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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 346 · 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 42 and 66 =
  2. 2.HCF of 200 and 475 =
  3. 3.HCF of 105 and 42 =
  4. 4.HCF of 126 and 56 =
  5. 5.HCF of 220 and 100 =
  6. 6.HCF of 105 and 42 =
  7. 7.HCF of 32 and 6 =
  8. 8.HCF of 216 and 192 =
  9. 9.HCF of 65 and 52 =
  10. 10.HCF of 437 and 391 =
  11. 11.HCF of 119 and 35 =
  12. 12.HCF of 52 and 60 =
  13. 13.HCF of 126 and 70 =
  14. 14.HCF of 384 and 120 =
  15. 15.HCF of 84 and 72 =
  16. 16.HCF of 253 and 322 =
  17. 17.HCF of 56 and 128 =
  18. 18.HCF of 234 and 143 =
  19. 19.HCF of 70 and 266 =
  20. 20.HCF of 49 and 140 =
  21. 21.HCF of 323 and 187 =
  22. 22.HCF of 391 and 230 =
  23. 23.HCF of 40 and 136 =
  24. 24.HCF of 105 and 294 =
  25. 25.HCF of 91 and 234 =
  26. 26.HCF of 133 and 21 =
  27. 27.HCF of 140 and 260 =
  28. 28.HCF of 342 and 108 =
  29. 29.HCF of 56 and 88 =
  30. 30.HCF of 147 and 210 =
  31. 31.HCF of 187 and 176 =
  32. 32.HCF of 165 and 209 =
  33. 33.HCF of 198 and 342 =
  34. 34.HCF of 396 and 418 =
  35. 35.HCF of 14 and 12 =
  36. 36.HCF of 378 and 147 =
  37. 37.HCF of 4 and 14 =
  38. 38.HCF of 12 and 64 =
  39. 39.HCF of 391 and 460 =
  40. 40.HCF of 234 and 54 =

Answer key

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

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