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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 52 · 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 336 and 189 =
  2. 2.HCF of 320 and 208 =
  3. 3.HCF of 90 and 306 =
  4. 4.HCF of 14 and 30 =
  5. 5.HCF of 99 and 54 =
  6. 6.HCF of 119 and 140 =
  7. 7.HCF of 306 and 270 =
  8. 8.HCF of 143 and 154 =
  9. 9.HCF of 132 and 121 =
  10. 10.HCF of 45 and 40 =
  11. 11.HCF of 133 and 323 =
  12. 12.HCF of 153 and 170 =
  13. 13.HCF of 210 and 154 =
  14. 14.HCF of 190 and 57 =
  15. 15.HCF of 132 and 286 =
  16. 16.HCF of 210 and 238 =
  17. 17.HCF of 500 and 425 =
  18. 18.HCF of 180 and 400 =
  19. 19.HCF of 156 and 192 =
  20. 20.HCF of 84 and 35 =
  21. 21.HCF of 30 and 55 =
  22. 22.HCF of 88 and 160 =
  23. 23.HCF of 100 and 30 =
  24. 24.HCF of 54 and 12 =
  25. 25.HCF of 81 and 36 =
  26. 26.HCF of 57 and 190 =
  27. 27.HCF of 95 and 209 =
  28. 28.HCF of 168 and 180 =
  29. 29.HCF of 95 and 114 =
  30. 30.HCF of 114 and 323 =
  31. 31.HCF of 35 and 25 =
  32. 32.HCF of 224 and 208 =
  33. 33.HCF of 247 and 78 =
  34. 34.HCF of 84 and 70 =
  35. 35.HCF of 48 and 78 =
  36. 36.HCF of 323 and 38 =
  37. 37.HCF of 18 and 30 =
  38. 38.HCF of 84 and 154 =
  39. 39.HCF of 152 and 112 =
  40. 40.HCF of 195 and 143 =

Answer key

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

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