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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 612 · 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 238 and 154 =
  2. 2.HCF of 90 and 27 =
  3. 3.HCF of 38 and 20 =
  4. 4.HCF of 119 and 84 =
  5. 5.HCF of 161 and 46 =
  6. 6.HCF of 192 and 304 =
  7. 7.HCF of 238 and 182 =
  8. 8.HCF of 45 and 195 =
  9. 9.HCF of 255 and 135 =
  10. 10.HCF of 60 and 100 =
  11. 11.HCF of 132 and 60 =
  12. 12.HCF of 187 and 340 =
  13. 13.HCF of 273 and 147 =
  14. 14.HCF of 66 and 88 =
  15. 15.HCF of 210 and 28 =
  16. 16.HCF of 36 and 22 =
  17. 17.HCF of 300 and 45 =
  18. 18.HCF of 175 and 500 =
  19. 19.HCF of 99 and 126 =
  20. 20.HCF of 285 and 247 =
  21. 21.HCF of 352 and 198 =
  22. 22.HCF of 132 and 216 =
  23. 23.HCF of 221 and 247 =
  24. 24.HCF of 88 and 154 =
  25. 25.HCF of 98 and 63 =
  26. 26.HCF of 220 and 160 =
  27. 27.HCF of 98 and 280 =
  28. 28.HCF of 24 and 9 =
  29. 29.HCF of 75 and 400 =
  30. 30.HCF of 228 and 240 =
  31. 31.HCF of 51 and 30 =
  32. 32.HCF of 45 and 300 =
  33. 33.HCF of 207 and 460 =
  34. 34.HCF of 75 and 325 =
  35. 35.HCF of 110 and 170 =
  36. 36.HCF of 228 and 144 =
  37. 37.HCF of 90 and 195 =
  38. 38.HCF of 80 and 208 =
  39. 39.HCF of 45 and 35 =
  40. 40.HCF of 75 and 20 =

Answer key

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

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