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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 202 · 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 437 and 230 =
  2. 2.HCF of 48 and 104 =
  3. 3.HCF of 414 and 299 =
  4. 4.HCF of 120 and 288 =
  5. 5.HCF of 48 and 156 =
  6. 6.HCF of 6 and 39 =
  7. 7.HCF of 126 and 133 =
  8. 8.HCF of 280 and 154 =
  9. 9.HCF of 120 and 168 =
  10. 10.HCF of 84 and 156 =
  11. 11.HCF of 21 and 119 =
  12. 12.HCF of 72 and 27 =
  13. 13.HCF of 96 and 18 =
  14. 14.HCF of 80 and 260 =
  15. 15.HCF of 336 and 399 =
  16. 16.HCF of 161 and 276 =
  17. 17.HCF of 48 and 304 =
  18. 18.HCF of 64 and 88 =
  19. 19.HCF of 117 and 126 =
  20. 20.HCF of 66 and 440 =
  21. 21.HCF of 64 and 112 =
  22. 22.HCF of 30 and 25 =
  23. 23.HCF of 456 and 336 =
  24. 24.HCF of 54 and 42 =
  25. 25.HCF of 315 and 42 =
  26. 26.HCF of 255 and 30 =
  27. 27.HCF of 220 and 242 =
  28. 28.HCF of 252 and 54 =
  29. 29.HCF of 35 and 60 =
  30. 30.HCF of 161 and 299 =
  31. 31.HCF of 198 and 88 =
  32. 32.HCF of 234 and 108 =
  33. 33.HCF of 33 and 154 =
  34. 34.HCF of 60 and 36 =
  35. 35.HCF of 72 and 135 =
  36. 36.HCF of 224 and 240 =
  37. 37.HCF of 255 and 285 =
  38. 38.HCF of 36 and 20 =
  39. 39.HCF of 38 and 361 =
  40. 40.HCF of 48 and 408 =

Answer key

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

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