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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 82 · 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 209 and 152 =
  2. 2.HCF of 143 and 187 =
  3. 3.HCF of 44 and 154 =
  4. 4.HCF of 264 and 480 =
  5. 5.HCF of 24 and 152 =
  6. 6.HCF of 225 and 210 =
  7. 7.HCF of 143 and 121 =
  8. 8.HCF of 195 and 105 =
  9. 9.HCF of 60 and 35 =
  10. 10.HCF of 102 and 78 =
  11. 11.HCF of 70 and 200 =
  12. 12.HCF of 161 and 414 =
  13. 13.HCF of 21 and 60 =
  14. 14.HCF of 114 and 247 =
  15. 15.HCF of 221 and 130 =
  16. 16.HCF of 207 and 115 =
  17. 17.HCF of 55 and 70 =
  18. 18.HCF of 102 and 36 =
  19. 19.HCF of 60 and 160 =
  20. 20.HCF of 32 and 26 =
  21. 21.HCF of 340 and 280 =
  22. 22.HCF of 289 and 119 =
  23. 23.HCF of 133 and 171 =
  24. 24.HCF of 357 and 126 =
  25. 25.HCF of 112 and 77 =
  26. 26.HCF of 49 and 70 =
  27. 27.HCF of 36 and 57 =
  28. 28.HCF of 20 and 8 =
  29. 29.HCF of 6 and 33 =
  30. 30.HCF of 288 and 162 =
  31. 31.HCF of 45 and 150 =
  32. 32.HCF of 255 and 272 =
  33. 33.HCF of 70 and 20 =
  34. 34.HCF of 110 and 374 =
  35. 35.HCF of 72 and 162 =
  36. 36.HCF of 65 and 25 =
  37. 37.HCF of 119 and 42 =
  38. 38.HCF of 361 and 190 =
  39. 39.HCF of 126 and 77 =
  40. 40.HCF of 39 and 260 =

Answer key

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

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