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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 203 · 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 38 and 10 =
  2. 2.HCF of 266 and 280 =
  3. 3.HCF of 165 and 285 =
  4. 4.HCF of 42 and 105 =
  5. 5.HCF of 171 and 144 =
  6. 6.HCF of 88 and 136 =
  7. 7.HCF of 105 and 112 =
  8. 8.HCF of 374 and 154 =
  9. 9.HCF of 126 and 144 =
  10. 10.HCF of 40 and 170 =
  11. 11.HCF of 176 and 144 =
  12. 12.HCF of 190 and 60 =
  13. 13.HCF of 408 and 168 =
  14. 14.HCF of 18 and 42 =
  15. 15.HCF of 57 and 54 =
  16. 16.HCF of 88 and 96 =
  17. 17.HCF of 84 and 156 =
  18. 18.HCF of 14 and 105 =
  19. 19.HCF of 60 and 204 =
  20. 20.HCF of 30 and 54 =
  21. 21.HCF of 270 and 72 =
  22. 22.HCF of 95 and 209 =
  23. 23.HCF of 42 and 24 =
  24. 24.HCF of 162 and 234 =
  25. 25.HCF of 264 and 418 =
  26. 26.HCF of 143 and 117 =
  27. 27.HCF of 36 and 26 =
  28. 28.HCF of 225 and 175 =
  29. 29.HCF of 208 and 48 =
  30. 30.HCF of 208 and 247 =
  31. 31.HCF of 255 and 238 =
  32. 32.HCF of 108 and 45 =
  33. 33.HCF of 81 and 126 =
  34. 34.HCF of 180 and 380 =
  35. 35.HCF of 54 and 78 =
  36. 36.HCF of 112 and 49 =
  37. 37.HCF of 24 and 156 =
  38. 38.HCF of 456 and 168 =
  39. 39.HCF of 51 and 9 =
  40. 40.HCF of 208 and 288 =

Answer key

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

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