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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 715 · 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 266 and 280 =
  2. 2.HCF of 96 and 180 =
  3. 3.HCF of 408 and 432 =
  4. 4.HCF of 68 and 289 =
  5. 5.HCF of 256 and 272 =
  6. 6.HCF of 70 and 15 =
  7. 7.HCF of 140 and 360 =
  8. 8.HCF of 207 and 230 =
  9. 9.HCF of 70 and 160 =
  10. 10.HCF of 153 and 63 =
  11. 11.HCF of 6 and 38 =
  12. 12.HCF of 39 and 169 =
  13. 13.HCF of 105 and 240 =
  14. 14.HCF of 44 and 198 =
  15. 15.HCF of 36 and 78 =
  16. 16.HCF of 209 and 228 =
  17. 17.HCF of 42 and 49 =
  18. 18.HCF of 312 and 216 =
  19. 19.HCF of 270 and 234 =
  20. 20.HCF of 273 and 357 =
  21. 21.HCF of 247 and 342 =
  22. 22.HCF of 32 and 12 =
  23. 23.HCF of 80 and 176 =
  24. 24.HCF of 228 and 96 =
  25. 25.HCF of 126 and 216 =
  26. 26.HCF of 238 and 210 =
  27. 27.HCF of 240 and 100 =
  28. 28.HCF of 140 and 133 =
  29. 29.HCF of 294 and 105 =
  30. 30.HCF of 342 and 288 =
  31. 31.HCF of 26 and 169 =
  32. 32.HCF of 12 and 34 =
  33. 33.HCF of 90 and 50 =
  34. 34.HCF of 184 and 437 =
  35. 35.HCF of 80 and 176 =
  36. 36.HCF of 18 and 15 =
  37. 37.HCF of 38 and 4 =
  38. 38.HCF of 100 and 180 =
  39. 39.HCF of 380 and 400 =
  40. 40.HCF of 54 and 171 =

Answer key

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

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