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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 238 · 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 255 and 210 =
  2. 2.HCF of 54 and 72 =
  3. 3.HCF of 216 and 228 =
  4. 4.HCF of 220 and 209 =
  5. 5.HCF of 48 and 42 =
  6. 6.HCF of 49 and 35 =
  7. 7.HCF of 336 and 273 =
  8. 8.HCF of 72 and 66 =
  9. 9.HCF of 350 and 325 =
  10. 10.HCF of 26 and 34 =
  11. 11.HCF of 153 and 135 =
  12. 12.HCF of 12 and 68 =
  13. 13.HCF of 288 and 80 =
  14. 14.HCF of 60 and 16 =
  15. 15.HCF of 112 and 152 =
  16. 16.HCF of 34 and 30 =
  17. 17.HCF of 225 and 30 =
  18. 18.HCF of 380 and 160 =
  19. 19.HCF of 96 and 60 =
  20. 20.HCF of 154 and 84 =
  21. 21.HCF of 69 and 299 =
  22. 22.HCF of 285 and 210 =
  23. 23.HCF of 252 and 70 =
  24. 24.HCF of 286 and 154 =
  25. 25.HCF of 342 and 360 =
  26. 26.HCF of 105 and 49 =
  27. 27.HCF of 238 and 182 =
  28. 28.HCF of 48 and 78 =
  29. 29.HCF of 39 and 208 =
  30. 30.HCF of 170 and 160 =
  31. 31.HCF of 340 and 220 =
  32. 32.HCF of 88 and 143 =
  33. 33.HCF of 48 and 204 =
  34. 34.HCF of 46 and 253 =
  35. 35.HCF of 76 and 80 =
  36. 36.HCF of 52 and 24 =
  37. 37.HCF of 21 and 49 =
  38. 38.HCF of 247 and 26 =
  39. 39.HCF of 312 and 96 =
  40. 40.HCF of 91 and 105 =

Answer key

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

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