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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 104 · 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 260 =
  2. 2.HCF of 102 and 60 =
  3. 3.HCF of 96 and 216 =
  4. 4.HCF of 171 and 153 =
  5. 5.HCF of 234 and 247 =
  6. 6.HCF of 140 and 120 =
  7. 7.HCF of 70 and 20 =
  8. 8.HCF of 304 and 176 =
  9. 9.HCF of 399 and 357 =
  10. 10.HCF of 299 and 46 =
  11. 11.HCF of 110 and 160 =
  12. 12.HCF of 50 and 55 =
  13. 13.HCF of 120 and 45 =
  14. 14.HCF of 255 and 60 =
  15. 15.HCF of 21 and 14 =
  16. 16.HCF of 95 and 209 =
  17. 17.HCF of 48 and 9 =
  18. 18.HCF of 21 and 91 =
  19. 19.HCF of 18 and 117 =
  20. 20.HCF of 195 and 150 =
  21. 21.HCF of 26 and 195 =
  22. 22.HCF of 272 and 80 =
  23. 23.HCF of 247 and 78 =
  24. 24.HCF of 42 and 33 =
  25. 25.HCF of 33 and 154 =
  26. 26.HCF of 48 and 104 =
  27. 27.HCF of 221 and 238 =
  28. 28.HCF of 220 and 187 =
  29. 29.HCF of 312 and 168 =
  30. 30.HCF of 49 and 91 =
  31. 31.HCF of 88 and 136 =
  32. 32.HCF of 154 and 418 =
  33. 33.HCF of 80 and 75 =
  34. 34.HCF of 30 and 9 =
  35. 35.HCF of 63 and 147 =
  36. 36.HCF of 133 and 95 =
  37. 37.HCF of 247 and 39 =
  38. 38.HCF of 152 and 104 =
  39. 39.HCF of 198 and 72 =
  40. 40.HCF of 60 and 85 =

Answer key

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

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