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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 682 · 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 32 and 20 =
  2. 2.HCF of 24 and 14 =
  3. 3.HCF of 234 and 65 =
  4. 4.HCF of 88 and 96 =
  5. 5.HCF of 20 and 26 =
  6. 6.HCF of 18 and 32 =
  7. 7.HCF of 255 and 120 =
  8. 8.HCF of 55 and 25 =
  9. 9.HCF of 330 and 418 =
  10. 10.HCF of 105 and 195 =
  11. 11.HCF of 105 and 28 =
  12. 12.HCF of 266 and 171 =
  13. 13.HCF of 256 and 240 =
  14. 14.HCF of 289 and 306 =
  15. 15.HCF of 209 and 380 =
  16. 16.HCF of 4 and 30 =
  17. 17.HCF of 253 and 368 =
  18. 18.HCF of 160 and 152 =
  19. 19.HCF of 48 and 128 =
  20. 20.HCF of 88 and 418 =
  21. 21.HCF of 108 and 90 =
  22. 22.HCF of 357 and 63 =
  23. 23.HCF of 76 and 285 =
  24. 24.HCF of 180 and 220 =
  25. 25.HCF of 391 and 368 =
  26. 26.HCF of 20 and 130 =
  27. 27.HCF of 140 and 160 =
  28. 28.HCF of 286 and 308 =
  29. 29.HCF of 77 and 132 =
  30. 30.HCF of 408 and 240 =
  31. 31.HCF of 160 and 136 =
  32. 32.HCF of 342 and 306 =
  33. 33.HCF of 85 and 25 =
  34. 34.HCF of 360 and 260 =
  35. 35.HCF of 144 and 112 =
  36. 36.HCF of 210 and 75 =
  37. 37.HCF of 77 and 35 =
  38. 38.HCF of 170 and 187 =
  39. 39.HCF of 99 and 72 =
  40. 40.HCF of 192 and 360 =

Answer key

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

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