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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 780 · 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 63 and 14.
  2. 2.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  3. 3.Find the LCM of 6, 9 and 4.
  4. 4.Find the LCM of 11, 10 and 2.
  5. 5.Find the HCF of 14 and 6.
  6. 6.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  7. 7.Find the LCM of 15 and 21.
  8. 8.Find the LCM of 10 and 45.
  9. 9.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  10. 10.Find the HCF of 28 and 12.
  11. 11.Find the LCM of 6, 4 and 5.
  12. 12.Find the HCF of 15 and 25.
  13. 13.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  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.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  16. 16.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  17. 17.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 35. What is the other number?
  18. 18.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  19. 19.Find the HCF of 35 and 14.
  20. 20.Find the HCF of 18 and 12.
  21. 21.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  22. 22.Find the LCM of 5 and 7.
  23. 23.Find the HCF of 6 and 10.
  24. 24.Find the HCF of 18 and 27.
  25. 25.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  26. 26.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 15. What is the other number?
  27. 27.Find the LCM of 21 and 24.
  28. 28.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  29. 29.Find the LCM of 30 and 24.
  30. 30.Find the LCM of 28 and 12.
  31. 31.Find the HCF of 48 and 54.
  32. 32.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  34. 34.Find the HCF of 22 and 33.
  35. 35.Find the HCF of 28 and 35.
  36. 36.Find the HCF of 98 and 70.
  37. 37.Find the HCF of 24 and 18.
  38. 38.Find the LCM of 27 and 15.
  39. 39.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  40. 40.Find the LCM of 8, 3 and 4.

Answer key

  1. 7
  2. 12
  3. 36
  4. 110
  5. 2
  6. 42
  7. 105
  8. 90
  9. 36
  10. 4
  11. 60
  12. 5
  13. 16
  14. 63
  15. 18
  16. 16
  17. 49
  18. 32
  19. 7
  20. 6
  21. 35
  22. 35
  23. 2
  24. 9
  25. 6
  26. 27
  27. 168
  28. 15
  29. 120
  30. 84
  31. 6
  32. 15
  33. 18
  34. 11
  35. 7
  36. 14
  37. 6
  38. 135
  39. 24
  40. 24

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