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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 356 · 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 38 and 4 =
  2. 2.HCF of 72 and 64 =
  3. 3.HCF of 437 and 460 =
  4. 4.HCF of 6 and 39 =
  5. 5.HCF of 85 and 51 =
  6. 6.HCF of 253 and 115 =
  7. 7.HCF of 216 and 192 =
  8. 8.HCF of 130 and 91 =
  9. 9.HCF of 285 and 45 =
  10. 10.HCF of 190 and 40 =
  11. 11.HCF of 500 and 425 =
  12. 12.HCF of 15 and 24 =
  13. 13.HCF of 45 and 12 =
  14. 14.HCF of 161 and 368 =
  15. 15.HCF of 228 and 48 =
  16. 16.HCF of 36 and 76 =
  17. 17.HCF of 228 and 240 =
  18. 18.HCF of 190 and 171 =
  19. 19.HCF of 475 and 275 =
  20. 20.HCF of 160 and 130 =
  21. 21.HCF of 70 and 45 =
  22. 22.HCF of 418 and 66 =
  23. 23.HCF of 40 and 12 =
  24. 24.HCF of 475 and 50 =
  25. 25.HCF of 264 and 288 =
  26. 26.HCF of 440 and 154 =
  27. 27.HCF of 247 and 323 =
  28. 28.HCF of 36 and 21 =
  29. 29.HCF of 120 and 312 =
  30. 30.HCF of 18 and 99 =
  31. 31.HCF of 77 and 133 =
  32. 32.HCF of 340 and 260 =
  33. 33.HCF of 40 and 64 =
  34. 34.HCF of 22 and 26 =
  35. 35.HCF of 72 and 30 =
  36. 36.HCF of 234 and 180 =
  37. 37.HCF of 425 and 375 =
  38. 38.HCF of 64 and 304 =
  39. 39.HCF of 15 and 57 =
  40. 40.HCF of 391 and 207 =

Answer key

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

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