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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 204 · 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 88 and 55 =
  2. 2.HCF of 48 and 152 =
  3. 3.HCF of 40 and 170 =
  4. 4.HCF of 35 and 126 =
  5. 5.HCF of 153 and 238 =
  6. 6.HCF of 16 and 152 =
  7. 7.HCF of 125 and 200 =
  8. 8.HCF of 396 and 374 =
  9. 9.HCF of 272 and 85 =
  10. 10.HCF of 170 and 153 =
  11. 11.HCF of 250 and 225 =
  12. 12.HCF of 63 and 399 =
  13. 13.HCF of 66 and 418 =
  14. 14.HCF of 64 and 144 =
  15. 15.HCF of 374 and 198 =
  16. 16.HCF of 255 and 119 =
  17. 17.HCF of 460 and 437 =
  18. 18.HCF of 133 and 38 =
  19. 19.HCF of 209 and 77 =
  20. 20.HCF of 460 and 437 =
  21. 21.HCF of 247 and 65 =
  22. 22.HCF of 437 and 184 =
  23. 23.HCF of 66 and 242 =
  24. 24.HCF of 28 and 105 =
  25. 25.HCF of 253 and 299 =
  26. 26.HCF of 28 and 154 =
  27. 27.HCF of 180 and 320 =
  28. 28.HCF of 96 and 88 =
  29. 29.HCF of 95 and 30 =
  30. 30.HCF of 286 and 264 =
  31. 31.HCF of 45 and 57 =
  32. 32.HCF of 216 and 198 =
  33. 33.HCF of 105 and 255 =
  34. 34.HCF of 48 and 45 =
  35. 35.HCF of 266 and 84 =
  36. 36.HCF of 252 and 54 =
  37. 37.HCF of 105 and 273 =
  38. 38.HCF of 357 and 42 =
  39. 39.HCF of 70 and 63 =
  40. 40.HCF of 35 and 15 =

Answer key

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

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