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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 341 · 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 51 and 9 =
  2. 2.HCF of 42 and 28 =
  3. 3.HCF of 368 and 161 =
  4. 4.HCF of 220 and 320 =
  5. 5.HCF of 184 and 69 =
  6. 6.HCF of 288 and 208 =
  7. 7.HCF of 35 and 14 =
  8. 8.HCF of 90 and 130 =
  9. 9.HCF of 480 and 168 =
  10. 10.HCF of 48 and 30 =
  11. 11.HCF of 76 and 12 =
  12. 12.HCF of 368 and 391 =
  13. 13.HCF of 78 and 24 =
  14. 14.HCF of 66 and 88 =
  15. 15.HCF of 85 and 153 =
  16. 16.HCF of 133 and 247 =
  17. 17.HCF of 204 and 48 =
  18. 18.HCF of 170 and 51 =
  19. 19.HCF of 85 and 60 =
  20. 20.HCF of 117 and 90 =
  21. 21.HCF of 27 and 24 =
  22. 22.HCF of 144 and 198 =
  23. 23.HCF of 320 and 220 =
  24. 24.HCF of 80 and 68 =
  25. 25.HCF of 240 and 84 =
  26. 26.HCF of 323 and 204 =
  27. 27.HCF of 76 and 247 =
  28. 28.HCF of 28 and 76 =
  29. 29.HCF of 154 and 33 =
  30. 30.HCF of 32 and 68 =
  31. 31.HCF of 253 and 437 =
  32. 32.HCF of 187 and 143 =
  33. 33.HCF of 121 and 77 =
  34. 34.HCF of 114 and 42 =
  35. 35.HCF of 225 and 350 =
  36. 36.HCF of 273 and 378 =
  37. 37.HCF of 120 and 152 =
  38. 38.HCF of 36 and 76 =
  39. 39.HCF of 51 and 18 =
  40. 40.HCF of 230 and 299 =

Answer key

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

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