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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 442 · 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 98 and 154 =
  2. 2.HCF of 275 and 175 =
  3. 3.HCF of 45 and 108 =
  4. 4.HCF of 96 and 40 =
  5. 5.HCF of 140 and 119 =
  6. 6.HCF of 105 and 357 =
  7. 7.HCF of 80 and 112 =
  8. 8.HCF of 165 and 75 =
  9. 9.HCF of 132 and 77 =
  10. 10.HCF of 91 and 52 =
  11. 11.HCF of 176 and 32 =
  12. 12.HCF of 240 and 224 =
  13. 13.HCF of 105 and 30 =
  14. 14.HCF of 192 and 168 =
  15. 15.HCF of 68 and 48 =
  16. 16.HCF of 27 and 126 =
  17. 17.HCF of 255 and 135 =
  18. 18.HCF of 40 and 220 =
  19. 19.HCF of 120 and 288 =
  20. 20.HCF of 342 and 36 =
  21. 21.HCF of 272 and 176 =
  22. 22.HCF of 136 and 40 =
  23. 23.HCF of 135 and 72 =
  24. 24.HCF of 133 and 21 =
  25. 25.HCF of 285 and 152 =
  26. 26.HCF of 384 and 360 =
  27. 27.HCF of 60 and 255 =
  28. 28.HCF of 90 and 75 =
  29. 29.HCF of 92 and 391 =
  30. 30.HCF of 169 and 52 =
  31. 31.HCF of 30 and 25 =
  32. 32.HCF of 42 and 120 =
  33. 33.HCF of 91 and 28 =
  34. 34.HCF of 220 and 200 =
  35. 35.HCF of 360 and 264 =
  36. 36.HCF of 32 and 14 =
  37. 37.HCF of 126 and 266 =
  38. 38.HCF of 63 and 133 =
  39. 39.HCF of 28 and 22 =
  40. 40.HCF of 132 and 108 =

Answer key

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

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