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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 432 · 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 68 and 187 =
  2. 2.HCF of 480 and 312 =
  3. 3.HCF of 200 and 60 =
  4. 4.HCF of 399 and 42 =
  5. 5.HCF of 128 and 56 =
  6. 6.HCF of 192 and 112 =
  7. 7.HCF of 221 and 119 =
  8. 8.HCF of 18 and 38 =
  9. 9.HCF of 54 and 117 =
  10. 10.HCF of 323 and 304 =
  11. 11.HCF of 33 and 44 =
  12. 12.HCF of 8 and 6 =
  13. 13.HCF of 119 and 49 =
  14. 14.HCF of 375 and 325 =
  15. 15.HCF of 147 and 210 =
  16. 16.HCF of 85 and 90 =
  17. 17.HCF of 45 and 95 =
  18. 18.HCF of 126 and 45 =
  19. 19.HCF of 105 and 168 =
  20. 20.HCF of 34 and 119 =
  21. 21.HCF of 323 and 102 =
  22. 22.HCF of 272 and 224 =
  23. 23.HCF of 78 and 24 =
  24. 24.HCF of 306 and 72 =
  25. 25.HCF of 175 and 200 =
  26. 26.HCF of 119 and 85 =
  27. 27.HCF of 10 and 32 =
  28. 28.HCF of 132 and 228 =
  29. 29.HCF of 100 and 85 =
  30. 30.HCF of 357 and 210 =
  31. 31.HCF of 99 and 126 =
  32. 32.HCF of 143 and 65 =
  33. 33.HCF of 32 and 6 =
  34. 34.HCF of 180 and 156 =
  35. 35.HCF of 22 and 209 =
  36. 36.HCF of 408 and 72 =
  37. 37.HCF of 170 and 80 =
  38. 38.HCF of 152 and 133 =
  39. 39.HCF of 26 and 34 =
  40. 40.HCF of 40 and 55 =

Answer key

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

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