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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 594 · 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 88 and 286 =
  2. 2.HCF of 32 and 12 =
  3. 3.HCF of 63 and 117 =
  4. 4.HCF of 51 and 238 =
  5. 5.HCF of 60 and 228 =
  6. 6.HCF of 22 and 33 =
  7. 7.HCF of 228 and 156 =
  8. 8.HCF of 242 and 154 =
  9. 9.HCF of 70 and 266 =
  10. 10.HCF of 216 and 192 =
  11. 11.HCF of 57 and 9 =
  12. 12.HCF of 56 and 238 =
  13. 13.HCF of 35 and 14 =
  14. 14.HCF of 475 and 175 =
  15. 15.HCF of 30 and 96 =
  16. 16.HCF of 220 and 200 =
  17. 17.HCF of 42 and 27 =
  18. 18.HCF of 180 and 153 =
  19. 19.HCF of 34 and 30 =
  20. 20.HCF of 95 and 70 =
  21. 21.HCF of 234 and 143 =
  22. 22.HCF of 161 and 207 =
  23. 23.HCF of 102 and 84 =
  24. 24.HCF of 234 and 144 =
  25. 25.HCF of 154 and 210 =
  26. 26.HCF of 30 and 25 =
  27. 27.HCF of 48 and 120 =
  28. 28.HCF of 68 and 8 =
  29. 29.HCF of 325 and 225 =
  30. 30.HCF of 40 and 144 =
  31. 31.HCF of 312 and 240 =
  32. 32.HCF of 132 and 108 =
  33. 33.HCF of 119 and 112 =
  34. 34.HCF of 231 and 252 =
  35. 35.HCF of 48 and 40 =
  36. 36.HCF of 228 and 204 =
  37. 37.HCF of 75 and 240 =
  38. 38.HCF of 224 and 238 =
  39. 39.HCF of 26 and 32 =
  40. 40.HCF of 143 and 176 =

Answer key

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

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