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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 406 · 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 126 and 273 =
  2. 2.HCF of 84 and 144 =
  3. 3.HCF of 63 and 42 =
  4. 4.HCF of 425 and 200 =
  5. 5.HCF of 30 and 75 =
  6. 6.HCF of 133 and 119 =
  7. 7.HCF of 91 and 247 =
  8. 8.HCF of 190 and 50 =
  9. 9.HCF of 98 and 252 =
  10. 10.HCF of 336 and 315 =
  11. 11.HCF of 51 and 18 =
  12. 12.HCF of 153 and 162 =
  13. 13.HCF of 154 and 140 =
  14. 14.HCF of 30 and 114 =
  15. 15.HCF of 75 and 20 =
  16. 16.HCF of 32 and 176 =
  17. 17.HCF of 90 and 95 =
  18. 18.HCF of 35 and 45 =
  19. 19.HCF of 99 and 72 =
  20. 20.HCF of 48 and 52 =
  21. 21.HCF of 108 and 60 =
  22. 22.HCF of 234 and 360 =
  23. 23.HCF of 399 and 357 =
  24. 24.HCF of 187 and 33 =
  25. 25.HCF of 345 and 299 =
  26. 26.HCF of 54 and 63 =
  27. 27.HCF of 360 and 96 =
  28. 28.HCF of 65 and 55 =
  29. 29.HCF of 247 and 114 =
  30. 30.HCF of 342 and 360 =
  31. 31.HCF of 105 and 231 =
  32. 32.HCF of 36 and 54 =
  33. 33.HCF of 81 and 99 =
  34. 34.HCF of 230 and 69 =
  35. 35.HCF of 264 and 336 =
  36. 36.HCF of 168 and 156 =
  37. 37.HCF of 104 and 88 =
  38. 38.HCF of 288 and 208 =
  39. 39.HCF of 175 and 450 =
  40. 40.HCF of 105 and 126 =

Answer key

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

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