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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 12 · 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 80 and 144 =
  2. 2.HCF of 208 and 64 =
  3. 3.HCF of 51 and 27 =
  4. 4.HCF of 117 and 63 =
  5. 5.HCF of 57 and 133 =
  6. 6.HCF of 192 and 176 =
  7. 7.HCF of 192 and 112 =
  8. 8.HCF of 110 and 187 =
  9. 9.HCF of 57 and 27 =
  10. 10.HCF of 50 and 55 =
  11. 11.HCF of 20 and 52 =
  12. 12.HCF of 25 and 65 =
  13. 13.HCF of 32 and 36 =
  14. 14.HCF of 105 and 91 =
  15. 15.HCF of 210 and 357 =
  16. 16.HCF of 76 and 36 =
  17. 17.HCF of 209 and 361 =
  18. 18.HCF of 204 and 24 =
  19. 19.HCF of 192 and 456 =
  20. 20.HCF of 34 and 153 =
  21. 21.HCF of 85 and 68 =
  22. 22.HCF of 190 and 50 =
  23. 23.HCF of 39 and 54 =
  24. 24.HCF of 207 and 368 =
  25. 25.HCF of 144 and 88 =
  26. 26.HCF of 112 and 176 =
  27. 27.HCF of 143 and 176 =
  28. 28.HCF of 360 and 126 =
  29. 29.HCF of 27 and 45 =
  30. 30.HCF of 34 and 14 =
  31. 31.HCF of 308 and 66 =
  32. 32.HCF of 15 and 18 =
  33. 33.HCF of 160 and 136 =
  34. 34.HCF of 299 and 138 =
  35. 35.HCF of 65 and 30 =
  36. 36.HCF of 168 and 231 =
  37. 37.HCF of 170 and 40 =
  38. 38.HCF of 114 and 96 =
  39. 39.HCF of 26 and 4 =
  40. 40.HCF of 154 and 126 =

Answer key

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

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