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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 329 · 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 26 and 38 =
  2. 2.HCF of 44 and 143 =
  3. 3.HCF of 176 and 80 =
  4. 4.HCF of 66 and 187 =
  5. 5.HCF of 189 and 357 =
  6. 6.HCF of 65 and 90 =
  7. 7.HCF of 40 and 260 =
  8. 8.HCF of 16 and 10 =
  9. 9.HCF of 75 and 45 =
  10. 10.HCF of 96 and 112 =
  11. 11.HCF of 35 and 112 =
  12. 12.HCF of 153 and 119 =
  13. 13.HCF of 60 and 216 =
  14. 14.HCF of 176 and 33 =
  15. 15.HCF of 72 and 156 =
  16. 16.HCF of 51 and 170 =
  17. 17.HCF of 270 and 255 =
  18. 18.HCF of 46 and 115 =
  19. 19.HCF of 42 and 147 =
  20. 20.HCF of 8 and 38 =
  21. 21.HCF of 112 and 98 =
  22. 22.HCF of 72 and 81 =
  23. 23.HCF of 102 and 36 =
  24. 24.HCF of 50 and 85 =
  25. 25.HCF of 104 and 88 =
  26. 26.HCF of 160 and 140 =
  27. 27.HCF of 140 and 340 =
  28. 28.HCF of 77 and 112 =
  29. 29.HCF of 65 and 143 =
  30. 30.HCF of 99 and 135 =
  31. 31.HCF of 63 and 112 =
  32. 32.HCF of 125 and 450 =
  33. 33.HCF of 75 and 165 =
  34. 34.HCF of 288 and 270 =
  35. 35.HCF of 44 and 110 =
  36. 36.HCF of 102 and 78 =
  37. 37.HCF of 24 and 66 =
  38. 38.HCF of 36 and 45 =
  39. 39.HCF of 147 and 168 =
  40. 40.HCF of 224 and 208 =

Answer key

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

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