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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 985 · 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 18 and 22 =
  2. 2.HCF of 216 and 204 =
  3. 3.HCF of 400 and 380 =
  4. 4.HCF of 12 and 38 =
  5. 5.HCF of 105 and 231 =
  6. 6.HCF of 112 and 126 =
  7. 7.HCF of 176 and 144 =
  8. 8.HCF of 14 and 30 =
  9. 9.HCF of 15 and 100 =
  10. 10.HCF of 40 and 48 =
  11. 11.HCF of 72 and 240 =
  12. 12.HCF of 27 and 12 =
  13. 13.HCF of 182 and 126 =
  14. 14.HCF of 168 and 48 =
  15. 15.HCF of 63 and 35 =
  16. 16.HCF of 50 and 80 =
  17. 17.HCF of 147 and 210 =
  18. 18.HCF of 36 and 132 =
  19. 19.HCF of 21 and 14 =
  20. 20.HCF of 96 and 88 =
  21. 21.HCF of 160 and 208 =
  22. 22.HCF of 56 and 24 =
  23. 23.HCF of 12 and 20 =
  24. 24.HCF of 255 and 285 =
  25. 25.HCF of 63 and 18 =
  26. 26.HCF of 24 and 14 =
  27. 27.HCF of 216 and 84 =
  28. 28.HCF of 49 and 133 =
  29. 29.HCF of 121 and 55 =
  30. 30.HCF of 100 and 375 =
  31. 31.HCF of 128 and 72 =
  32. 32.HCF of 27 and 6 =
  33. 33.HCF of 15 and 51 =
  34. 34.HCF of 374 and 176 =
  35. 35.HCF of 96 and 56 =
  36. 36.HCF of 152 and 95 =
  37. 37.HCF of 380 and 360 =
  38. 38.HCF of 288 and 208 =
  39. 39.HCF of 56 and 144 =
  40. 40.HCF of 399 and 315 =

Answer key

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

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