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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 19 · 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 112 and 72 =
  2. 2.HCF of 475 and 175 =
  3. 3.HCF of 170 and 130 =
  4. 4.HCF of 55 and 65 =
  5. 5.HCF of 35 and 91 =
  6. 6.HCF of 195 and 285 =
  7. 7.HCF of 325 and 100 =
  8. 8.HCF of 108 and 192 =
  9. 9.HCF of 396 and 110 =
  10. 10.HCF of 91 and 28 =
  11. 11.HCF of 170 and 60 =
  12. 12.HCF of 119 and 170 =
  13. 13.HCF of 119 and 28 =
  14. 14.HCF of 144 and 117 =
  15. 15.HCF of 90 and 95 =
  16. 16.HCF of 238 and 98 =
  17. 17.HCF of 21 and 51 =
  18. 18.HCF of 48 and 9 =
  19. 19.HCF of 22 and 4 =
  20. 20.HCF of 72 and 96 =
  21. 21.HCF of 70 and 252 =
  22. 22.HCF of 36 and 168 =
  23. 23.HCF of 253 and 184 =
  24. 24.HCF of 204 and 289 =
  25. 25.HCF of 114 and 42 =
  26. 26.HCF of 66 and 440 =
  27. 27.HCF of 40 and 55 =
  28. 28.HCF of 108 and 78 =
  29. 29.HCF of 140 and 170 =
  30. 30.HCF of 275 and 125 =
  31. 31.HCF of 168 and 192 =
  32. 32.HCF of 42 and 119 =
  33. 33.HCF of 210 and 231 =
  34. 34.HCF of 374 and 132 =
  35. 35.HCF of 85 and 30 =
  36. 36.HCF of 220 and 154 =
  37. 37.HCF of 56 and 12 =
  38. 38.HCF of 357 and 126 =
  39. 39.HCF of 21 and 28 =
  40. 40.HCF of 66 and 96 =

Answer key

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

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