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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 694 · 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 32 and 28 =
  2. 2.HCF of 99 and 45 =
  3. 3.HCF of 182 and 39 =
  4. 4.HCF of 8 and 6 =
  5. 5.HCF of 456 and 360 =
  6. 6.HCF of 48 and 76 =
  7. 7.HCF of 38 and 30 =
  8. 8.HCF of 98 and 126 =
  9. 9.HCF of 228 and 216 =
  10. 10.HCF of 176 and 198 =
  11. 11.HCF of 195 and 26 =
  12. 12.HCF of 125 and 400 =
  13. 13.HCF of 143 and 44 =
  14. 14.HCF of 234 and 90 =
  15. 15.HCF of 30 and 102 =
  16. 16.HCF of 125 and 450 =
  17. 17.HCF of 77 and 187 =
  18. 18.HCF of 100 and 75 =
  19. 19.HCF of 456 and 480 =
  20. 20.HCF of 288 and 234 =
  21. 21.HCF of 34 and 16 =
  22. 22.HCF of 91 and 14 =
  23. 23.HCF of 323 and 51 =
  24. 24.HCF of 34 and 255 =
  25. 25.HCF of 90 and 130 =
  26. 26.HCF of 14 and 20 =
  27. 27.HCF of 20 and 190 =
  28. 28.HCF of 220 and 77 =
  29. 29.HCF of 88 and 16 =
  30. 30.HCF of 69 and 299 =
  31. 31.HCF of 253 and 69 =
  32. 32.HCF of 288 and 168 =
  33. 33.HCF of 72 and 78 =
  34. 34.HCF of 16 and 52 =
  35. 35.HCF of 78 and 66 =
  36. 36.HCF of 126 and 36 =
  37. 37.HCF of 272 and 153 =
  38. 38.HCF of 102 and 60 =
  39. 39.HCF of 60 and 45 =
  40. 40.HCF of 180 and 75 =

Answer key

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

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