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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 269 · 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 176 and 32 =
  2. 2.HCF of 4 and 38 =
  3. 3.HCF of 154 and 352 =
  4. 4.HCF of 22 and 32 =
  5. 5.HCF of 375 and 175 =
  6. 6.HCF of 44 and 418 =
  7. 7.HCF of 99 and 126 =
  8. 8.HCF of 135 and 195 =
  9. 9.HCF of 154 and 176 =
  10. 10.HCF of 119 and 35 =
  11. 11.HCF of 68 and 12 =
  12. 12.HCF of 33 and 36 =
  13. 13.HCF of 35 and 100 =
  14. 14.HCF of 102 and 289 =
  15. 15.HCF of 110 and 90 =
  16. 16.HCF of 340 and 160 =
  17. 17.HCF of 77 and 35 =
  18. 18.HCF of 22 and 28 =
  19. 19.HCF of 42 and 36 =
  20. 20.HCF of 216 and 96 =
  21. 21.HCF of 208 and 117 =
  22. 22.HCF of 264 and 240 =
  23. 23.HCF of 36 and 45 =
  24. 24.HCF of 360 and 264 =
  25. 25.HCF of 180 and 81 =
  26. 26.HCF of 70 and 50 =
  27. 27.HCF of 60 and 95 =
  28. 28.HCF of 195 and 104 =
  29. 29.HCF of 92 and 437 =
  30. 30.HCF of 60 and 285 =
  31. 31.HCF of 143 and 39 =
  32. 32.HCF of 176 and 288 =
  33. 33.HCF of 117 and 52 =
  34. 34.HCF of 147 and 189 =
  35. 35.HCF of 8 and 34 =
  36. 36.HCF of 90 and 140 =
  37. 37.HCF of 54 and 33 =
  38. 38.HCF of 77 and 132 =
  39. 39.HCF of 360 and 54 =
  40. 40.HCF of 65 and 91 =

Answer key

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

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