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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 805 · 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 16 and 14 =
  2. 2.HCF of 105 and 91 =
  3. 3.HCF of 48 and 208 =
  4. 4.HCF of 252 and 105 =
  5. 5.HCF of 105 and 91 =
  6. 6.HCF of 500 and 325 =
  7. 7.HCF of 242 and 352 =
  8. 8.HCF of 45 and 25 =
  9. 9.HCF of 40 and 55 =
  10. 10.HCF of 66 and 72 =
  11. 11.HCF of 126 and 117 =
  12. 12.HCF of 220 and 140 =
  13. 13.HCF of 50 and 15 =
  14. 14.HCF of 154 and 110 =
  15. 15.HCF of 117 and 135 =
  16. 16.HCF of 4 and 6 =
  17. 17.HCF of 190 and 160 =
  18. 18.HCF of 39 and 36 =
  19. 19.HCF of 72 and 136 =
  20. 20.HCF of 98 and 133 =
  21. 21.HCF of 60 and 204 =
  22. 22.HCF of 266 and 84 =
  23. 23.HCF of 26 and 12 =
  24. 24.HCF of 209 and 171 =
  25. 25.HCF of 182 and 252 =
  26. 26.HCF of 20 and 170 =
  27. 27.HCF of 70 and 55 =
  28. 28.HCF of 144 and 168 =
  29. 29.HCF of 21 and 9 =
  30. 30.HCF of 48 and 39 =
  31. 31.HCF of 4 and 26 =
  32. 32.HCF of 8 and 18 =
  33. 33.HCF of 276 and 253 =
  34. 34.HCF of 240 and 340 =
  35. 35.HCF of 238 and 187 =
  36. 36.HCF of 330 and 154 =
  37. 37.HCF of 80 and 152 =
  38. 38.HCF of 66 and 84 =
  39. 39.HCF of 345 and 368 =
  40. 40.HCF of 176 and 48 =

Answer key

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

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