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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 979 · 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 LCM of 5, 12 and 2.
  2. 2.Find the HCF of 70 and 50.
  3. 3.Find the HCF of 40 and 24.
  4. 4.Find the LCM of 5, 2 and 6.
  5. 5.Find the LCM of 9 and 21.
  6. 6.Find the LCM of 18 and 4.
  7. 7.Find the LCM of 9, 3 and 2.
  8. 8.Find the LCM of 6 and 9.
  9. 9.Find the HCF of 20 and 12.
  10. 10.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  11. 11.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  12. 12.Find the LCM of 7, 2 and 10.
  13. 13.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  14. 14.Find the LCM of 2, 7 and 9.
  15. 15.Find the HCF of 70 and 112.
  16. 16.Find the HCF of 104 and 39.
  17. 17.Find the LCM of 6, 3 and 12.
  18. 18.Find the LCM of 5 and 6.
  19. 19.Find the HCF of 70 and 80.
  20. 20.Find the LCM of 6, 2 and 5.
  21. 21.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  22. 22.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  23. 23.Find the LCM of 15, 11 and 3.
  24. 24.Find the LCM of 11, 2 and 3.
  25. 25.Find the HCF of 20 and 8.
  26. 26.Find the LCM of 25 and 35.
  27. 27.Find the LCM of 4, 5 and 2.
  28. 28.Find the LCM of 54 and 42.
  29. 29.Find the HCF of 72 and 16.
  30. 30.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  31. 31.Find the HCF of 32 and 40.
  32. 32.Find the HCF of 28 and 35.
  33. 33.Find the LCM of 10, 6 and 3.
  34. 34.Find the HCF of 98 and 70.
  35. 35.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  36. 36.Find the HCF of 112 and 126.
  37. 37.Find the HCF of 10 and 8.
  38. 38.Find the LCM of 11, 5 and 3.
  39. 39.Find the LCM of 28 and 24.
  40. 40.Find the HCF of 70 and 40.

Answer key

  1. 60
  2. 10
  3. 8
  4. 30
  5. 63
  6. 36
  7. 18
  8. 18
  9. 4
  10. 14
  11. 8
  12. 70
  13. 63
  14. 126
  15. 14
  16. 13
  17. 12
  18. 30
  19. 10
  20. 30
  21. 35
  22. 15
  23. 165
  24. 66
  25. 4
  26. 175
  27. 20
  28. 378
  29. 8
  30. 56
  31. 8
  32. 7
  33. 30
  34. 14
  35. 10
  36. 14
  37. 2
  38. 165
  39. 168
  40. 10

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