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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 610 · 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 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  2. 2.Find the LCM of 20 and 16.
  3. 3.Find the LCM of 18 and 12.
  4. 4.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 21. What is the other number?
  5. 5.Find the HCF of 135 and 75.
  6. 6.Find the LCM of 12, 4 and 7.
  7. 7.Find the LCM of 15, 14 and 3.
  8. 8.Find the HCF of 8 and 12.
  9. 9.Find the HCF of 15 and 9.
  10. 10.Find the LCM of 5, 3 and 10.
  11. 11.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  12. 12.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  13. 13.Find the LCM of 14, 9 and 6.
  14. 14.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  15. 15.Find the HCF of 40 and 15.
  16. 16.Find the LCM of 10 and 15.
  17. 17.Find the LCM of 10 and 25.
  18. 18.Find the HCF of 20 and 16.
  19. 19.Find the LCM of 25 and 10.
  20. 20.Find the HCF of 24 and 16.
  21. 21.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  22. 22.Find the LCM of 15, 4 and 6.
  23. 23.Find the LCM of 24 and 54.
  24. 24.Find the LCM of 20 and 35.
  25. 25.Find the LCM of 15, 3 and 7.
  26. 26.Find the HCF of 15 and 25.
  27. 27.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  28. 28.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  29. 29.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  30. 30.Find the LCM of 4, 14 and 12.
  31. 31.Find the LCM of 7 and 4.
  32. 32.Find the LCM of 15 and 18.
  33. 33.Find the HCF of 25 and 35.
  34. 34.Find the HCF of 28 and 12.
  35. 35.Find the LCM of 9 and 2.
  36. 36.Find the HCF of 54 and 45.
  37. 37.Find the LCM of 12 and 15.
  38. 38.Find the HCF of 20 and 15.
  39. 39.Find the LCM of 12, 9 and 4.
  40. 40.Find the LCM of 15, 8 and 5.

Answer key

  1. 16
  2. 80
  3. 36
  4. 49
  5. 15
  6. 84
  7. 210
  8. 4
  9. 3
  10. 30
  11. 49
  12. 35
  13. 126
  14. 4
  15. 5
  16. 30
  17. 50
  18. 4
  19. 50
  20. 8
  21. 21
  22. 60
  23. 216
  24. 140
  25. 105
  26. 5
  27. 45
  28. 36
  29. 12
  30. 84
  31. 28
  32. 90
  33. 5
  34. 4
  35. 18
  36. 9
  37. 60
  38. 5
  39. 36
  40. 120

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