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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 417 · 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 192 and 112 =
  2. 2.HCF of 238 and 224 =
  3. 3.HCF of 75 and 250 =
  4. 4.HCF of 21 and 24 =
  5. 5.HCF of 10 and 75 =
  6. 6.HCF of 168 and 480 =
  7. 7.HCF of 49 and 28 =
  8. 8.HCF of 40 and 56 =
  9. 9.HCF of 26 and 10 =
  10. 10.HCF of 136 and 88 =
  11. 11.HCF of 208 and 143 =
  12. 12.HCF of 115 and 69 =
  13. 13.HCF of 112 and 320 =
  14. 14.HCF of 126 and 360 =
  15. 15.HCF of 304 and 176 =
  16. 16.HCF of 240 and 380 =
  17. 17.HCF of 63 and 294 =
  18. 18.HCF of 8 and 26 =
  19. 19.HCF of 51 and 60 =
  20. 20.HCF of 182 and 195 =
  21. 21.HCF of 184 and 161 =
  22. 22.HCF of 30 and 26 =
  23. 23.HCF of 160 and 56 =
  24. 24.HCF of 210 and 195 =
  25. 25.HCF of 35 and 112 =
  26. 26.HCF of 63 and 144 =
  27. 27.HCF of 84 and 132 =
  28. 28.HCF of 90 and 12 =
  29. 29.HCF of 12 and 68 =
  30. 30.HCF of 84 and 72 =
  31. 31.HCF of 72 and 192 =
  32. 32.HCF of 204 and 96 =
  33. 33.HCF of 147 and 336 =
  34. 34.HCF of 176 and 66 =
  35. 35.HCF of 208 and 143 =
  36. 36.HCF of 30 and 195 =
  37. 37.HCF of 36 and 156 =
  38. 38.HCF of 121 and 55 =
  39. 39.HCF of 20 and 65 =
  40. 40.HCF of 64 and 176 =

Answer key

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

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