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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 906 · 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 156 =
  2. 2.HCF of 260 and 221 =
  3. 3.HCF of 99 and 55 =
  4. 4.HCF of 112 and 42 =
  5. 5.HCF of 110 and 198 =
  6. 6.HCF of 374 and 88 =
  7. 7.HCF of 209 and 77 =
  8. 8.HCF of 360 and 234 =
  9. 9.HCF of 48 and 216 =
  10. 10.HCF of 240 and 108 =
  11. 11.HCF of 450 and 175 =
  12. 12.HCF of 88 and 16 =
  13. 13.HCF of 40 and 88 =
  14. 14.HCF of 72 and 96 =
  15. 15.HCF of 56 and 136 =
  16. 16.HCF of 70 and 252 =
  17. 17.HCF of 153 and 36 =
  18. 18.HCF of 9 and 39 =
  19. 19.HCF of 60 and 170 =
  20. 20.HCF of 360 and 312 =
  21. 21.HCF of 169 and 117 =
  22. 22.HCF of 22 and 55 =
  23. 23.HCF of 20 and 68 =
  24. 24.HCF of 144 and 171 =
  25. 25.HCF of 99 and 154 =
  26. 26.HCF of 75 and 35 =
  27. 27.HCF of 112 and 133 =
  28. 28.HCF of 315 and 273 =
  29. 29.HCF of 255 and 165 =
  30. 30.HCF of 294 and 63 =
  31. 31.HCF of 91 and 130 =
  32. 32.HCF of 50 and 140 =
  33. 33.HCF of 88 and 128 =
  34. 34.HCF of 336 and 273 =
  35. 35.HCF of 342 and 108 =
  36. 36.HCF of 65 and 247 =
  37. 37.HCF of 360 and 198 =
  38. 38.HCF of 70 and 63 =
  39. 39.HCF of 160 and 136 =
  40. 40.HCF of 65 and 40 =

Answer key

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

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