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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 966 · 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 102 and 54 =
  2. 2.HCF of 252 and 154 =
  3. 3.HCF of 132 and 72 =
  4. 4.HCF of 84 and 91 =
  5. 5.HCF of 171 and 117 =
  6. 6.HCF of 24 and 36 =
  7. 7.HCF of 147 and 105 =
  8. 8.HCF of 35 and 10 =
  9. 9.HCF of 8 and 38 =
  10. 10.HCF of 20 and 16 =
  11. 11.HCF of 117 and 52 =
  12. 12.HCF of 104 and 144 =
  13. 13.HCF of 180 and 80 =
  14. 14.HCF of 55 and 85 =
  15. 15.HCF of 375 and 400 =
  16. 16.HCF of 48 and 54 =
  17. 17.HCF of 132 and 84 =
  18. 18.HCF of 72 and 60 =
  19. 19.HCF of 140 and 240 =
  20. 20.HCF of 136 and 120 =
  21. 21.HCF of 55 and 154 =
  22. 22.HCF of 207 and 115 =
  23. 23.HCF of 60 and 32 =
  24. 24.HCF of 49 and 105 =
  25. 25.HCF of 323 and 57 =
  26. 26.HCF of 4 and 34 =
  27. 27.HCF of 144 and 117 =
  28. 28.HCF of 153 and 144 =
  29. 29.HCF of 60 and 39 =
  30. 30.HCF of 18 and 39 =
  31. 31.HCF of 112 and 72 =
  32. 32.HCF of 165 and 30 =
  33. 33.HCF of 175 and 200 =
  34. 34.HCF of 60 and 54 =
  35. 35.HCF of 266 and 57 =
  36. 36.HCF of 228 and 192 =
  37. 37.HCF of 16 and 56 =
  38. 38.HCF of 15 and 48 =
  39. 39.HCF of 32 and 72 =
  40. 40.HCF of 340 and 160 =

Answer key

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

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