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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 911 · 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 112 and 80 =
  2. 2.HCF of 209 and 114 =
  3. 3.HCF of 39 and 208 =
  4. 4.HCF of 96 and 156 =
  5. 5.HCF of 60 and 64 =
  6. 6.HCF of 66 and 90 =
  7. 7.HCF of 273 and 147 =
  8. 8.HCF of 27 and 6 =
  9. 9.HCF of 165 and 77 =
  10. 10.HCF of 150 and 130 =
  11. 11.HCF of 132 and 240 =
  12. 12.HCF of 33 and 154 =
  13. 13.HCF of 90 and 324 =
  14. 14.HCF of 126 and 288 =
  15. 15.HCF of 36 and 38 =
  16. 16.HCF of 14 and 30 =
  17. 17.HCF of 75 and 210 =
  18. 18.HCF of 160 and 104 =
  19. 19.HCF of 57 and 6 =
  20. 20.HCF of 275 and 250 =
  21. 21.HCF of 360 and 54 =
  22. 22.HCF of 288 and 272 =
  23. 23.HCF of 285 and 133 =
  24. 24.HCF of 24 and 68 =
  25. 25.HCF of 460 and 253 =
  26. 26.HCF of 240 and 255 =
  27. 27.HCF of 128 and 136 =
  28. 28.HCF of 153 and 27 =
  29. 29.HCF of 408 and 216 =
  30. 30.HCF of 105 and 28 =
  31. 31.HCF of 52 and 60 =
  32. 32.HCF of 150 and 135 =
  33. 33.HCF of 30 and 190 =
  34. 34.HCF of 240 and 108 =
  35. 35.HCF of 108 and 234 =
  36. 36.HCF of 437 and 299 =
  37. 37.HCF of 368 and 161 =
  38. 38.HCF of 242 and 440 =
  39. 39.HCF of 18 and 48 =
  40. 40.HCF of 16 and 56 =

Answer key

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

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