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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 166 · 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 39 and 26.
  2. 2.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  3. 3.Find the HCF of 65 and 104.
  4. 4.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  5. 5.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  6. 6.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  8. 8.Find the HCF of 24 and 54.
  9. 9.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  10. 10.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  11. 11.Find the LCM of 3, 15 and 9.
  12. 12.Find the LCM of 11, 5 and 10.
  13. 13.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  14. 14.Find the HCF of 81 and 72.
  15. 15.Find the LCM of 16 and 12.
  16. 16.Find the LCM of 14, 7 and 9.
  17. 17.Find the HCF of 26 and 39.
  18. 18.Find the HCF of 6 and 21.
  19. 19.Find the LCM of 5 and 2.
  20. 20.Find the LCM of 8, 11 and 4.
  21. 21.Find the HCF of 15 and 40.
  22. 22.Find the LCM of 5, 4 and 10.
  23. 23.Find the HCF of 22 and 77.
  24. 24.Find the HCF of 72 and 81.
  25. 25.Find the LCM of 15, 14 and 5.
  26. 26.Find the LCM of 27 and 6.
  27. 27.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  28. 28.Find the HCF of 25 and 15.
  29. 29.Find the LCM of 4 and 5.
  30. 30.Find the LCM of 54 and 24.
  31. 31.Find the HCF of 104 and 65.
  32. 32.Find the HCF of 15 and 20.
  33. 33.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  34. 34.Find the HCF of 6 and 14.
  35. 35.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  36. 36.Find the HCF of 72 and 27.
  37. 37.Find the HCF of 16 and 36.
  38. 38.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  39. 39.Find the LCM of 14 and 6.
  40. 40.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 49. What is the other number?

Answer key

  1. 13
  2. 12
  3. 13
  4. 72
  5. 8
  6. 21
  7. 15
  8. 6
  9. 10
  10. 32
  11. 45
  12. 110
  13. 35
  14. 9
  15. 48
  16. 126
  17. 13
  18. 3
  19. 10
  20. 88
  21. 5
  22. 20
  23. 11
  24. 9
  25. 210
  26. 54
  27. 20
  28. 5
  29. 20
  30. 216
  31. 13
  32. 5
  33. 81
  34. 2
  35. 24
  36. 9
  37. 4
  38. 63
  39. 42
  40. 56

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