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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 448 · 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 90 and 70.
  2. 2.Find the LCM of 18 and 4.
  3. 3.Find the LCM of 8, 6 and 7.
  4. 4.Find the LCM of 21 and 6.
  5. 5.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  6. 6.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  7. 7.Find the HCF of 8 and 12.
  8. 8.Find the HCF of 10 and 4.
  9. 9.Find the LCM of 30 and 48.
  10. 10.Find the HCF of 9 and 21.
  11. 11.Find the LCM of 12, 3 and 14.
  12. 12.Find the HCF of 60 and 45.
  13. 13.Find the LCM of 9 and 7.
  14. 14.Find the LCM of 7, 4 and 3.
  15. 15.Find the HCF of 98 and 70.
  16. 16.Find the HCF of 40 and 45.
  17. 17.Find the HCF of 56 and 98.
  18. 18.Find the HCF of 49 and 21.
  19. 19.Find the LCM of 8, 2 and 12.
  20. 20.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  21. 21.Find the LCM of 5, 3 and 8.
  22. 22.Find the LCM of 6 and 4.
  23. 23.Find the LCM of 18 and 10.
  24. 24.Find the LCM of 12, 13 and 3.
  25. 25.Find the LCM of 6 and 15.
  26. 26.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 5, 13 and 10.
  29. 29.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  30. 30.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  31. 31.Find the LCM of 2, 15 and 6.
  32. 32.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  34. 34.Find the LCM of 3 and 4.
  35. 35.Find the LCM of 7, 4 and 10.
  36. 36.Find the HCF of 48 and 30.
  37. 37.Find the LCM of 7, 8 and 6.
  38. 38.Find the HCF of 70 and 126.
  39. 39.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  40. 40.Find the LCM of 2 and 7.

Answer key

  1. 10
  2. 36
  3. 168
  4. 42
  5. 14
  6. 36
  7. 4
  8. 2
  9. 240
  10. 3
  11. 84
  12. 15
  13. 63
  14. 84
  15. 14
  16. 5
  17. 14
  18. 7
  19. 24
  20. 12
  21. 120
  22. 12
  23. 90
  24. 156
  25. 30
  26. 14
  27. 14
  28. 130
  29. 10
  30. 21
  31. 30
  32. 21
  33. 30
  34. 12
  35. 140
  36. 6
  37. 168
  38. 14
  39. 15
  40. 14

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