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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 801 · 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 7, 2 and 11.
  2. 2.Find the HCF of 135 and 75.
  3. 3.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  4. 4.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  6. 6.Find the LCM of 42 and 30.
  7. 7.The HCF of two numbers is 4 and their LCM is 112. One of the numbers is 16. What is the other number?
  8. 8.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  9. 9.Find the HCF of 16 and 20.
  10. 10.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  11. 11.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  12. 12.Find the LCM of 9, 10 and 3.
  13. 13.Find the HCF of 40 and 16.
  14. 14.Find the LCM of 13, 5 and 10.
  15. 15.Find the HCF of 27 and 36.
  16. 16.Find the HCF of 32 and 20.
  17. 17.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  18. 18.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  19. 19.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  20. 20.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  21. 21.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  22. 22.Find the LCM of 12, 14 and 6.
  23. 23.Find the LCM of 11, 5 and 3.
  24. 24.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  25. 25.Find the LCM of 10, 3 and 8.
  26. 26.Find the LCM of 42 and 18.
  27. 27.Find the LCM of 8 and 10.
  28. 28.Find the LCM of 6 and 7.
  29. 29.Find the HCF of 15 and 40.
  30. 30.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  31. 31.Find the LCM of 8, 15 and 6.
  32. 32.Find the LCM of 28 and 8.
  33. 33.Find the HCF of 12 and 18.
  34. 34.Find the LCM of 3, 4 and 7.
  35. 35.Find the HCF of 36 and 48.
  36. 36.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  37. 37.Find the HCF of 35 and 28.
  38. 38.Find the HCF of 56 and 63.
  39. 39.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  40. 40.Find the LCM of 16 and 6.

Answer key

  1. 154
  2. 15
  3. 15
  4. 16
  5. 40
  6. 210
  7. 28
  8. 15
  9. 4
  10. 49
  11. 21
  12. 90
  13. 8
  14. 130
  15. 9
  16. 4
  17. 54
  18. 81
  19. 56
  20. 36
  21. 48
  22. 84
  23. 165
  24. 35
  25. 120
  26. 126
  27. 40
  28. 42
  29. 5
  30. 8
  31. 120
  32. 56
  33. 6
  34. 84
  35. 12
  36. 14
  37. 7
  38. 7
  39. 63
  40. 48

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