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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 877 · 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 255 and 136 =
  2. 2.HCF of 108 and 171 =
  3. 3.HCF of 187 and 204 =
  4. 4.HCF of 85 and 187 =
  5. 5.HCF of 285 and 133 =
  6. 6.HCF of 324 and 90 =
  7. 7.HCF of 208 and 117 =
  8. 8.HCF of 27 and 180 =
  9. 9.HCF of 133 and 112 =
  10. 10.HCF of 224 and 304 =
  11. 11.HCF of 399 and 357 =
  12. 12.HCF of 198 and 352 =
  13. 13.HCF of 323 and 57 =
  14. 14.HCF of 154 and 266 =
  15. 15.HCF of 36 and 34 =
  16. 16.HCF of 324 and 198 =
  17. 17.HCF of 76 and 95 =
  18. 18.HCF of 20 and 12 =
  19. 19.HCF of 165 and 88 =
  20. 20.HCF of 35 and 98 =
  21. 21.HCF of 57 and 190 =
  22. 22.HCF of 400 and 175 =
  23. 23.HCF of 238 and 255 =
  24. 24.HCF of 180 and 160 =
  25. 25.HCF of 190 and 60 =
  26. 26.HCF of 221 and 91 =
  27. 27.HCF of 65 and 85 =
  28. 28.HCF of 42 and 189 =
  29. 29.HCF of 48 and 40 =
  30. 30.HCF of 48 and 204 =
  31. 31.HCF of 30 and 26 =
  32. 32.HCF of 120 and 260 =
  33. 33.HCF of 162 and 342 =
  34. 34.HCF of 76 and 72 =
  35. 35.HCF of 247 and 65 =
  36. 36.HCF of 24 and 88 =
  37. 37.HCF of 196 and 238 =
  38. 38.HCF of 168 and 312 =
  39. 39.HCF of 21 and 28 =
  40. 40.HCF of 28 and 49 =

Answer key

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

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