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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 220 · 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 156 and 204 =
  2. 2.HCF of 160 and 220 =
  3. 3.HCF of 228 and 132 =
  4. 4.HCF of 198 and 352 =
  5. 5.HCF of 140 and 126 =
  6. 6.HCF of 165 and 30 =
  7. 7.HCF of 50 and 45 =
  8. 8.HCF of 26 and 16 =
  9. 9.HCF of 50 and 20 =
  10. 10.HCF of 8 and 14 =
  11. 11.HCF of 18 and 48 =
  12. 12.HCF of 78 and 60 =
  13. 13.HCF of 175 and 375 =
  14. 14.HCF of 50 and 180 =
  15. 15.HCF of 48 and 208 =
  16. 16.HCF of 260 and 169 =
  17. 17.HCF of 160 and 90 =
  18. 18.HCF of 26 and 39 =
  19. 19.HCF of 437 and 161 =
  20. 20.HCF of 475 and 400 =
  21. 21.HCF of 210 and 224 =
  22. 22.HCF of 138 and 437 =
  23. 23.HCF of 209 and 154 =
  24. 24.HCF of 209 and 76 =
  25. 25.HCF of 91 and 119 =
  26. 26.HCF of 300 and 475 =
  27. 27.HCF of 60 and 54 =
  28. 28.HCF of 132 and 110 =
  29. 29.HCF of 121 and 66 =
  30. 30.HCF of 190 and 70 =
  31. 31.HCF of 408 and 120 =
  32. 32.HCF of 30 and 25 =
  33. 33.HCF of 152 and 171 =
  34. 34.HCF of 42 and 15 =
  35. 35.HCF of 27 and 36 =
  36. 36.HCF of 80 and 140 =
  37. 37.HCF of 112 and 77 =
  38. 38.HCF of 304 and 192 =
  39. 39.HCF of 42 and 72 =
  40. 40.HCF of 143 and 117 =

Answer key

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

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