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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 993 · 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 480 and 168 =
  2. 2.HCF of 182 and 210 =
  3. 3.HCF of 70 and 112 =
  4. 4.HCF of 60 and 80 =
  5. 5.HCF of 44 and 55 =
  6. 6.HCF of 80 and 85 =
  7. 7.HCF of 57 and 12 =
  8. 8.HCF of 21 and 140 =
  9. 9.HCF of 216 and 228 =
  10. 10.HCF of 165 and 150 =
  11. 11.HCF of 250 and 325 =
  12. 12.HCF of 77 and 14 =
  13. 13.HCF of 45 and 255 =
  14. 14.HCF of 120 and 108 =
  15. 15.HCF of 286 and 418 =
  16. 16.HCF of 357 and 210 =
  17. 17.HCF of 300 and 125 =
  18. 18.HCF of 361 and 171 =
  19. 19.HCF of 225 and 60 =
  20. 20.HCF of 112 and 152 =
  21. 21.HCF of 84 and 154 =
  22. 22.HCF of 80 and 380 =
  23. 23.HCF of 289 and 340 =
  24. 24.HCF of 96 and 84 =
  25. 25.HCF of 165 and 30 =
  26. 26.HCF of 100 and 260 =
  27. 27.HCF of 238 and 187 =
  28. 28.HCF of 65 and 78 =
  29. 29.HCF of 140 and 126 =
  30. 30.HCF of 84 and 180 =
  31. 31.HCF of 112 and 21 =
  32. 32.HCF of 160 and 110 =
  33. 33.HCF of 437 and 69 =
  34. 34.HCF of 60 and 165 =
  35. 35.HCF of 190 and 110 =
  36. 36.HCF of 140 and 266 =
  37. 37.HCF of 33 and 143 =
  38. 38.HCF of 98 and 42 =
  39. 39.HCF of 380 and 247 =
  40. 40.HCF of 28 and 133 =

Answer key

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

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