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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 358 · 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 357 and 294 =
  2. 2.HCF of 24 and 38 =
  3. 3.HCF of 88 and 152 =
  4. 4.HCF of 40 and 90 =
  5. 5.HCF of 238 and 85 =
  6. 6.HCF of 187 and 255 =
  7. 7.HCF of 75 and 275 =
  8. 8.HCF of 340 and 187 =
  9. 9.HCF of 14 and 12 =
  10. 10.HCF of 80 and 50 =
  11. 11.HCF of 14 and 35 =
  12. 12.HCF of 204 and 84 =
  13. 13.HCF of 26 and 169 =
  14. 14.HCF of 112 and 77 =
  15. 15.HCF of 190 and 60 =
  16. 16.HCF of 63 and 336 =
  17. 17.HCF of 90 and 108 =
  18. 18.HCF of 40 and 56 =
  19. 19.HCF of 200 and 75 =
  20. 20.HCF of 20 and 150 =
  21. 21.HCF of 340 and 300 =
  22. 22.HCF of 40 and 55 =
  23. 23.HCF of 270 and 36 =
  24. 24.HCF of 160 and 110 =
  25. 25.HCF of 180 and 153 =
  26. 26.HCF of 238 and 85 =
  27. 27.HCF of 152 and 40 =
  28. 28.HCF of 96 and 456 =
  29. 29.HCF of 76 and 36 =
  30. 30.HCF of 361 and 323 =
  31. 31.HCF of 33 and 24 =
  32. 32.HCF of 175 and 450 =
  33. 33.HCF of 198 and 242 =
  34. 34.HCF of 253 and 276 =
  35. 35.HCF of 187 and 110 =
  36. 36.HCF of 42 and 36 =
  37. 37.HCF of 208 and 247 =
  38. 38.HCF of 12 and 51 =
  39. 39.HCF of 35 and 25 =
  40. 40.HCF of 361 and 323 =

Answer key

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

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