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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 214 · 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 162 and 63 =
  2. 2.HCF of 36 and 96 =
  3. 3.HCF of 27 and 6 =
  4. 4.HCF of 380 and 140 =
  5. 5.HCF of 95 and 57 =
  6. 6.HCF of 26 and 30 =
  7. 7.HCF of 154 and 88 =
  8. 8.HCF of 220 and 154 =
  9. 9.HCF of 50 and 70 =
  10. 10.HCF of 26 and 143 =
  11. 11.HCF of 72 and 60 =
  12. 12.HCF of 198 and 220 =
  13. 13.HCF of 4 and 26 =
  14. 14.HCF of 40 and 16 =
  15. 15.HCF of 78 and 143 =
  16. 16.HCF of 153 and 63 =
  17. 17.HCF of 450 and 125 =
  18. 18.HCF of 99 and 22 =
  19. 19.HCF of 112 and 49 =
  20. 20.HCF of 75 and 475 =
  21. 21.HCF of 288 and 198 =
  22. 22.HCF of 33 and 44 =
  23. 23.HCF of 152 and 40 =
  24. 24.HCF of 400 and 275 =
  25. 25.HCF of 325 and 50 =
  26. 26.HCF of 48 and 30 =
  27. 27.HCF of 15 and 9 =
  28. 28.HCF of 234 and 247 =
  29. 29.HCF of 253 and 460 =
  30. 30.HCF of 40 and 14 =
  31. 31.HCF of 240 and 312 =
  32. 32.HCF of 104 and 143 =
  33. 33.HCF of 36 and 33 =
  34. 34.HCF of 380 and 180 =
  35. 35.HCF of 24 and 14 =
  36. 36.HCF of 102 and 187 =
  37. 37.HCF of 264 and 312 =
  38. 38.HCF of 289 and 153 =
  39. 39.HCF of 20 and 35 =
  40. 40.HCF of 12 and 80 =

Answer key

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

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