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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 368 · 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 76 and 52 =
  2. 2.HCF of 108 and 30 =
  3. 3.HCF of 20 and 130 =
  4. 4.HCF of 125 and 50 =
  5. 5.HCF of 24 and 88 =
  6. 6.HCF of 112 and 96 =
  7. 7.HCF of 48 and 84 =
  8. 8.HCF of 32 and 104 =
  9. 9.HCF of 198 and 352 =
  10. 10.HCF of 276 and 161 =
  11. 11.HCF of 221 and 143 =
  12. 12.HCF of 39 and 169 =
  13. 13.HCF of 66 and 143 =
  14. 14.HCF of 323 and 51 =
  15. 15.HCF of 288 and 54 =
  16. 16.HCF of 133 and 38 =
  17. 17.HCF of 220 and 240 =
  18. 18.HCF of 165 and 121 =
  19. 19.HCF of 70 and 80 =
  20. 20.HCF of 38 and 32 =
  21. 21.HCF of 95 and 209 =
  22. 22.HCF of 80 and 15 =
  23. 23.HCF of 36 and 84 =
  24. 24.HCF of 24 and 54 =
  25. 25.HCF of 28 and 12 =
  26. 26.HCF of 170 and 80 =
  27. 27.HCF of 90 and 84 =
  28. 28.HCF of 156 and 228 =
  29. 29.HCF of 32 and 68 =
  30. 30.HCF of 216 and 408 =
  31. 31.HCF of 140 and 360 =
  32. 32.HCF of 26 and 16 =
  33. 33.HCF of 65 and 30 =
  34. 34.HCF of 119 and 289 =
  35. 35.HCF of 342 and 209 =
  36. 36.HCF of 24 and 40 =
  37. 37.HCF of 125 and 275 =
  38. 38.HCF of 25 and 20 =
  39. 39.HCF of 39 and 57 =
  40. 40.HCF of 117 and 221 =

Answer key

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

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