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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 386 · 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 16 and 28.
  2. 2.Find the LCM of 13, 2 and 7.
  3. 3.Find the HCF of 6 and 15.
  4. 4.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  5. 5.Find the HCF of 56 and 42.
  6. 6.Find the LCM of 40 and 25.
  7. 7.Find the LCM of 24 and 9.
  8. 8.Find the HCF of 8 and 6.
  9. 9.Find the LCM of 45 and 25.
  10. 10.Find the HCF of 56 and 21.
  11. 11.Find the LCM of 20 and 45.
  12. 12.Find the HCF of 28 and 20.
  13. 13.Find the HCF of 70 and 98.
  14. 14.Find the LCM of 10, 6 and 15.
  15. 15.Find the HCF of 99 and 44.
  16. 16.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  17. 17.Find the HCF of 36 and 24.
  18. 18.Find the LCM of 7, 3 and 6.
  19. 19.Find the HCF of 88 and 55.
  20. 20.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  21. 21.Find the LCM of 4 and 6.
  22. 22.Find the LCM of 5 and 6.
  23. 23.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  24. 24.Find the LCM of 28 and 32.
  25. 25.Find the LCM of 10 and 35.
  26. 26.Find the HCF of 16 and 12.
  27. 27.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  28. 28.Find the LCM of 2, 12 and 9.
  29. 29.Find the LCM of 12 and 16.
  30. 30.Find the LCM of 13, 12 and 3.
  31. 31.Find the LCM of 35 and 45.
  32. 32.Find the LCM of 5 and 2.
  33. 33.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  34. 34.Find the LCM of 45 and 40.
  35. 35.Find the HCF of 44 and 33.
  36. 36.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  37. 37.Find the LCM of 24 and 30.
  38. 38.Find the HCF of 126 and 112.
  39. 39.Find the LCM of 15 and 6.
  40. 40.Find the LCM of 2, 12 and 3.

Answer key

  1. 4
  2. 182
  3. 3
  4. 28
  5. 14
  6. 200
  7. 72
  8. 2
  9. 225
  10. 7
  11. 180
  12. 4
  13. 14
  14. 30
  15. 11
  16. 40
  17. 12
  18. 42
  19. 11
  20. 45
  21. 12
  22. 30
  23. 8
  24. 224
  25. 70
  26. 4
  27. 24
  28. 36
  29. 48
  30. 156
  31. 315
  32. 10
  33. 16
  34. 360
  35. 11
  36. 48
  37. 120
  38. 14
  39. 30
  40. 12

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