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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 661 · 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 20 and 32 =
  2. 2.HCF of 70 and 21 =
  3. 3.HCF of 33 and 88 =
  4. 4.HCF of 198 and 286 =
  5. 5.HCF of 225 and 60 =
  6. 6.HCF of 6 and 39 =
  7. 7.HCF of 171 and 27 =
  8. 8.HCF of 78 and 102 =
  9. 9.HCF of 20 and 75 =
  10. 10.HCF of 15 and 35 =
  11. 11.HCF of 322 and 207 =
  12. 12.HCF of 49 and 84 =
  13. 13.HCF of 187 and 77 =
  14. 14.HCF of 48 and 360 =
  15. 15.HCF of 98 and 91 =
  16. 16.HCF of 154 and 84 =
  17. 17.HCF of 168 and 180 =
  18. 18.HCF of 176 and 240 =
  19. 19.HCF of 276 and 437 =
  20. 20.HCF of 220 and 400 =
  21. 21.HCF of 132 and 374 =
  22. 22.HCF of 96 and 312 =
  23. 23.HCF of 396 and 110 =
  24. 24.HCF of 100 and 15 =
  25. 25.HCF of 72 and 20 =
  26. 26.HCF of 147 and 336 =
  27. 27.HCF of 170 and 110 =
  28. 28.HCF of 374 and 330 =
  29. 29.HCF of 22 and 30 =
  30. 30.HCF of 200 and 260 =
  31. 31.HCF of 207 and 230 =
  32. 32.HCF of 300 and 160 =
  33. 33.HCF of 189 and 210 =
  34. 34.HCF of 255 and 60 =
  35. 35.HCF of 35 and 20 =
  36. 36.HCF of 160 and 104 =
  37. 37.HCF of 273 and 147 =
  38. 38.HCF of 189 and 84 =
  39. 39.HCF of 221 and 289 =
  40. 40.HCF of 221 and 91 =

Answer key

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

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