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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 371 · 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 133 and 91 =
  2. 2.HCF of 144 and 128 =
  3. 3.HCF of 39 and 52 =
  4. 4.HCF of 32 and 52 =
  5. 5.HCF of 45 and 55 =
  6. 6.HCF of 176 and 154 =
  7. 7.HCF of 299 and 230 =
  8. 8.HCF of 330 and 154 =
  9. 9.HCF of 40 and 340 =
  10. 10.HCF of 180 and 70 =
  11. 11.HCF of 169 and 26 =
  12. 12.HCF of 70 and 56 =
  13. 13.HCF of 42 and 70 =
  14. 14.HCF of 198 and 440 =
  15. 15.HCF of 475 and 450 =
  16. 16.HCF of 110 and 70 =
  17. 17.HCF of 119 and 170 =
  18. 18.HCF of 273 and 315 =
  19. 19.HCF of 22 and 209 =
  20. 20.HCF of 110 and 154 =
  21. 21.HCF of 30 and 39 =
  22. 22.HCF of 27 and 60 =
  23. 23.HCF of 70 and 75 =
  24. 24.HCF of 98 and 105 =
  25. 25.HCF of 28 and 182 =
  26. 26.HCF of 15 and 9 =
  27. 27.HCF of 136 and 289 =
  28. 28.HCF of 6 and 16 =
  29. 29.HCF of 228 and 323 =
  30. 30.HCF of 238 and 154 =
  31. 31.HCF of 80 and 208 =
  32. 32.HCF of 252 and 357 =
  33. 33.HCF of 340 and 180 =
  34. 34.HCF of 69 and 161 =
  35. 35.HCF of 132 and 84 =
  36. 36.HCF of 160 and 260 =
  37. 37.HCF of 20 and 68 =
  38. 38.HCF of 70 and 112 =
  39. 39.HCF of 260 and 160 =
  40. 40.HCF of 192 and 208 =

Answer key

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

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