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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 606 · 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 88 and 160 =
  2. 2.HCF of 154 and 99 =
  3. 3.HCF of 92 and 207 =
  4. 4.HCF of 119 and 85 =
  5. 5.HCF of 234 and 36 =
  6. 6.HCF of 153 and 221 =
  7. 7.HCF of 115 and 138 =
  8. 8.HCF of 30 and 170 =
  9. 9.HCF of 39 and 130 =
  10. 10.HCF of 110 and 396 =
  11. 11.HCF of 133 and 95 =
  12. 12.HCF of 36 and 102 =
  13. 13.HCF of 289 and 170 =
  14. 14.HCF of 45 and 25 =
  15. 15.HCF of 77 and 140 =
  16. 16.HCF of 247 and 114 =
  17. 17.HCF of 255 and 68 =
  18. 18.HCF of 143 and 221 =
  19. 19.HCF of 22 and 38 =
  20. 20.HCF of 320 and 260 =
  21. 21.HCF of 48 and 64 =
  22. 22.HCF of 112 and 144 =
  23. 23.HCF of 66 and 110 =
  24. 24.HCF of 110 and 418 =
  25. 25.HCF of 216 and 234 =
  26. 26.HCF of 12 and 40 =
  27. 27.HCF of 54 and 126 =
  28. 28.HCF of 272 and 255 =
  29. 29.HCF of 72 and 42 =
  30. 30.HCF of 40 and 35 =
  31. 31.HCF of 45 and 51 =
  32. 32.HCF of 176 and 121 =
  33. 33.HCF of 40 and 35 =
  34. 34.HCF of 96 and 66 =
  35. 35.HCF of 85 and 238 =
  36. 36.HCF of 45 and 60 =
  37. 37.HCF of 54 and 12 =
  38. 38.HCF of 18 and 4 =
  39. 39.HCF of 14 and 26 =
  40. 40.HCF of 44 and 286 =

Answer key

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

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