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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 802 · 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 112 and 152 =
  2. 2.HCF of 22 and 30 =
  3. 3.HCF of 345 and 391 =
  4. 4.HCF of 286 and 264 =
  5. 5.HCF of 272 and 304 =
  6. 6.HCF of 54 and 12 =
  7. 7.HCF of 32 and 144 =
  8. 8.HCF of 208 and 195 =
  9. 9.HCF of 135 and 144 =
  10. 10.HCF of 69 and 161 =
  11. 11.HCF of 195 and 165 =
  12. 12.HCF of 95 and 15 =
  13. 13.HCF of 44 and 80 =
  14. 14.HCF of 221 and 78 =
  15. 15.HCF of 40 and 35 =
  16. 16.HCF of 54 and 144 =
  17. 17.HCF of 60 and 400 =
  18. 18.HCF of 36 and 228 =
  19. 19.HCF of 68 and 119 =
  20. 20.HCF of 190 and 120 =
  21. 21.HCF of 44 and 110 =
  22. 22.HCF of 68 and 255 =
  23. 23.HCF of 132 and 228 =
  24. 24.HCF of 40 and 170 =
  25. 25.HCF of 21 and 33 =
  26. 26.HCF of 70 and 168 =
  27. 27.HCF of 18 and 153 =
  28. 28.HCF of 432 and 120 =
  29. 29.HCF of 325 and 450 =
  30. 30.HCF of 108 and 102 =
  31. 31.HCF of 57 and 9 =
  32. 32.HCF of 238 and 84 =
  33. 33.HCF of 90 and 105 =
  34. 34.HCF of 80 and 100 =
  35. 35.HCF of 285 and 247 =
  36. 36.HCF of 342 and 252 =
  37. 37.HCF of 440 and 154 =
  38. 38.HCF of 165 and 121 =
  39. 39.HCF of 38 and 133 =
  40. 40.HCF of 198 and 176 =

Answer key

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

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