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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 411 · 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 240 and 36 =
  2. 2.HCF of 210 and 224 =
  3. 3.HCF of 396 and 154 =
  4. 4.HCF of 140 and 182 =
  5. 5.HCF of 21 and 51 =
  6. 6.HCF of 40 and 25 =
  7. 7.HCF of 140 and 49 =
  8. 8.HCF of 425 and 75 =
  9. 9.HCF of 216 and 198 =
  10. 10.HCF of 380 and 360 =
  11. 11.HCF of 42 and 273 =
  12. 12.HCF of 88 and 80 =
  13. 13.HCF of 456 and 144 =
  14. 14.HCF of 182 and 84 =
  15. 15.HCF of 15 and 6 =
  16. 16.HCF of 60 and 255 =
  17. 17.HCF of 187 and 136 =
  18. 18.HCF of 45 and 20 =
  19. 19.HCF of 42 and 238 =
  20. 20.HCF of 133 and 35 =
  21. 21.HCF of 221 and 255 =
  22. 22.HCF of 76 and 60 =
  23. 23.HCF of 234 and 90 =
  24. 24.HCF of 35 and 112 =
  25. 25.HCF of 25 and 70 =
  26. 26.HCF of 420 and 147 =
  27. 27.HCF of 192 and 112 =
  28. 28.HCF of 161 and 115 =
  29. 29.HCF of 228 and 247 =
  30. 30.HCF of 42 and 238 =
  31. 31.HCF of 187 and 143 =
  32. 32.HCF of 36 and 198 =
  33. 33.HCF of 375 and 425 =
  34. 34.HCF of 33 and 176 =
  35. 35.HCF of 80 and 288 =
  36. 36.HCF of 225 and 210 =
  37. 37.HCF of 126 and 238 =
  38. 38.HCF of 54 and 36 =
  39. 39.HCF of 102 and 72 =
  40. 40.HCF of 65 and 30 =

Answer key

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

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