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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 461 · 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 108 and 342 =
  2. 2.HCF of 28 and 72 =
  3. 3.HCF of 34 and 18 =
  4. 4.HCF of 336 and 315 =
  5. 5.HCF of 95 and 228 =
  6. 6.HCF of 26 and 32 =
  7. 7.HCF of 380 and 200 =
  8. 8.HCF of 322 and 391 =
  9. 9.HCF of 200 and 110 =
  10. 10.HCF of 144 and 84 =
  11. 11.HCF of 50 and 170 =
  12. 12.HCF of 18 and 26 =
  13. 13.HCF of 15 and 12 =
  14. 14.HCF of 24 and 76 =
  15. 15.HCF of 80 and 176 =
  16. 16.HCF of 136 and 40 =
  17. 17.HCF of 100 and 240 =
  18. 18.HCF of 92 and 161 =
  19. 19.HCF of 77 and 66 =
  20. 20.HCF of 195 and 169 =
  21. 21.HCF of 361 and 76 =
  22. 22.HCF of 44 and 121 =
  23. 23.HCF of 44 and 12 =
  24. 24.HCF of 77 and 105 =
  25. 25.HCF of 114 and 48 =
  26. 26.HCF of 264 and 192 =
  27. 27.HCF of 6 and 38 =
  28. 28.HCF of 75 and 90 =
  29. 29.HCF of 130 and 60 =
  30. 30.HCF of 325 and 50 =
  31. 31.HCF of 40 and 48 =
  32. 32.HCF of 119 and 34 =
  33. 33.HCF of 231 and 126 =
  34. 34.HCF of 336 and 105 =
  35. 35.HCF of 50 and 160 =
  36. 36.HCF of 312 and 288 =
  37. 37.HCF of 57 and 36 =
  38. 38.HCF of 264 and 242 =
  39. 39.HCF of 22 and 209 =
  40. 40.HCF of 126 and 90 =

Answer key

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

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