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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 654 · 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 425 and 350 =
  2. 2.HCF of 60 and 160 =
  3. 3.HCF of 306 and 234 =
  4. 4.HCF of 133 and 95 =
  5. 5.HCF of 84 and 119 =
  6. 6.HCF of 325 and 175 =
  7. 7.HCF of 140 and 190 =
  8. 8.HCF of 24 and 18 =
  9. 9.HCF of 40 and 30 =
  10. 10.HCF of 81 and 144 =
  11. 11.HCF of 35 and 45 =
  12. 12.HCF of 140 and 50 =
  13. 13.HCF of 65 and 50 =
  14. 14.HCF of 143 and 110 =
  15. 15.HCF of 352 and 286 =
  16. 16.HCF of 28 and 26 =
  17. 17.HCF of 92 and 207 =
  18. 18.HCF of 198 and 54 =
  19. 19.HCF of 165 and 176 =
  20. 20.HCF of 55 and 44 =
  21. 21.HCF of 120 and 36 =
  22. 22.HCF of 80 and 68 =
  23. 23.HCF of 209 and 133 =
  24. 24.HCF of 22 and 12 =
  25. 25.HCF of 60 and 70 =
  26. 26.HCF of 55 and 154 =
  27. 27.HCF of 133 and 14 =
  28. 28.HCF of 162 and 36 =
  29. 29.HCF of 112 and 136 =
  30. 30.HCF of 209 and 76 =
  31. 31.HCF of 55 and 154 =
  32. 32.HCF of 20 and 8 =
  33. 33.HCF of 12 and 21 =
  34. 34.HCF of 90 and 50 =
  35. 35.HCF of 374 and 440 =
  36. 36.HCF of 120 and 54 =
  37. 37.HCF of 161 and 253 =
  38. 38.HCF of 170 and 187 =
  39. 39.HCF of 315 and 273 =
  40. 40.HCF of 30 and 45 =

Answer key

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

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