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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 917 · 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 126 and 357 =
  2. 2.HCF of 48 and 114 =
  3. 3.HCF of 408 and 360 =
  4. 4.HCF of 240 and 272 =
  5. 5.HCF of 264 and 120 =
  6. 6.HCF of 55 and 95 =
  7. 7.HCF of 68 and 32 =
  8. 8.HCF of 209 and 187 =
  9. 9.HCF of 345 and 253 =
  10. 10.HCF of 162 and 180 =
  11. 11.HCF of 399 and 168 =
  12. 12.HCF of 220 and 66 =
  13. 13.HCF of 360 and 312 =
  14. 14.HCF of 35 and 40 =
  15. 15.HCF of 168 and 408 =
  16. 16.HCF of 220 and 198 =
  17. 17.HCF of 153 and 36 =
  18. 18.HCF of 210 and 238 =
  19. 19.HCF of 20 and 70 =
  20. 20.HCF of 260 and 400 =
  21. 21.HCF of 154 and 168 =
  22. 22.HCF of 32 and 144 =
  23. 23.HCF of 60 and 9 =
  24. 24.HCF of 420 and 399 =
  25. 25.HCF of 300 and 105 =
  26. 26.HCF of 247 and 76 =
  27. 27.HCF of 9 and 12 =
  28. 28.HCF of 84 and 144 =
  29. 29.HCF of 190 and 40 =
  30. 30.HCF of 154 and 28 =
  31. 31.HCF of 72 and 171 =
  32. 32.HCF of 76 and 285 =
  33. 33.HCF of 42 and 39 =
  34. 34.HCF of 77 and 88 =
  35. 35.HCF of 54 and 24 =
  36. 36.HCF of 306 and 289 =
  37. 37.HCF of 55 and 95 =
  38. 38.HCF of 176 and 224 =
  39. 39.HCF of 20 and 44 =
  40. 40.HCF of 144 and 45 =

Answer key

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

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