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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 983 · 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 391 and 207 =
  2. 2.HCF of 368 and 69 =
  3. 3.HCF of 152 and 323 =
  4. 4.HCF of 357 and 315 =
  5. 5.HCF of 70 and 119 =
  6. 6.HCF of 57 and 133 =
  7. 7.HCF of 20 and 16 =
  8. 8.HCF of 75 and 325 =
  9. 9.HCF of 36 and 39 =
  10. 10.HCF of 42 and 154 =
  11. 11.HCF of 187 and 22 =
  12. 12.HCF of 192 and 176 =
  13. 13.HCF of 42 and 35 =
  14. 14.HCF of 121 and 110 =
  15. 15.HCF of 15 and 57 =
  16. 16.HCF of 135 and 60 =
  17. 17.HCF of 72 and 48 =
  18. 18.HCF of 280 and 154 =
  19. 19.HCF of 247 and 234 =
  20. 20.HCF of 39 and 104 =
  21. 21.HCF of 48 and 60 =
  22. 22.HCF of 84 and 180 =
  23. 23.HCF of 187 and 170 =
  24. 24.HCF of 44 and 40 =
  25. 25.HCF of 85 and 75 =
  26. 26.HCF of 50 and 275 =
  27. 27.HCF of 60 and 8 =
  28. 28.HCF of 8 and 6 =
  29. 29.HCF of 120 and 128 =
  30. 30.HCF of 30 and 195 =
  31. 31.HCF of 52 and 32 =
  32. 32.HCF of 391 and 437 =
  33. 33.HCF of 126 and 270 =
  34. 34.HCF of 299 and 437 =
  35. 35.HCF of 475 and 200 =
  36. 36.HCF of 90 and 81 =
  37. 37.HCF of 112 and 63 =
  38. 38.HCF of 190 and 70 =
  39. 39.HCF of 72 and 312 =
  40. 40.HCF of 182 and 39 =

Answer key

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

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