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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 670 · 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 322 and 115 =
  2. 2.HCF of 44 and 16 =
  3. 3.HCF of 56 and 88 =
  4. 4.HCF of 200 and 190 =
  5. 5.HCF of 225 and 500 =
  6. 6.HCF of 72 and 78 =
  7. 7.HCF of 96 and 228 =
  8. 8.HCF of 99 and 54 =
  9. 9.HCF of 133 and 38 =
  10. 10.HCF of 98 and 77 =
  11. 11.HCF of 32 and 104 =
  12. 12.HCF of 357 and 252 =
  13. 13.HCF of 108 and 198 =
  14. 14.HCF of 12 and 51 =
  15. 15.HCF of 40 and 70 =
  16. 16.HCF of 108 and 114 =
  17. 17.HCF of 360 and 168 =
  18. 18.HCF of 48 and 88 =
  19. 19.HCF of 96 and 80 =
  20. 20.HCF of 270 and 234 =
  21. 21.HCF of 288 and 54 =
  22. 22.HCF of 325 and 175 =
  23. 23.HCF of 342 and 270 =
  24. 24.HCF of 154 and 140 =
  25. 25.HCF of 132 and 36 =
  26. 26.HCF of 285 and 90 =
  27. 27.HCF of 162 and 63 =
  28. 28.HCF of 352 and 374 =
  29. 29.HCF of 75 and 105 =
  30. 30.HCF of 112 and 40 =
  31. 31.HCF of 100 and 95 =
  32. 32.HCF of 260 and 120 =
  33. 33.HCF of 65 and 156 =
  34. 34.HCF of 180 and 340 =
  35. 35.HCF of 238 and 84 =
  36. 36.HCF of 57 and 54 =
  37. 37.HCF of 75 and 45 =
  38. 38.HCF of 60 and 16 =
  39. 39.HCF of 300 and 165 =
  40. 40.HCF of 51 and 21 =

Answer key

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

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