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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 722 · 40 sums
TalentJR

The trick (Sankalana-Vyavakalanabhyam): Take the smaller number away from the bigger one, as many times as it goes. Now use the smaller number and what is left. Repeat until nothing is left: the last number before 0 is the HCF.

NameDateTime takenScore ___ / 40
  1. 1.HCF of 45 and 75 =
  2. 2.HCF of 104 and 117 =
  3. 3.HCF of 8 and 10 =
  4. 4.HCF of 375 and 425 =
  5. 5.HCF of 36 and 38 =
  6. 6.HCF of 198 and 288 =
  7. 7.HCF of 12 and 9 =
  8. 8.HCF of 15 and 6 =
  9. 9.HCF of 18 and 57 =
  10. 10.HCF of 51 and 6 =
  11. 11.HCF of 112 and 128 =
  12. 12.HCF of 198 and 418 =
  13. 13.HCF of 24 and 132 =
  14. 14.HCF of 16 and 10 =
  15. 15.HCF of 165 and 135 =
  16. 16.HCF of 32 and 88 =
  17. 17.HCF of 126 and 357 =
  18. 18.HCF of 221 and 340 =
  19. 19.HCF of 114 and 54 =
  20. 20.HCF of 18 and 78 =
  21. 21.HCF of 140 and 300 =
  22. 22.HCF of 70 and 180 =
  23. 23.HCF of 230 and 253 =
  24. 24.HCF of 168 and 98 =
  25. 25.HCF of 54 and 234 =
  26. 26.HCF of 36 and 135 =
  27. 27.HCF of 28 and 22 =
  28. 28.HCF of 160 and 70 =
  29. 29.HCF of 75 and 135 =
  30. 30.HCF of 75 and 100 =
  31. 31.HCF of 80 and 88 =
  32. 32.HCF of 10 and 85 =
  33. 33.HCF of 114 and 108 =
  34. 34.HCF of 69 and 437 =
  35. 35.HCF of 325 and 300 =
  36. 36.HCF of 360 and 162 =
  37. 37.HCF of 75 and 40 =
  38. 38.HCF of 72 and 132 =
  39. 39.HCF of 44 and 209 =
  40. 40.HCF of 40 and 50 =

Answer key

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

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