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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 855 · 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 220 and 60 =
  2. 2.HCF of 153 and 45 =
  3. 3.HCF of 56 and 80 =
  4. 4.HCF of 75 and 200 =
  5. 5.HCF of 285 and 270 =
  6. 6.HCF of 85 and 95 =
  7. 7.HCF of 133 and 126 =
  8. 8.HCF of 64 and 88 =
  9. 9.HCF of 221 and 143 =
  10. 10.HCF of 200 and 140 =
  11. 11.HCF of 144 and 162 =
  12. 12.HCF of 105 and 168 =
  13. 13.HCF of 100 and 360 =
  14. 14.HCF of 46 and 437 =
  15. 15.HCF of 88 and 120 =
  16. 16.HCF of 36 and 51 =
  17. 17.HCF of 77 and 220 =
  18. 18.HCF of 135 and 153 =
  19. 19.HCF of 432 and 120 =
  20. 20.HCF of 234 and 288 =
  21. 21.HCF of 42 and 51 =
  22. 22.HCF of 85 and 20 =
  23. 23.HCF of 84 and 24 =
  24. 24.HCF of 264 and 216 =
  25. 25.HCF of 39 and 54 =
  26. 26.HCF of 95 and 30 =
  27. 27.HCF of 64 and 60 =
  28. 28.HCF of 247 and 304 =
  29. 29.HCF of 200 and 425 =
  30. 30.HCF of 380 and 209 =
  31. 31.HCF of 240 and 140 =
  32. 32.HCF of 108 and 192 =
  33. 33.HCF of 66 and 176 =
  34. 34.HCF of 35 and 100 =
  35. 35.HCF of 192 and 36 =
  36. 36.HCF of 55 and 176 =
  37. 37.HCF of 40 and 26 =
  38. 38.HCF of 114 and 361 =
  39. 39.HCF of 230 and 391 =
  40. 40.HCF of 120 and 384 =

Answer key

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

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