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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 863 · 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 304 and 361 =
  2. 2.HCF of 96 and 156 =
  3. 3.HCF of 46 and 345 =
  4. 4.HCF of 15 and 33 =
  5. 5.HCF of 361 and 190 =
  6. 6.HCF of 40 and 36 =
  7. 7.HCF of 34 and 119 =
  8. 8.HCF of 130 and 90 =
  9. 9.HCF of 50 and 15 =
  10. 10.HCF of 96 and 66 =
  11. 11.HCF of 77 and 21 =
  12. 12.HCF of 440 and 374 =
  13. 13.HCF of 56 and 16 =
  14. 14.HCF of 30 and 96 =
  15. 15.HCF of 50 and 60 =
  16. 16.HCF of 306 and 72 =
  17. 17.HCF of 78 and 247 =
  18. 18.HCF of 250 and 475 =
  19. 19.HCF of 380 and 200 =
  20. 20.HCF of 247 and 190 =
  21. 21.HCF of 15 and 70 =
  22. 22.HCF of 154 and 330 =
  23. 23.HCF of 221 and 255 =
  24. 24.HCF of 247 and 38 =
  25. 25.HCF of 162 and 153 =
  26. 26.HCF of 40 and 136 =
  27. 27.HCF of 100 and 125 =
  28. 28.HCF of 144 and 228 =
  29. 29.HCF of 105 and 77 =
  30. 30.HCF of 138 and 299 =
  31. 31.HCF of 85 and 45 =
  32. 32.HCF of 84 and 49 =
  33. 33.HCF of 170 and 50 =
  34. 34.HCF of 80 and 50 =
  35. 35.HCF of 42 and 36 =
  36. 36.HCF of 144 and 198 =
  37. 37.HCF of 150 and 130 =
  38. 38.HCF of 34 and 187 =
  39. 39.HCF of 126 and 144 =
  40. 40.HCF of 340 and 200 =

Answer key

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

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