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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 819 · 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 200 and 225 =
  2. 2.HCF of 84 and 108 =
  3. 3.HCF of 69 and 368 =
  4. 4.HCF of 28 and 16 =
  5. 5.HCF of 136 and 24 =
  6. 6.HCF of 209 and 266 =
  7. 7.HCF of 72 and 171 =
  8. 8.HCF of 45 and 63 =
  9. 9.HCF of 200 and 110 =
  10. 10.HCF of 50 and 225 =
  11. 11.HCF of 198 and 288 =
  12. 12.HCF of 345 and 46 =
  13. 13.HCF of 65 and 75 =
  14. 14.HCF of 20 and 48 =
  15. 15.HCF of 190 and 40 =
  16. 16.HCF of 136 and 40 =
  17. 17.HCF of 91 and 133 =
  18. 18.HCF of 102 and 42 =
  19. 19.HCF of 18 and 4 =
  20. 20.HCF of 216 and 480 =
  21. 21.HCF of 154 and 88 =
  22. 22.HCF of 60 and 68 =
  23. 23.HCF of 98 and 112 =
  24. 24.HCF of 56 and 104 =
  25. 25.HCF of 105 and 98 =
  26. 26.HCF of 40 and 128 =
  27. 27.HCF of 204 and 156 =
  28. 28.HCF of 6 and 20 =
  29. 29.HCF of 224 and 208 =
  30. 30.HCF of 136 and 153 =
  31. 31.HCF of 54 and 306 =
  32. 32.HCF of 323 and 187 =
  33. 33.HCF of 408 and 192 =
  34. 34.HCF of 78 and 96 =
  35. 35.HCF of 187 and 306 =
  36. 36.HCF of 75 and 55 =
  37. 37.HCF of 88 and 104 =
  38. 38.HCF of 75 and 195 =
  39. 39.HCF of 77 and 140 =
  40. 40.HCF of 112 and 35 =

Answer key

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

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