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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 256 · 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 96 and 80 =
  2. 2.HCF of 384 and 360 =
  3. 3.HCF of 175 and 75 =
  4. 4.HCF of 36 and 22 =
  5. 5.HCF of 119 and 35 =
  6. 6.HCF of 138 and 161 =
  7. 7.HCF of 399 and 357 =
  8. 8.HCF of 49 and 42 =
  9. 9.HCF of 285 and 195 =
  10. 10.HCF of 52 and 247 =
  11. 11.HCF of 150 and 40 =
  12. 12.HCF of 408 and 288 =
  13. 13.HCF of 33 and 6 =
  14. 14.HCF of 8 and 10 =
  15. 15.HCF of 60 and 39 =
  16. 16.HCF of 304 and 224 =
  17. 17.HCF of 18 and 8 =
  18. 18.HCF of 221 and 85 =
  19. 19.HCF of 50 and 70 =
  20. 20.HCF of 256 and 176 =
  21. 21.HCF of 120 and 45 =
  22. 22.HCF of 80 and 52 =
  23. 23.HCF of 162 and 117 =
  24. 24.HCF of 28 and 154 =
  25. 25.HCF of 63 and 70 =
  26. 26.HCF of 208 and 39 =
  27. 27.HCF of 161 and 207 =
  28. 28.HCF of 195 and 300 =
  29. 29.HCF of 325 and 350 =
  30. 30.HCF of 285 and 180 =
  31. 31.HCF of 299 and 138 =
  32. 32.HCF of 128 and 56 =
  33. 33.HCF of 45 and 171 =
  34. 34.HCF of 91 and 35 =
  35. 35.HCF of 50 and 70 =
  36. 36.HCF of 130 and 169 =
  37. 37.HCF of 76 and 209 =
  38. 38.HCF of 475 and 175 =
  39. 39.HCF of 68 and 255 =
  40. 40.HCF of 156 and 132 =

Answer key

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

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