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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 185 · 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 128 and 112 =
  2. 2.HCF of 192 and 36 =
  3. 3.HCF of 175 and 275 =
  4. 4.HCF of 120 and 216 =
  5. 5.HCF of 330 and 418 =
  6. 6.HCF of 12 and 54 =
  7. 7.HCF of 120 and 264 =
  8. 8.HCF of 190 and 50 =
  9. 9.HCF of 25 and 40 =
  10. 10.HCF of 18 and 24 =
  11. 11.HCF of 126 and 70 =
  12. 12.HCF of 27 and 6 =
  13. 13.HCF of 252 and 234 =
  14. 14.HCF of 48 and 21 =
  15. 15.HCF of 374 and 264 =
  16. 16.HCF of 252 and 231 =
  17. 17.HCF of 90 and 342 =
  18. 18.HCF of 36 and 78 =
  19. 19.HCF of 16 and 76 =
  20. 20.HCF of 192 and 72 =
  21. 21.HCF of 42 and 315 =
  22. 22.HCF of 30 and 130 =
  23. 23.HCF of 273 and 168 =
  24. 24.HCF of 42 and 189 =
  25. 25.HCF of 40 and 14 =
  26. 26.HCF of 35 and 10 =
  27. 27.HCF of 65 and 156 =
  28. 28.HCF of 24 and 90 =
  29. 29.HCF of 35 and 10 =
  30. 30.HCF of 105 and 195 =
  31. 31.HCF of 92 and 161 =
  32. 32.HCF of 168 and 180 =
  33. 33.HCF of 56 and 133 =
  34. 34.HCF of 160 and 380 =
  35. 35.HCF of 187 and 153 =
  36. 36.HCF of 12 and 34 =
  37. 37.HCF of 18 and 40 =
  38. 38.HCF of 380 and 323 =
  39. 39.HCF of 38 and 12 =
  40. 40.HCF of 80 and 112 =

Answer key

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

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