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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 123 · 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 221 and 255 =
  2. 2.HCF of 169 and 234 =
  3. 3.HCF of 44 and 16 =
  4. 4.HCF of 255 and 135 =
  5. 5.HCF of 161 and 276 =
  6. 6.HCF of 119 and 323 =
  7. 7.HCF of 209 and 228 =
  8. 8.HCF of 60 and 8 =
  9. 9.HCF of 260 and 380 =
  10. 10.HCF of 66 and 102 =
  11. 11.HCF of 456 and 240 =
  12. 12.HCF of 54 and 90 =
  13. 13.HCF of 60 and 32 =
  14. 14.HCF of 64 and 44 =
  15. 15.HCF of 63 and 133 =
  16. 16.HCF of 28 and 105 =
  17. 17.HCF of 160 and 272 =
  18. 18.HCF of 221 and 39 =
  19. 19.HCF of 6 and 51 =
  20. 20.HCF of 51 and 48 =
  21. 21.HCF of 22 and 26 =
  22. 22.HCF of 238 and 266 =
  23. 23.HCF of 304 and 133 =
  24. 24.HCF of 220 and 374 =
  25. 25.HCF of 260 and 120 =
  26. 26.HCF of 220 and 154 =
  27. 27.HCF of 6 and 45 =
  28. 28.HCF of 408 and 480 =
  29. 29.HCF of 32 and 76 =
  30. 30.HCF of 161 and 460 =
  31. 31.HCF of 138 and 391 =
  32. 32.HCF of 264 and 456 =
  33. 33.HCF of 182 and 126 =
  34. 34.HCF of 375 and 100 =
  35. 35.HCF of 24 and 88 =
  36. 36.HCF of 32 and 136 =
  37. 37.HCF of 256 and 208 =
  38. 38.HCF of 28 and 119 =
  39. 39.HCF of 160 and 304 =
  40. 40.HCF of 182 and 39 =

Answer key

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

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