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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 59 · 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 32 and 14 =
  2. 2.HCF of 170 and 50 =
  3. 3.HCF of 255 and 210 =
  4. 4.HCF of 57 and 36 =
  5. 5.HCF of 99 and 180 =
  6. 6.HCF of 45 and 21 =
  7. 7.HCF of 289 and 136 =
  8. 8.HCF of 156 and 96 =
  9. 9.HCF of 456 and 192 =
  10. 10.HCF of 120 and 114 =
  11. 11.HCF of 375 and 100 =
  12. 12.HCF of 154 and 224 =
  13. 13.HCF of 189 and 336 =
  14. 14.HCF of 150 and 175 =
  15. 15.HCF of 320 and 100 =
  16. 16.HCF of 456 and 312 =
  17. 17.HCF of 168 and 360 =
  18. 18.HCF of 48 and 160 =
  19. 19.HCF of 42 and 24 =
  20. 20.HCF of 96 and 156 =
  21. 21.HCF of 78 and 114 =
  22. 22.HCF of 16 and 22 =
  23. 23.HCF of 21 and 133 =
  24. 24.HCF of 121 and 44 =
  25. 25.HCF of 105 and 119 =
  26. 26.HCF of 171 and 95 =
  27. 27.HCF of 304 and 288 =
  28. 28.HCF of 195 and 300 =
  29. 29.HCF of 225 and 120 =
  30. 30.HCF of 480 and 408 =
  31. 31.HCF of 360 and 312 =
  32. 32.HCF of 152 and 285 =
  33. 33.HCF of 49 and 133 =
  34. 34.HCF of 27 and 33 =
  35. 35.HCF of 132 and 418 =
  36. 36.HCF of 189 and 273 =
  37. 37.HCF of 200 and 225 =
  38. 38.HCF of 95 and 76 =
  39. 39.HCF of 70 and 160 =
  40. 40.HCF of 69 and 161 =

Answer key

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

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