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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 928 · 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 70 and 60 =
  2. 2.HCF of 22 and 77 =
  3. 3.HCF of 96 and 30 =
  4. 4.HCF of 70 and 21 =
  5. 5.HCF of 198 and 44 =
  6. 6.HCF of 189 and 357 =
  7. 7.HCF of 147 and 168 =
  8. 8.HCF of 39 and 24 =
  9. 9.HCF of 56 and 64 =
  10. 10.HCF of 100 and 40 =
  11. 11.HCF of 85 and 119 =
  12. 12.HCF of 380 and 280 =
  13. 13.HCF of 85 and 102 =
  14. 14.HCF of 69 and 184 =
  15. 15.HCF of 190 and 247 =
  16. 16.HCF of 102 and 120 =
  17. 17.HCF of 170 and 110 =
  18. 18.HCF of 16 and 104 =
  19. 19.HCF of 437 and 253 =
  20. 20.HCF of 99 and 63 =
  21. 21.HCF of 153 and 170 =
  22. 22.HCF of 72 and 90 =
  23. 23.HCF of 45 and 27 =
  24. 24.HCF of 147 and 63 =
  25. 25.HCF of 90 and 190 =
  26. 26.HCF of 96 and 132 =
  27. 27.HCF of 66 and 110 =
  28. 28.HCF of 10 and 22 =
  29. 29.HCF of 192 and 60 =
  30. 30.HCF of 135 and 255 =
  31. 31.HCF of 20 and 150 =
  32. 32.HCF of 88 and 165 =
  33. 33.HCF of 77 and 121 =
  34. 34.HCF of 225 and 105 =
  35. 35.HCF of 120 and 112 =
  36. 36.HCF of 44 and 8 =
  37. 37.HCF of 169 and 182 =
  38. 38.HCF of 35 and 25 =
  39. 39.HCF of 336 and 216 =
  40. 40.HCF of 9 and 12 =

Answer key

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

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