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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 963 · 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 10 and 22 =
  2. 2.HCF of 380 and 320 =
  3. 3.HCF of 357 and 294 =
  4. 4.HCF of 36 and 168 =
  5. 5.HCF of 20 and 72 =
  6. 6.HCF of 144 and 198 =
  7. 7.HCF of 154 and 209 =
  8. 8.HCF of 39 and 18 =
  9. 9.HCF of 315 and 273 =
  10. 10.HCF of 48 and 42 =
  11. 11.HCF of 8 and 10 =
  12. 12.HCF of 34 and 12 =
  13. 13.HCF of 91 and 234 =
  14. 14.HCF of 20 and 150 =
  15. 15.HCF of 133 and 171 =
  16. 16.HCF of 40 and 220 =
  17. 17.HCF of 176 and 33 =
  18. 18.HCF of 374 and 440 =
  19. 19.HCF of 357 and 315 =
  20. 20.HCF of 357 and 84 =
  21. 21.HCF of 90 and 35 =
  22. 22.HCF of 9 and 24 =
  23. 23.HCF of 66 and 110 =
  24. 24.HCF of 9 and 33 =
  25. 25.HCF of 221 and 238 =
  26. 26.HCF of 14 and 105 =
  27. 27.HCF of 27 and 63 =
  28. 28.HCF of 45 and 25 =
  29. 29.HCF of 162 and 234 =
  30. 30.HCF of 176 and 55 =
  31. 31.HCF of 85 and 68 =
  32. 32.HCF of 66 and 308 =
  33. 33.HCF of 40 and 104 =
  34. 34.HCF of 42 and 63 =
  35. 35.HCF of 136 and 80 =
  36. 36.HCF of 28 and 20 =
  37. 37.HCF of 418 and 44 =
  38. 38.HCF of 418 and 66 =
  39. 39.HCF of 175 and 250 =
  40. 40.HCF of 140 and 120 =

Answer key

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

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