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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 249 · 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 143 and 260 =
  2. 2.HCF of 91 and 105 =
  3. 3.HCF of 26 and 32 =
  4. 4.HCF of 14 and 30 =
  5. 5.HCF of 384 and 72 =
  6. 6.HCF of 52 and 60 =
  7. 7.HCF of 36 and 114 =
  8. 8.HCF of 315 and 294 =
  9. 9.HCF of 154 and 196 =
  10. 10.HCF of 140 and 60 =
  11. 11.HCF of 240 and 105 =
  12. 12.HCF of 153 and 289 =
  13. 13.HCF of 400 and 220 =
  14. 14.HCF of 85 and 221 =
  15. 15.HCF of 63 and 28 =
  16. 16.HCF of 238 and 42 =
  17. 17.HCF of 221 and 52 =
  18. 18.HCF of 240 and 45 =
  19. 19.HCF of 14 and 30 =
  20. 20.HCF of 306 and 108 =
  21. 21.HCF of 52 and 39 =
  22. 22.HCF of 75 and 175 =
  23. 23.HCF of 216 and 480 =
  24. 24.HCF of 260 and 240 =
  25. 25.HCF of 60 and 190 =
  26. 26.HCF of 171 and 209 =
  27. 27.HCF of 345 and 391 =
  28. 28.HCF of 112 and 288 =
  29. 29.HCF of 84 and 144 =
  30. 30.HCF of 105 and 273 =
  31. 31.HCF of 210 and 45 =
  32. 32.HCF of 187 and 51 =
  33. 33.HCF of 285 and 361 =
  34. 34.HCF of 152 and 128 =
  35. 35.HCF of 437 and 46 =
  36. 36.HCF of 350 and 375 =
  37. 37.HCF of 224 and 48 =
  38. 38.HCF of 10 and 65 =
  39. 39.HCF of 210 and 63 =
  40. 40.HCF of 162 and 126 =

Answer key

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

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