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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 105 · 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 272 and 119 =
  2. 2.HCF of 312 and 360 =
  3. 3.HCF of 90 and 200 =
  4. 4.HCF of 153 and 45 =
  5. 5.HCF of 266 and 210 =
  6. 6.HCF of 240 and 132 =
  7. 7.HCF of 36 and 228 =
  8. 8.HCF of 99 and 108 =
  9. 9.HCF of 112 and 105 =
  10. 10.HCF of 120 and 54 =
  11. 11.HCF of 150 and 190 =
  12. 12.HCF of 273 and 231 =
  13. 13.HCF of 475 and 100 =
  14. 14.HCF of 30 and 285 =
  15. 15.HCF of 306 and 108 =
  16. 16.HCF of 81 and 117 =
  17. 17.HCF of 50 and 125 =
  18. 18.HCF of 140 and 170 =
  19. 19.HCF of 102 and 42 =
  20. 20.HCF of 26 and 65 =
  21. 21.HCF of 289 and 153 =
  22. 22.HCF of 28 and 21 =
  23. 23.HCF of 96 and 176 =
  24. 24.HCF of 165 and 154 =
  25. 25.HCF of 276 and 437 =
  26. 26.HCF of 121 and 88 =
  27. 27.HCF of 125 and 450 =
  28. 28.HCF of 270 and 285 =
  29. 29.HCF of 98 and 119 =
  30. 30.HCF of 153 and 187 =
  31. 31.HCF of 88 and 209 =
  32. 32.HCF of 9 and 42 =
  33. 33.HCF of 135 and 18 =
  34. 34.HCF of 238 and 168 =
  35. 35.HCF of 119 and 272 =
  36. 36.HCF of 18 and 15 =
  37. 37.HCF of 221 and 34 =
  38. 38.HCF of 51 and 57 =
  39. 39.HCF of 130 and 80 =
  40. 40.HCF of 247 and 52 =

Answer key

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

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