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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 296 · 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 253 and 46 =
  2. 2.HCF of 133 and 126 =
  3. 3.HCF of 144 and 81 =
  4. 4.HCF of 91 and 156 =
  5. 5.HCF of 135 and 300 =
  6. 6.HCF of 84 and 24 =
  7. 7.HCF of 234 and 169 =
  8. 8.HCF of 46 and 253 =
  9. 9.HCF of 48 and 312 =
  10. 10.HCF of 252 and 98 =
  11. 11.HCF of 45 and 30 =
  12. 12.HCF of 176 and 187 =
  13. 13.HCF of 24 and 88 =
  14. 14.HCF of 88 and 286 =
  15. 15.HCF of 70 and 98 =
  16. 16.HCF of 133 and 228 =
  17. 17.HCF of 272 and 192 =
  18. 18.HCF of 117 and 221 =
  19. 19.HCF of 48 and 168 =
  20. 20.HCF of 15 and 21 =
  21. 21.HCF of 50 and 40 =
  22. 22.HCF of 165 and 90 =
  23. 23.HCF of 21 and 91 =
  24. 24.HCF of 192 and 216 =
  25. 25.HCF of 6 and 40 =
  26. 26.HCF of 168 and 189 =
  27. 27.HCF of 378 and 105 =
  28. 28.HCF of 132 and 108 =
  29. 29.HCF of 161 and 46 =
  30. 30.HCF of 231 and 168 =
  31. 31.HCF of 28 and 80 =
  32. 32.HCF of 234 and 169 =
  33. 33.HCF of 160 and 24 =
  34. 34.HCF of 105 and 399 =
  35. 35.HCF of 143 and 208 =
  36. 36.HCF of 144 and 156 =
  37. 37.HCF of 20 and 6 =
  38. 38.HCF of 299 and 207 =
  39. 39.HCF of 153 and 99 =
  40. 40.HCF of 36 and 60 =

Answer key

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

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