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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 94 · 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 182 and 112 =
  2. 2.HCF of 4 and 22 =
  3. 3.HCF of 28 and 38 =
  4. 4.HCF of 221 and 52 =
  5. 5.HCF of 35 and 63 =
  6. 6.HCF of 119 and 323 =
  7. 7.HCF of 54 and 15 =
  8. 8.HCF of 121 and 132 =
  9. 9.HCF of 70 and 42 =
  10. 10.HCF of 6 and 15 =
  11. 11.HCF of 253 and 207 =
  12. 12.HCF of 35 and 14 =
  13. 13.HCF of 78 and 169 =
  14. 14.HCF of 450 and 425 =
  15. 15.HCF of 204 and 180 =
  16. 16.HCF of 255 and 68 =
  17. 17.HCF of 102 and 42 =
  18. 18.HCF of 20 and 85 =
  19. 19.HCF of 105 and 231 =
  20. 20.HCF of 130 and 190 =
  21. 21.HCF of 255 and 150 =
  22. 22.HCF of 266 and 285 =
  23. 23.HCF of 200 and 260 =
  24. 24.HCF of 204 and 96 =
  25. 25.HCF of 16 and 12 =
  26. 26.HCF of 52 and 39 =
  27. 27.HCF of 108 and 99 =
  28. 28.HCF of 30 and 72 =
  29. 29.HCF of 56 and 42 =
  30. 30.HCF of 138 and 161 =
  31. 31.HCF of 252 and 90 =
  32. 32.HCF of 60 and 65 =
  33. 33.HCF of 48 and 30 =
  34. 34.HCF of 60 and 216 =
  35. 35.HCF of 104 and 144 =
  36. 36.HCF of 68 and 76 =
  37. 37.HCF of 288 and 112 =
  38. 38.HCF of 286 and 132 =
  39. 39.HCF of 57 and 9 =
  40. 40.HCF of 165 and 240 =

Answer key

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

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