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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 357 · 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 46 and 253 =
  2. 2.HCF of 6 and 34 =
  3. 3.HCF of 28 and 30 =
  4. 4.HCF of 69 and 46 =
  5. 5.HCF of 91 and 140 =
  6. 6.HCF of 121 and 44 =
  7. 7.HCF of 95 and 100 =
  8. 8.HCF of 360 and 336 =
  9. 9.HCF of 132 and 55 =
  10. 10.HCF of 14 and 35 =
  11. 11.HCF of 170 and 187 =
  12. 12.HCF of 130 and 180 =
  13. 13.HCF of 270 and 105 =
  14. 14.HCF of 75 and 30 =
  15. 15.HCF of 25 and 45 =
  16. 16.HCF of 56 and 16 =
  17. 17.HCF of 84 and 36 =
  18. 18.HCF of 78 and 247 =
  19. 19.HCF of 18 and 16 =
  20. 20.HCF of 85 and 100 =
  21. 21.HCF of 198 and 110 =
  22. 22.HCF of 234 and 221 =
  23. 23.HCF of 161 and 92 =
  24. 24.HCF of 81 and 126 =
  25. 25.HCF of 26 and 14 =
  26. 26.HCF of 98 and 21 =
  27. 27.HCF of 220 and 154 =
  28. 28.HCF of 264 and 384 =
  29. 29.HCF of 119 and 51 =
  30. 30.HCF of 76 and 64 =
  31. 31.HCF of 165 and 180 =
  32. 32.HCF of 110 and 88 =
  33. 33.HCF of 378 and 231 =
  34. 34.HCF of 40 and 140 =
  35. 35.HCF of 84 and 119 =
  36. 36.HCF of 20 and 110 =
  37. 37.HCF of 120 and 136 =
  38. 38.HCF of 384 and 72 =
  39. 39.HCF of 76 and 32 =
  40. 40.HCF of 42 and 119 =

Answer key

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

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