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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 976 · 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 91 and 247 =
  2. 2.HCF of 169 and 65 =
  3. 3.HCF of 304 and 176 =
  4. 4.HCF of 33 and 22 =
  5. 5.HCF of 32 and 34 =
  6. 6.HCF of 51 and 136 =
  7. 7.HCF of 153 and 187 =
  8. 8.HCF of 48 and 30 =
  9. 9.HCF of 12 and 14 =
  10. 10.HCF of 60 and 39 =
  11. 11.HCF of 368 and 253 =
  12. 12.HCF of 27 and 36 =
  13. 13.HCF of 160 and 110 =
  14. 14.HCF of 288 and 162 =
  15. 15.HCF of 125 and 350 =
  16. 16.HCF of 120 and 66 =
  17. 17.HCF of 200 and 60 =
  18. 18.HCF of 72 and 40 =
  19. 19.HCF of 210 and 285 =
  20. 20.HCF of 12 and 66 =
  21. 21.HCF of 88 and 187 =
  22. 22.HCF of 64 and 80 =
  23. 23.HCF of 168 and 399 =
  24. 24.HCF of 80 and 75 =
  25. 25.HCF of 75 and 125 =
  26. 26.HCF of 10 and 14 =
  27. 27.HCF of 16 and 60 =
  28. 28.HCF of 460 and 437 =
  29. 29.HCF of 60 and 135 =
  30. 30.HCF of 285 and 38 =
  31. 31.HCF of 117 and 144 =
  32. 32.HCF of 108 and 156 =
  33. 33.HCF of 140 and 119 =
  34. 34.HCF of 160 and 70 =
  35. 35.HCF of 18 and 42 =
  36. 36.HCF of 56 and 52 =
  37. 37.HCF of 57 and 15 =
  38. 38.HCF of 24 and 33 =
  39. 39.HCF of 55 and 80 =
  40. 40.HCF of 144 and 60 =

Answer key

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

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