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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 143 · 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 168 and 204 =
  2. 2.HCF of 190 and 209 =
  3. 3.HCF of 220 and 280 =
  4. 4.HCF of 45 and 48 =
  5. 5.HCF of 408 and 96 =
  6. 6.HCF of 69 and 115 =
  7. 7.HCF of 85 and 100 =
  8. 8.HCF of 153 and 238 =
  9. 9.HCF of 24 and 136 =
  10. 10.HCF of 36 and 40 =
  11. 11.HCF of 70 and 170 =
  12. 12.HCF of 98 and 266 =
  13. 13.HCF of 135 and 210 =
  14. 14.HCF of 88 and 16 =
  15. 15.HCF of 119 and 140 =
  16. 16.HCF of 414 and 115 =
  17. 17.HCF of 216 and 408 =
  18. 18.HCF of 12 and 45 =
  19. 19.HCF of 75 and 45 =
  20. 20.HCF of 30 and 21 =
  21. 21.HCF of 209 and 285 =
  22. 22.HCF of 144 and 132 =
  23. 23.HCF of 95 and 55 =
  24. 24.HCF of 36 and 15 =
  25. 25.HCF of 112 and 210 =
  26. 26.HCF of 68 and 20 =
  27. 27.HCF of 117 and 104 =
  28. 28.HCF of 345 and 253 =
  29. 29.HCF of 143 and 176 =
  30. 30.HCF of 102 and 78 =
  31. 31.HCF of 33 and 42 =
  32. 32.HCF of 126 and 105 =
  33. 33.HCF of 273 and 231 =
  34. 34.HCF of 38 and 36 =
  35. 35.HCF of 20 and 75 =
  36. 36.HCF of 18 and 84 =
  37. 37.HCF of 78 and 221 =
  38. 38.HCF of 44 and 66 =
  39. 39.HCF of 16 and 20 =
  40. 40.HCF of 187 and 340 =

Answer key

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

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