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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 207 · 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 176 and 198 =
  2. 2.HCF of 20 and 76 =
  3. 3.HCF of 121 and 165 =
  4. 4.HCF of 175 and 200 =
  5. 5.HCF of 204 and 289 =
  6. 6.HCF of 60 and 72 =
  7. 7.HCF of 198 and 121 =
  8. 8.HCF of 102 and 85 =
  9. 9.HCF of 51 and 36 =
  10. 10.HCF of 210 and 285 =
  11. 11.HCF of 20 and 85 =
  12. 12.HCF of 20 and 170 =
  13. 13.HCF of 100 and 180 =
  14. 14.HCF of 30 and 66 =
  15. 15.HCF of 475 and 200 =
  16. 16.HCF of 45 and 18 =
  17. 17.HCF of 280 and 154 =
  18. 18.HCF of 70 and 20 =
  19. 19.HCF of 432 and 408 =
  20. 20.HCF of 171 and 126 =
  21. 21.HCF of 126 and 198 =
  22. 22.HCF of 192 and 120 =
  23. 23.HCF of 176 and 55 =
  24. 24.HCF of 304 and 57 =
  25. 25.HCF of 90 and 65 =
  26. 26.HCF of 140 and 266 =
  27. 27.HCF of 273 and 210 =
  28. 28.HCF of 51 and 30 =
  29. 29.HCF of 80 and 90 =
  30. 30.HCF of 63 and 28 =
  31. 31.HCF of 500 and 275 =
  32. 32.HCF of 55 and 187 =
  33. 33.HCF of 102 and 48 =
  34. 34.HCF of 408 and 456 =
  35. 35.HCF of 240 and 204 =
  36. 36.HCF of 320 and 144 =
  37. 37.HCF of 60 and 27 =
  38. 38.HCF of 56 and 16 =
  39. 39.HCF of 85 and 272 =
  40. 40.HCF of 100 and 75 =

Answer key

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

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