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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 846 · 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 176 and 110 =
  2. 2.HCF of 90 and 36 =
  3. 3.HCF of 6 and 9 =
  4. 4.HCF of 20 and 56 =
  5. 5.HCF of 198 and 36 =
  6. 6.HCF of 260 and 300 =
  7. 7.HCF of 112 and 91 =
  8. 8.HCF of 51 and 18 =
  9. 9.HCF of 165 and 121 =
  10. 10.HCF of 112 and 256 =
  11. 11.HCF of 63 and 91 =
  12. 12.HCF of 133 and 228 =
  13. 13.HCF of 96 and 304 =
  14. 14.HCF of 168 and 180 =
  15. 15.HCF of 437 and 161 =
  16. 16.HCF of 20 and 18 =
  17. 17.HCF of 84 and 98 =
  18. 18.HCF of 56 and 152 =
  19. 19.HCF of 76 and 361 =
  20. 20.HCF of 108 and 168 =
  21. 21.HCF of 180 and 75 =
  22. 22.HCF of 63 and 168 =
  23. 23.HCF of 8 and 34 =
  24. 24.HCF of 216 and 342 =
  25. 25.HCF of 140 and 200 =
  26. 26.HCF of 160 and 190 =
  27. 27.HCF of 90 and 12 =
  28. 28.HCF of 187 and 340 =
  29. 29.HCF of 133 and 190 =
  30. 30.HCF of 60 and 200 =
  31. 31.HCF of 52 and 68 =
  32. 32.HCF of 114 and 96 =
  33. 33.HCF of 42 and 28 =
  34. 34.HCF of 276 and 115 =
  35. 35.HCF of 40 and 100 =
  36. 36.HCF of 69 and 368 =
  37. 37.HCF of 51 and 34 =
  38. 38.HCF of 138 and 161 =
  39. 39.HCF of 168 and 315 =
  40. 40.HCF of 66 and 77 =

Answer key

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

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