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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 894 · 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 280 and 154 =
  2. 2.HCF of 42 and 18 =
  3. 3.HCF of 323 and 304 =
  4. 4.HCF of 119 and 51 =
  5. 5.HCF of 272 and 208 =
  6. 6.HCF of 240 and 105 =
  7. 7.HCF of 33 and 45 =
  8. 8.HCF of 120 and 204 =
  9. 9.HCF of 20 and 50 =
  10. 10.HCF of 40 and 260 =
  11. 11.HCF of 75 and 50 =
  12. 12.HCF of 20 and 15 =
  13. 13.HCF of 247 and 143 =
  14. 14.HCF of 120 and 100 =
  15. 15.HCF of 75 and 50 =
  16. 16.HCF of 126 and 182 =
  17. 17.HCF of 81 and 144 =
  18. 18.HCF of 234 and 216 =
  19. 19.HCF of 36 and 24 =
  20. 20.HCF of 256 and 144 =
  21. 21.HCF of 156 and 168 =
  22. 22.HCF of 308 and 418 =
  23. 23.HCF of 189 and 336 =
  24. 24.HCF of 361 and 266 =
  25. 25.HCF of 85 and 30 =
  26. 26.HCF of 153 and 135 =
  27. 27.HCF of 69 and 184 =
  28. 28.HCF of 126 and 35 =
  29. 29.HCF of 175 and 275 =
  30. 30.HCF of 85 and 50 =
  31. 31.HCF of 16 and 12 =
  32. 32.HCF of 161 and 437 =
  33. 33.HCF of 48 and 120 =
  34. 34.HCF of 78 and 30 =
  35. 35.HCF of 48 and 56 =
  36. 36.HCF of 121 and 176 =
  37. 37.HCF of 78 and 24 =
  38. 38.HCF of 133 and 247 =
  39. 39.HCF of 68 and 52 =
  40. 40.HCF of 260 and 247 =

Answer key

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

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