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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 107 · 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 247 and 228 =
  2. 2.HCF of 198 and 54 =
  3. 3.HCF of 77 and 49 =
  4. 4.HCF of 30 and 96 =
  5. 5.HCF of 192 and 80 =
  6. 6.HCF of 117 and 182 =
  7. 7.HCF of 286 and 154 =
  8. 8.HCF of 72 and 126 =
  9. 9.HCF of 150 and 325 =
  10. 10.HCF of 54 and 78 =
  11. 11.HCF of 15 and 35 =
  12. 12.HCF of 221 and 255 =
  13. 13.HCF of 342 and 270 =
  14. 14.HCF of 234 and 126 =
  15. 15.HCF of 187 and 68 =
  16. 16.HCF of 114 and 42 =
  17. 17.HCF of 228 and 95 =
  18. 18.HCF of 152 and 361 =
  19. 19.HCF of 16 and 76 =
  20. 20.HCF of 30 and 80 =
  21. 21.HCF of 104 and 136 =
  22. 22.HCF of 378 and 231 =
  23. 23.HCF of 286 and 110 =
  24. 24.HCF of 72 and 270 =
  25. 25.HCF of 72 and 112 =
  26. 26.HCF of 238 and 252 =
  27. 27.HCF of 153 and 34 =
  28. 28.HCF of 156 and 84 =
  29. 29.HCF of 198 and 176 =
  30. 30.HCF of 98 and 168 =
  31. 31.HCF of 20 and 25 =
  32. 32.HCF of 21 and 35 =
  33. 33.HCF of 108 and 153 =
  34. 34.HCF of 63 and 27 =
  35. 35.HCF of 24 and 34 =
  36. 36.HCF of 272 and 32 =
  37. 37.HCF of 209 and 88 =
  38. 38.HCF of 14 and 21 =
  39. 39.HCF of 460 and 161 =
  40. 40.HCF of 10 and 6 =

Answer key

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

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