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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 744 · 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 276 and 253 =
  2. 2.HCF of 64 and 152 =
  3. 3.HCF of 253 and 460 =
  4. 4.HCF of 68 and 289 =
  5. 5.HCF of 50 and 75 =
  6. 6.HCF of 210 and 63 =
  7. 7.HCF of 225 and 255 =
  8. 8.HCF of 104 and 160 =
  9. 9.HCF of 325 and 425 =
  10. 10.HCF of 180 and 190 =
  11. 11.HCF of 221 and 234 =
  12. 12.HCF of 128 and 136 =
  13. 13.HCF of 195 and 150 =
  14. 14.HCF of 44 and 187 =
  15. 15.HCF of 210 and 266 =
  16. 16.HCF of 30 and 18 =
  17. 17.HCF of 120 and 112 =
  18. 18.HCF of 288 and 90 =
  19. 19.HCF of 56 and 68 =
  20. 20.HCF of 475 and 200 =
  21. 21.HCF of 91 and 119 =
  22. 22.HCF of 95 and 85 =
  23. 23.HCF of 90 and 65 =
  24. 24.HCF of 110 and 374 =
  25. 25.HCF of 55 and 90 =
  26. 26.HCF of 360 and 48 =
  27. 27.HCF of 110 and 90 =
  28. 28.HCF of 18 and 33 =
  29. 29.HCF of 100 and 360 =
  30. 30.HCF of 231 and 294 =
  31. 31.HCF of 180 and 200 =
  32. 32.HCF of 39 and 48 =
  33. 33.HCF of 45 and 10 =
  34. 34.HCF of 32 and 26 =
  35. 35.HCF of 104 and 40 =
  36. 36.HCF of 275 and 100 =
  37. 37.HCF of 10 and 75 =
  38. 38.HCF of 28 and 80 =
  39. 39.HCF of 12 and 51 =
  40. 40.HCF of 96 and 60 =

Answer key

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

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