  3. 3
  4. 378
  5. 21
  6. 120
  7. 12
  8. 60
  9. 14
  10. 30
  11. 13
  12. 12
  13. 56
  14. 5
  15. 63
  16. 7
  17. 7
  18. 12
  19. 120
  20. 126
  21. 3
  22. 56
  23. 11
  24. 120
  25. 49
  26. 140
  27. 8
  28. 10
  29. 5
  30. 6
  31. 60
  32. 120
  33. 4
  34. 24
  35. 70
  36. 48
  37. 112
  38. 30
  39. 15
  40. 3

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