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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 271 · 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 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  2. 2.Find the HCF of 72 and 56.
  3. 3.Find the LCM of 6, 3 and 8.
  4. 4.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  5. 5.Find the LCM of 14, 5 and 10.
  6. 6.Find the LCM of 14, 6 and 10.
  7. 7.Find the HCF of 14 and 4.
  8. 8.Find the LCM of 35 and 10.
  9. 9.Find the HCF of 98 and 56.
  10. 10.Find the HCF of 36 and 45.
  11. 11.Find the HCF of 10 and 6.
  12. 12.Find the HCF of 98 and 126.
  13. 13.Find the LCM of 4, 6 and 14.
  14. 14.Find the LCM of 4 and 9.
  15. 15.Find the HCF of 25 and 45.
  16. 16.Find the HCF of 18 and 16.
  17. 17.Find the LCM of 4 and 7.
  18. 18.Find the HCF of 20 and 30.
  19. 19.Find the HCF of 90 and 20.
  20. 20.Find the LCM of 8, 2 and 5.
  21. 21.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  22. 22.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  23. 23.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  24. 24.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  25. 25.Find the HCF of 30 and 54.
  26. 26.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  28. 28.Find the HCF of 91 and 65.
  29. 29.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  30. 30.Find the LCM of 3, 6 and 4.
  31. 31.Find the HCF of 54 and 48.
  32. 32.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  33. 33.Find the LCM of 12, 14 and 4.
  34. 34.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  35. 35.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  36. 36.Find the HCF of 25 and 15.
  37. 37.Find the HCF of 99 and 22.
  38. 38.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  39. 39.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  40. 40.Find the HCF of 45 and 35.

Answer key

  1. 12
  2. 8
  3. 24
  4. 40
  5. 70
  6. 210
  7. 2
  8. 70
  9. 14
  10. 9
  11. 2
  12. 14
  13. 84
  14. 36
  15. 5
  16. 2
  17. 28
  18. 10
  19. 10
  20. 40
  21. 12
  22. 35
  23. 15
  24. 24
  25. 6
  26. 10
  27. 10
  28. 13
  29. 10
  30. 12
  31. 6
  32. 24
  33. 84
  34. 15
  35. 8
  36. 5
  37. 11
  38. 81
  39. 14
  40. 5

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