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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 657 · 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 60 and 95 =
  2. 2.HCF of 315 and 84 =
  3. 3.HCF of 42 and 15 =
  4. 4.HCF of 35 and 63 =
  5. 5.HCF of 231 and 420 =
  6. 6.HCF of 108 and 132 =
  7. 7.HCF of 33 and 121 =
  8. 8.HCF of 8 and 28 =
  9. 9.HCF of 357 and 42 =
  10. 10.HCF of 286 and 440 =
  11. 11.HCF of 220 and 360 =
  12. 12.HCF of 133 and 91 =
  13. 13.HCF of 324 and 198 =
  14. 14.HCF of 153 and 187 =
  15. 15.HCF of 208 and 117 =
  16. 16.HCF of 240 and 36 =
  17. 17.HCF of 42 and 224 =
  18. 18.HCF of 95 and 10 =
  19. 19.HCF of 91 and 195 =
  20. 20.HCF of 120 and 105 =
  21. 21.HCF of 272 and 176 =
  22. 22.HCF of 171 and 380 =
  23. 23.HCF of 234 and 91 =
  24. 24.HCF of 63 and 162 =
  25. 25.HCF of 56 and 12 =
  26. 26.HCF of 60 and 55 =
  27. 27.HCF of 220 and 240 =
  28. 28.HCF of 399 and 42 =
  29. 29.HCF of 208 and 64 =
  30. 30.HCF of 36 and 114 =
  31. 31.HCF of 192 and 60 =
  32. 32.HCF of 88 and 187 =
  33. 33.HCF of 60 and 200 =
  34. 34.HCF of 42 and 78 =
  35. 35.HCF of 286 and 154 =
  36. 36.HCF of 80 and 176 =
  37. 37.HCF of 50 and 55 =
  38. 38.HCF of 247 and 39 =
  39. 39.HCF of 168 and 189 =
  40. 40.HCF of 209 and 247 =

Answer key

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

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