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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 896 · 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 182 =
  2. 2.HCF of 221 and 26 =
  3. 3.HCF of 95 and 342 =
  4. 4.HCF of 36 and 135 =
  5. 5.HCF of 48 and 120 =
  6. 6.HCF of 70 and 133 =
  7. 7.HCF of 38 and 14 =
  8. 8.HCF of 26 and 22 =
  9. 9.HCF of 210 and 196 =
  10. 10.HCF of 330 and 242 =
  11. 11.HCF of 50 and 65 =
  12. 12.HCF of 143 and 52 =
  13. 13.HCF of 24 and 64 =
  14. 14.HCF of 126 and 273 =
  15. 15.HCF of 133 and 70 =
  16. 16.HCF of 119 and 34 =
  17. 17.HCF of 65 and 104 =
  18. 18.HCF of 64 and 176 =
  19. 19.HCF of 44 and 242 =
  20. 20.HCF of 100 and 375 =
  21. 21.HCF of 120 and 204 =
  22. 22.HCF of 380 and 209 =
  23. 23.HCF of 88 and 144 =
  24. 24.HCF of 54 and 36 =
  25. 25.HCF of 225 and 275 =
  26. 26.HCF of 195 and 104 =
  27. 27.HCF of 126 and 99 =
  28. 28.HCF of 16 and 68 =
  29. 29.HCF of 190 and 90 =
  30. 30.HCF of 38 and 14 =
  31. 31.HCF of 230 and 253 =
  32. 32.HCF of 252 and 231 =
  33. 33.HCF of 21 and 12 =
  34. 34.HCF of 51 and 85 =
  35. 35.HCF of 187 and 272 =
  36. 36.HCF of 55 and 95 =
  37. 37.HCF of 80 and 144 =
  38. 38.HCF of 112 and 128 =
  39. 39.HCF of 66 and 90 =
  40. 40.HCF of 75 and 50 =

Answer key

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

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