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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 980 · 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 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  2. 2.Find the LCM of 12, 4 and 5.
  3. 3.Find the LCM of 6 and 7.
  4. 4.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  5. 5.Find the LCM of 12, 8 and 3.
  6. 6.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  7. 7.Find the LCM of 4, 9 and 6.
  8. 8.Find the HCF of 33 and 88.
  9. 9.Find the HCF of 117 and 91.
  10. 10.Find the LCM of 5, 12 and 3.
  11. 11.Find the LCM of 16 and 18.
  12. 12.Find the HCF of 28 and 20.
  13. 13.Find the HCF of 75 and 105.
  14. 14.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  15. 15.Find the LCM of 27 and 21.
  16. 16.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  17. 17.Find the HCF of 10 and 45.
  18. 18.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 28. What is the other number?
  19. 19.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  20. 20.Find the HCF of 70 and 40.
  21. 21.Find the LCM of 9, 14 and 6.
  22. 22.Find the LCM of 20 and 28.
  23. 23.Find the LCM of 3 and 2.
  24. 24.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  25. 25.Find the HCF of 28 and 24.
  26. 26.Find the LCM of 5, 6 and 9.
  27. 27.Find the HCF of 16 and 36.
  28. 28.Find the HCF of 45 and 10.
  29. 29.Find the LCM of 15, 3 and 12.
  30. 30.Find the LCM of 7, 2 and 12.
  31. 31.Find the HCF of 18 and 48.
  32. 32.Find the LCM of 6 and 15.
  33. 33.Find the HCF of 36 and 30.
  34. 34.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  35. 35.Find the HCF of 32 and 40.
  36. 36.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 35. What is the other number?
  37. 37.Find the LCM of 9 and 7.
  38. 38.Find the HCF of 12 and 32.
  39. 39.Find the HCF of 98 and 126.
  40. 40.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?

Answer key

  1. 35
  2. 60
  3. 42
  4. 20
  5. 24
  6. 12
  7. 36
  8. 11
  9. 13
  10. 60
  11. 144
  12. 4
  13. 15
  14. 63
  15. 189
  16. 10
  17. 5
  18. 24
  19. 36
  20. 10
  21. 126
  22. 140
  23. 6
  24. 14
  25. 4
  26. 90
  27. 4
  28. 5
  29. 60
  30. 84
  31. 6
  32. 30
  33. 6
  34. 14
  35. 8
  36. 56
  37. 63
  38. 4
  39. 14
  40. 15

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