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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 910 · 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 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  2. 2.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  3. 3.Find the LCM of 2, 14 and 6.
  4. 4.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 36. What is the other number?
  5. 5.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  6. 6.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  7. 7.Find the HCF of 35 and 15.
  8. 8.Find the HCF of 27 and 15.
  9. 9.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  10. 10.Find the LCM of 8, 10 and 4.
  11. 11.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  12. 12.Find the LCM of 6, 12 and 5.
  13. 13.Find the LCM of 2, 12 and 4.
  14. 14.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  15. 15.Find the LCM of 4, 2 and 11.
  16. 16.Find the HCF of 117 and 65.
  17. 17.Find the LCM of 6, 14 and 3.
  18. 18.Find the HCF of 70 and 40.
  19. 19.Find the LCM of 10 and 4.
  20. 20.Find the LCM of 5 and 8.
  21. 21.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  22. 22.Find the HCF of 14 and 21.
  23. 23.Find the LCM of 7, 14 and 11.
  24. 24.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  25. 25.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  26. 26.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 63. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  28. 28.Find the HCF of 32 and 36.
  29. 29.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  30. 30.Find the LCM of 14, 7 and 6.
  31. 31.Find the HCF of 80 and 50.
  32. 32.Find the LCM of 9, 3 and 12.
  33. 33.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  34. 34.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  35. 35.Find the LCM of 10 and 45.
  36. 36.Find the HCF of 21 and 9.
  37. 37.Find the LCM of 12, 2 and 6.
  38. 38.Find the LCM of 14, 3 and 4.
  39. 39.Find the LCM of 6, 8 and 9.
  40. 40.Find the HCF of 14 and 35.

Answer key

  1. 35
  2. 42
  3. 42
  4. 32
  5. 10
  6. 25
  7. 5
  8. 3
  9. 15
  10. 40
  11. 81
  12. 60
  13. 12
  14. 9
  15. 44
  16. 13
  17. 42
  18. 10
  19. 20
  20. 40
  21. 21
  22. 7
  23. 154
  24. 25
  25. 18
  26. 81
  27. 45
  28. 4
  29. 56
  30. 42
  31. 10
  32. 36
  33. 28
  34. 8
  35. 90
  36. 3
  37. 12
  38. 84
  39. 72
  40. 7

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