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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 759 · 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 138 and 391 =
  2. 2.HCF of 88 and 72 =
  3. 3.HCF of 195 and 104 =
  4. 4.HCF of 36 and 52 =
  5. 5.HCF of 48 and 108 =
  6. 6.HCF of 136 and 96 =
  7. 7.HCF of 98 and 252 =
  8. 8.HCF of 60 and 400 =
  9. 9.HCF of 33 and 110 =
  10. 10.HCF of 95 and 114 =
  11. 11.HCF of 375 and 50 =
  12. 12.HCF of 460 and 253 =
  13. 13.HCF of 36 and 16 =
  14. 14.HCF of 80 and 256 =
  15. 15.HCF of 66 and 374 =
  16. 16.HCF of 117 and 144 =
  17. 17.HCF of 231 and 273 =
  18. 18.HCF of 25 and 45 =
  19. 19.HCF of 40 and 170 =
  20. 20.HCF of 192 and 156 =
  21. 21.HCF of 60 and 96 =
  22. 22.HCF of 6 and 21 =
  23. 23.HCF of 42 and 54 =
  24. 24.HCF of 169 and 104 =
  25. 25.HCF of 49 and 21 =
  26. 26.HCF of 190 and 170 =
  27. 27.HCF of 95 and 114 =
  28. 28.HCF of 120 and 54 =
  29. 29.HCF of 80 and 36 =
  30. 30.HCF of 69 and 322 =
  31. 31.HCF of 161 and 207 =
  32. 32.HCF of 63 and 14 =
  33. 33.HCF of 391 and 138 =
  34. 34.HCF of 144 and 224 =
  35. 35.HCF of 391 and 92 =
  36. 36.HCF of 76 and 323 =
  37. 37.HCF of 85 and 50 =
  38. 38.HCF of 42 and 154 =
  39. 39.HCF of 105 and 112 =
  40. 40.HCF of 20 and 14 =

Answer key

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

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