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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 188 · 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 55 and 95 =
  2. 2.HCF of 96 and 132 =
  3. 3.HCF of 475 and 325 =
  4. 4.HCF of 400 and 60 =
  5. 5.HCF of 180 and 48 =
  6. 6.HCF of 26 and 195 =
  7. 7.HCF of 12 and 10 =
  8. 8.HCF of 21 and 14 =
  9. 9.HCF of 75 and 105 =
  10. 10.HCF of 90 and 288 =
  11. 11.HCF of 72 and 171 =
  12. 12.HCF of 135 and 153 =
  13. 13.HCF of 126 and 28 =
  14. 14.HCF of 170 and 289 =
  15. 15.HCF of 368 and 253 =
  16. 16.HCF of 44 and 330 =
  17. 17.HCF of 224 and 182 =
  18. 18.HCF of 68 and 255 =
  19. 19.HCF of 39 and 247 =
  20. 20.HCF of 169 and 130 =
  21. 21.HCF of 28 and 266 =
  22. 22.HCF of 357 and 231 =
  23. 23.HCF of 80 and 52 =
  24. 24.HCF of 57 and 6 =
  25. 25.HCF of 72 and 312 =
  26. 26.HCF of 380 and 340 =
  27. 27.HCF of 130 and 200 =
  28. 28.HCF of 57 and 95 =
  29. 29.HCF of 144 and 60 =
  30. 30.HCF of 32 and 144 =
  31. 31.HCF of 221 and 156 =
  32. 32.HCF of 27 and 48 =
  33. 33.HCF of 204 and 192 =
  34. 34.HCF of 45 and 18 =
  35. 35.HCF of 64 and 176 =
  36. 36.HCF of 176 and 77 =
  37. 37.HCF of 140 and 260 =
  38. 38.HCF of 68 and 56 =
  39. 39.HCF of 14 and 16 =
  40. 40.HCF of 80 and 48 =

Answer key

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

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