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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 884 · 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 221 and 102 =
  2. 2.HCF of 132 and 418 =
  3. 3.HCF of 380 and 60 =
  4. 4.HCF of 176 and 66 =
  5. 5.HCF of 374 and 220 =
  6. 6.HCF of 400 and 225 =
  7. 7.HCF of 180 and 168 =
  8. 8.HCF of 92 and 437 =
  9. 9.HCF of 136 and 112 =
  10. 10.HCF of 200 and 130 =
  11. 11.HCF of 75 and 55 =
  12. 12.HCF of 80 and 96 =
  13. 13.HCF of 130 and 180 =
  14. 14.HCF of 9 and 12 =
  15. 15.HCF of 55 and 22 =
  16. 16.HCF of 28 and 24 =
  17. 17.HCF of 336 and 399 =
  18. 18.HCF of 98 and 42 =
  19. 19.HCF of 88 and 80 =
  20. 20.HCF of 280 and 380 =
  21. 21.HCF of 26 and 10 =
  22. 22.HCF of 96 and 102 =
  23. 23.HCF of 28 and 26 =
  24. 24.HCF of 56 and 160 =
  25. 25.HCF of 35 and 60 =
  26. 26.HCF of 156 and 84 =
  27. 27.HCF of 170 and 60 =
  28. 28.HCF of 399 and 105 =
  29. 29.HCF of 132 and 156 =
  30. 30.HCF of 460 and 69 =
  31. 31.HCF of 60 and 33 =
  32. 32.HCF of 77 and 42 =
  33. 33.HCF of 105 and 240 =
  34. 34.HCF of 25 and 85 =
  35. 35.HCF of 24 and 21 =
  36. 36.HCF of 12 and 78 =
  37. 37.HCF of 168 and 480 =
  38. 38.HCF of 272 and 119 =
  39. 39.HCF of 136 and 32 =
  40. 40.HCF of 54 and 252 =

Answer key

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

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