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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 205 · 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 36 =
  2. 2.HCF of 28 and 60 =
  3. 3.HCF of 140 and 400 =
  4. 4.HCF of 187 and 85 =
  5. 5.HCF of 154 and 209 =
  6. 6.HCF of 264 and 120 =
  7. 7.HCF of 161 and 92 =
  8. 8.HCF of 187 and 68 =
  9. 9.HCF of 120 and 152 =
  10. 10.HCF of 114 and 78 =
  11. 11.HCF of 60 and 216 =
  12. 12.HCF of 105 and 150 =
  13. 13.HCF of 418 and 220 =
  14. 14.HCF of 169 and 26 =
  15. 15.HCF of 90 and 306 =
  16. 16.HCF of 171 and 133 =
  17. 17.HCF of 16 and 28 =
  18. 18.HCF of 24 and 26 =
  19. 19.HCF of 275 and 325 =
  20. 20.HCF of 117 and 63 =
  21. 21.HCF of 54 and 72 =
  22. 22.HCF of 32 and 44 =
  23. 23.HCF of 425 and 175 =
  24. 24.HCF of 252 and 98 =
  25. 25.HCF of 27 and 72 =
  26. 26.HCF of 260 and 300 =
  27. 27.HCF of 120 and 260 =
  28. 28.HCF of 238 and 255 =
  29. 29.HCF of 221 and 272 =
  30. 30.HCF of 200 and 275 =
  31. 31.HCF of 391 and 207 =
  32. 32.HCF of 75 and 30 =
  33. 33.HCF of 54 and 60 =
  34. 34.HCF of 152 and 56 =
  35. 35.HCF of 66 and 84 =
  36. 36.HCF of 160 and 112 =
  37. 37.HCF of 207 and 161 =
  38. 38.HCF of 16 and 104 =
  39. 39.HCF of 65 and 208 =
  40. 40.HCF of 160 and 110 =

Answer key

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

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