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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 378 · 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 72 and 63 =
  2. 2.HCF of 437 and 253 =
  3. 3.HCF of 437 and 46 =
  4. 4.HCF of 136 and 128 =
  5. 5.HCF of 63 and 168 =
  6. 6.HCF of 34 and 10 =
  7. 7.HCF of 306 and 187 =
  8. 8.HCF of 304 and 247 =
  9. 9.HCF of 234 and 91 =
  10. 10.HCF of 20 and 12 =
  11. 11.HCF of 15 and 33 =
  12. 12.HCF of 30 and 200 =
  13. 13.HCF of 300 and 165 =
  14. 14.HCF of 176 and 128 =
  15. 15.HCF of 204 and 60 =
  16. 16.HCF of 72 and 60 =
  17. 17.HCF of 44 and 286 =
  18. 18.HCF of 38 and 171 =
  19. 19.HCF of 121 and 132 =
  20. 20.HCF of 85 and 45 =
  21. 21.HCF of 48 and 228 =
  22. 22.HCF of 21 and 57 =
  23. 23.HCF of 304 and 208 =
  24. 24.HCF of 39 and 130 =
  25. 25.HCF of 221 and 65 =
  26. 26.HCF of 28 and 63 =
  27. 27.HCF of 273 and 357 =
  28. 28.HCF of 44 and 330 =
  29. 29.HCF of 187 and 34 =
  30. 30.HCF of 30 and 285 =
  31. 31.HCF of 57 and 76 =
  32. 32.HCF of 120 and 195 =
  33. 33.HCF of 144 and 128 =
  34. 34.HCF of 210 and 154 =
  35. 35.HCF of 90 and 78 =
  36. 36.HCF of 21 and 133 =
  37. 37.HCF of 168 and 315 =
  38. 38.HCF of 144 and 208 =
  39. 39.HCF of 360 and 100 =
  40. 40.HCF of 210 and 63 =

Answer key

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

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