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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 902 · 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 36 and 228 =
  2. 2.HCF of 60 and 48 =
  3. 3.HCF of 16 and 26 =
  4. 4.HCF of 40 and 130 =
  5. 5.HCF of 208 and 247 =
  6. 6.HCF of 132 and 36 =
  7. 7.HCF of 126 and 357 =
  8. 8.HCF of 80 and 28 =
  9. 9.HCF of 44 and 80 =
  10. 10.HCF of 275 and 175 =
  11. 11.HCF of 20 and 38 =
  12. 12.HCF of 192 and 208 =
  13. 13.HCF of 209 and 176 =
  14. 14.HCF of 88 and 56 =
  15. 15.HCF of 420 and 189 =
  16. 16.HCF of 380 and 220 =
  17. 17.HCF of 63 and 135 =
  18. 18.HCF of 24 and 21 =
  19. 19.HCF of 21 and 12 =
  20. 20.HCF of 78 and 12 =
  21. 21.HCF of 152 and 95 =
  22. 22.HCF of 209 and 190 =
  23. 23.HCF of 30 and 45 =
  24. 24.HCF of 126 and 90 =
  25. 25.HCF of 192 and 408 =
  26. 26.HCF of 64 and 72 =
  27. 27.HCF of 209 and 88 =
  28. 28.HCF of 28 and 126 =
  29. 29.HCF of 80 and 12 =
  30. 30.HCF of 132 and 77 =
  31. 31.HCF of 143 and 88 =
  32. 32.HCF of 320 and 304 =
  33. 33.HCF of 336 and 360 =
  34. 34.HCF of 357 and 399 =
  35. 35.HCF of 162 and 234 =
  36. 36.HCF of 84 and 77 =
  37. 37.HCF of 65 and 78 =
  38. 38.HCF of 152 and 247 =
  39. 39.HCF of 100 and 125 =
  40. 40.HCF of 224 and 176 =

Answer key

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

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