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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 253 · 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 266 and 28 =
  2. 2.HCF of 153 and 119 =
  3. 3.HCF of 120 and 105 =
  4. 4.HCF of 80 and 140 =
  5. 5.HCF of 14 and 133 =
  6. 6.HCF of 210 and 98 =
  7. 7.HCF of 49 and 70 =
  8. 8.HCF of 18 and 30 =
  9. 9.HCF of 38 and 323 =
  10. 10.HCF of 18 and 39 =
  11. 11.HCF of 132 and 77 =
  12. 12.HCF of 120 and 130 =
  13. 13.HCF of 49 and 91 =
  14. 14.HCF of 240 and 340 =
  15. 15.HCF of 102 and 72 =
  16. 16.HCF of 136 and 16 =
  17. 17.HCF of 221 and 260 =
  18. 18.HCF of 138 and 161 =
  19. 19.HCF of 77 and 99 =
  20. 20.HCF of 75 and 240 =
  21. 21.HCF of 20 and 28 =
  22. 22.HCF of 228 and 209 =
  23. 23.HCF of 108 and 120 =
  24. 24.HCF of 192 and 108 =
  25. 25.HCF of 171 and 90 =
  26. 26.HCF of 75 and 95 =
  27. 27.HCF of 198 and 90 =
  28. 28.HCF of 308 and 66 =
  29. 29.HCF of 48 and 42 =
  30. 30.HCF of 24 and 78 =
  31. 31.HCF of 10 and 12 =
  32. 32.HCF of 70 and 49 =
  33. 33.HCF of 98 and 21 =
  34. 34.HCF of 56 and 88 =
  35. 35.HCF of 56 and 154 =
  36. 36.HCF of 374 and 154 =
  37. 37.HCF of 77 and 21 =
  38. 38.HCF of 91 and 133 =
  39. 39.HCF of 78 and 114 =
  40. 40.HCF of 33 and 187 =

Answer key

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

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