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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 900 · 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 154 and 252 =
  2. 2.HCF of 88 and 48 =
  3. 3.HCF of 50 and 95 =
  4. 4.HCF of 273 and 231 =
  5. 5.HCF of 54 and 153 =
  6. 6.HCF of 114 and 209 =
  7. 7.HCF of 50 and 175 =
  8. 8.HCF of 273 and 210 =
  9. 9.HCF of 21 and 51 =
  10. 10.HCF of 95 and 171 =
  11. 11.HCF of 66 and 36 =
  12. 12.HCF of 95 and 15 =
  13. 13.HCF of 84 and 63 =
  14. 14.HCF of 27 and 144 =
  15. 15.HCF of 228 and 95 =
  16. 16.HCF of 121 and 66 =
  17. 17.HCF of 76 and 72 =
  18. 18.HCF of 96 and 408 =
  19. 19.HCF of 156 and 132 =
  20. 20.HCF of 65 and 169 =
  21. 21.HCF of 160 and 56 =
  22. 22.HCF of 76 and 80 =
  23. 23.HCF of 36 and 42 =
  24. 24.HCF of 408 and 216 =
  25. 25.HCF of 140 and 360 =
  26. 26.HCF of 198 and 440 =
  27. 27.HCF of 252 and 306 =
  28. 28.HCF of 253 and 437 =
  29. 29.HCF of 117 and 169 =
  30. 30.HCF of 475 and 50 =
  31. 31.HCF of 357 and 210 =
  32. 32.HCF of 100 and 160 =
  33. 33.HCF of 266 and 247 =
  34. 34.HCF of 228 and 247 =
  35. 35.HCF of 38 and 12 =
  36. 36.HCF of 35 and 75 =
  37. 37.HCF of 6 and 9 =
  38. 38.HCF of 391 and 161 =
  39. 39.HCF of 171 and 108 =
  40. 40.HCF of 33 and 45 =

Answer key

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

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