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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 936 · 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 98 and 91 =
  2. 2.HCF of 112 and 24 =
  3. 3.HCF of 12 and 52 =
  4. 4.HCF of 30 and 78 =
  5. 5.HCF of 33 and 42 =
  6. 6.HCF of 170 and 20 =
  7. 7.HCF of 10 and 26 =
  8. 8.HCF of 85 and 221 =
  9. 9.HCF of 51 and 170 =
  10. 10.HCF of 102 and 289 =
  11. 11.HCF of 21 and 98 =
  12. 12.HCF of 35 and 15 =
  13. 13.HCF of 162 and 72 =
  14. 14.HCF of 156 and 36 =
  15. 15.HCF of 56 and 182 =
  16. 16.HCF of 10 and 65 =
  17. 17.HCF of 136 and 48 =
  18. 18.HCF of 117 and 247 =
  19. 19.HCF of 30 and 130 =
  20. 20.HCF of 247 and 260 =
  21. 21.HCF of 119 and 136 =
  22. 22.HCF of 90 and 108 =
  23. 23.HCF of 40 and 100 =
  24. 24.HCF of 255 and 300 =
  25. 25.HCF of 36 and 198 =
  26. 26.HCF of 25 and 85 =
  27. 27.HCF of 400 and 260 =
  28. 28.HCF of 161 and 437 =
  29. 29.HCF of 24 and 76 =
  30. 30.HCF of 221 and 306 =
  31. 31.HCF of 168 and 180 =
  32. 32.HCF of 140 and 80 =
  33. 33.HCF of 200 and 175 =
  34. 34.HCF of 150 and 175 =
  35. 35.HCF of 160 and 300 =
  36. 36.HCF of 250 and 225 =
  37. 37.HCF of 275 and 250 =
  38. 38.HCF of 91 and 49 =
  39. 39.HCF of 170 and 20 =
  40. 40.HCF of 90 and 200 =

Answer key

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

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