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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 887 · 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 2 and 9.
  2. 2.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  3. 3.Find the LCM of 13, 3 and 2.
  4. 4.Find the LCM of 12 and 10.
  5. 5.Find the HCF of 84 and 98.
  6. 6.Find the LCM of 6 and 15.
  7. 7.Find the LCM of 25 and 15.
  8. 8.Find the HCF of 77 and 99.
  9. 9.Find the HCF of 50 and 70.
  10. 10.Find the HCF of 26 and 39.
  11. 11.Find the LCM of 35 and 10.
  12. 12.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 25. What is the other number?
  13. 13.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  14. 14.Find the HCF of 40 and 30.
  15. 15.Find the LCM of 14, 2 and 15.
  16. 16.Find the HCF of 104 and 39.
  17. 17.Find the LCM of 13, 2 and 10.
  18. 18.Find the HCF of 70 and 40.
  19. 19.Find the LCM of 10 and 6.
  20. 20.Find the LCM of 8 and 18.
  21. 21.Find the LCM of 9 and 21.
  22. 22.Find the LCM of 21 and 6.
  23. 23.Find the HCF of 40 and 24.
  24. 24.Find the LCM of 15, 10 and 7.
  25. 25.Find the HCF of 12 and 10.
  26. 26.Find the LCM of 9, 4 and 10.
  27. 27.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  28. 28.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  29. 29.Find the HCF of 6 and 4.
  30. 30.Find the LCM of 4, 15 and 12.
  31. 31.Find the HCF of 77 and 66.
  32. 32.Find the HCF of 20 and 70.
  33. 33.Find the HCF of 104 and 117.
  34. 34.Find the HCF of 36 and 81.
  35. 35.Find the LCM of 4, 11 and 3.
  36. 36.Find the HCF of 16 and 40.
  37. 37.Find the HCF of 60 and 84.
  38. 38.Find the LCM of 8, 4 and 11.
  39. 39.Find the LCM of 8 and 3.
  40. 40.Find the HCF of 63 and 45.

Answer key

  1. 18
  2. 18
  3. 78
  4. 60
  5. 14
  6. 30
  7. 75
  8. 11
  9. 10
  10. 13
  11. 70
  12. 15
  13. 18
  14. 10
  15. 210
  16. 13
  17. 130
  18. 10
  19. 30
  20. 72
  21. 63
  22. 42
  23. 8
  24. 210
  25. 2
  26. 180
  27. 42
  28. 28
  29. 2
  30. 60
  31. 11
  32. 10
  33. 13
  34. 9
  35. 132
  36. 8
  37. 12
  38. 88
  39. 24
  40. 9

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