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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 847 · 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 209 and 323 =
  2. 2.HCF of 110 and 200 =
  3. 3.HCF of 168 and 180 =
  4. 4.HCF of 175 and 150 =
  5. 5.HCF of 154 and 280 =
  6. 6.HCF of 6 and 8 =
  7. 7.HCF of 99 and 45 =
  8. 8.HCF of 160 and 24 =
  9. 9.HCF of 49 and 84 =
  10. 10.HCF of 6 and 26 =
  11. 11.HCF of 420 and 63 =
  12. 12.HCF of 16 and 72 =
  13. 13.HCF of 234 and 216 =
  14. 14.HCF of 34 and 38 =
  15. 15.HCF of 133 and 42 =
  16. 16.HCF of 136 and 289 =
  17. 17.HCF of 72 and 48 =
  18. 18.HCF of 156 and 36 =
  19. 19.HCF of 70 and 21 =
  20. 20.HCF of 140 and 98 =
  21. 21.HCF of 299 and 276 =
  22. 22.HCF of 45 and 162 =
  23. 23.HCF of 18 and 45 =
  24. 24.HCF of 198 and 220 =
  25. 25.HCF of 240 and 380 =
  26. 26.HCF of 180 and 110 =
  27. 27.HCF of 408 and 216 =
  28. 28.HCF of 21 and 57 =
  29. 29.HCF of 100 and 190 =
  30. 30.HCF of 95 and 57 =
  31. 31.HCF of 49 and 70 =
  32. 32.HCF of 133 and 56 =
  33. 33.HCF of 408 and 432 =
  34. 34.HCF of 102 and 114 =
  35. 35.HCF of 70 and 196 =
  36. 36.HCF of 27 and 117 =
  37. 37.HCF of 84 and 120 =
  38. 38.HCF of 128 and 24 =
  39. 39.HCF of 48 and 84 =
  40. 40.HCF of 325 and 250 =

Answer key

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

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