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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 26 · 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 460 and 391 =
  2. 2.HCF of 143 and 132 =
  3. 3.HCF of 360 and 96 =
  4. 4.HCF of 342 and 36 =
  5. 5.HCF of 30 and 54 =
  6. 6.HCF of 110 and 143 =
  7. 7.HCF of 64 and 208 =
  8. 8.HCF of 36 and 60 =
  9. 9.HCF of 126 and 108 =
  10. 10.HCF of 45 and 171 =
  11. 11.HCF of 99 and 44 =
  12. 12.HCF of 114 and 120 =
  13. 13.HCF of 25 and 15 =
  14. 14.HCF of 21 and 6 =
  15. 15.HCF of 272 and 192 =
  16. 16.HCF of 48 and 33 =
  17. 17.HCF of 102 and 119 =
  18. 18.HCF of 399 and 315 =
  19. 19.HCF of 121 and 110 =
  20. 20.HCF of 221 and 272 =
  21. 21.HCF of 96 and 216 =
  22. 22.HCF of 80 and 208 =
  23. 23.HCF of 36 and 56 =
  24. 24.HCF of 352 and 374 =
  25. 25.HCF of 304 and 133 =
  26. 26.HCF of 176 and 165 =
  27. 27.HCF of 195 and 150 =
  28. 28.HCF of 247 and 39 =
  29. 29.HCF of 78 and 221 =
  30. 30.HCF of 46 and 299 =
  31. 31.HCF of 85 and 10 =
  32. 32.HCF of 154 and 220 =
  33. 33.HCF of 45 and 51 =
  34. 34.HCF of 90 and 36 =
  35. 35.HCF of 77 and 121 =
  36. 36.HCF of 36 and 117 =
  37. 37.HCF of 35 and 30 =
  38. 38.HCF of 42 and 30 =
  39. 39.HCF of 168 and 408 =
  40. 40.HCF of 285 and 76 =

Answer key

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

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