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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 514 · 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 322 and 69 =
  2. 2.HCF of 176 and 224 =
  3. 3.HCF of 34 and 119 =
  4. 4.HCF of 160 and 180 =
  5. 5.HCF of 15 and 6 =
  6. 6.HCF of 220 and 140 =
  7. 7.HCF of 56 and 68 =
  8. 8.HCF of 60 and 18 =
  9. 9.HCF of 30 and 33 =
  10. 10.HCF of 368 and 115 =
  11. 11.HCF of 42 and 280 =
  12. 12.HCF of 6 and 16 =
  13. 13.HCF of 105 and 189 =
  14. 14.HCF of 85 and 25 =
  15. 15.HCF of 16 and 136 =
  16. 16.HCF of 306 and 85 =
  17. 17.HCF of 273 and 252 =
  18. 18.HCF of 33 and 30 =
  19. 19.HCF of 105 and 225 =
  20. 20.HCF of 119 and 133 =
  21. 21.HCF of 54 and 144 =
  22. 22.HCF of 187 and 323 =
  23. 23.HCF of 120 and 112 =
  24. 24.HCF of 289 and 323 =
  25. 25.HCF of 30 and 190 =
  26. 26.HCF of 102 and 85 =
  27. 27.HCF of 6 and 21 =
  28. 28.HCF of 152 and 171 =
  29. 29.HCF of 65 and 45 =
  30. 30.HCF of 154 and 33 =
  31. 31.HCF of 210 and 182 =
  32. 32.HCF of 221 and 130 =
  33. 33.HCF of 85 and 55 =
  34. 34.HCF of 154 and 44 =
  35. 35.HCF of 340 and 240 =
  36. 36.HCF of 182 and 169 =
  37. 37.HCF of 170 and 130 =
  38. 38.HCF of 42 and 266 =
  39. 39.HCF of 209 and 57 =
  40. 40.HCF of 224 and 70 =

Answer key

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

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