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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 803 · 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 209 and 220 =
  2. 2.HCF of 195 and 210 =
  3. 3.HCF of 264 and 154 =
  4. 4.HCF of 210 and 273 =
  5. 5.HCF of 92 and 345 =
  6. 6.HCF of 28 and 38 =
  7. 7.HCF of 168 and 456 =
  8. 8.HCF of 119 and 102 =
  9. 9.HCF of 54 and 126 =
  10. 10.HCF of 272 and 112 =
  11. 11.HCF of 28 and 6 =
  12. 12.HCF of 12 and 64 =
  13. 13.HCF of 144 and 270 =
  14. 14.HCF of 30 and 24 =
  15. 15.HCF of 216 and 96 =
  16. 16.HCF of 240 and 135 =
  17. 17.HCF of 70 and 77 =
  18. 18.HCF of 285 and 361 =
  19. 19.HCF of 272 and 304 =
  20. 20.HCF of 26 and 32 =
  21. 21.HCF of 26 and 39 =
  22. 22.HCF of 168 and 156 =
  23. 23.HCF of 39 and 130 =
  24. 24.HCF of 171 and 361 =
  25. 25.HCF of 195 and 105 =
  26. 26.HCF of 220 and 80 =
  27. 27.HCF of 40 and 12 =
  28. 28.HCF of 108 and 117 =
  29. 29.HCF of 39 and 27 =
  30. 30.HCF of 161 and 46 =
  31. 31.HCF of 75 and 125 =
  32. 32.HCF of 132 and 143 =
  33. 33.HCF of 285 and 323 =
  34. 34.HCF of 153 and 99 =
  35. 35.HCF of 304 and 256 =
  36. 36.HCF of 42 and 70 =
  37. 37.HCF of 30 and 130 =
  38. 38.HCF of 247 and 221 =
  39. 39.HCF of 30 and 66 =
  40. 40.HCF of 242 and 374 =

Answer key

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

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