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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 563 · 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 273 and 357 =
  2. 2.HCF of 32 and 56 =
  3. 3.HCF of 207 and 299 =
  4. 4.HCF of 55 and 33 =
  5. 5.HCF of 161 and 414 =
  6. 6.HCF of 60 and 9 =
  7. 7.HCF of 84 and 98 =
  8. 8.HCF of 323 and 272 =
  9. 9.HCF of 90 and 50 =
  10. 10.HCF of 247 and 38 =
  11. 11.HCF of 98 and 42 =
  12. 12.HCF of 361 and 133 =
  13. 13.HCF of 60 and 168 =
  14. 14.HCF of 225 and 275 =
  15. 15.HCF of 165 and 121 =
  16. 16.HCF of 320 and 100 =
  17. 17.HCF of 437 and 322 =
  18. 18.HCF of 35 and 112 =
  19. 19.HCF of 66 and 18 =
  20. 20.HCF of 36 and 135 =
  21. 21.HCF of 153 and 171 =
  22. 22.HCF of 160 and 50 =
  23. 23.HCF of 40 and 48 =
  24. 24.HCF of 39 and 60 =
  25. 25.HCF of 120 and 408 =
  26. 26.HCF of 204 and 132 =
  27. 27.HCF of 160 and 150 =
  28. 28.HCF of 135 and 285 =
  29. 29.HCF of 342 and 90 =
  30. 30.HCF of 140 and 130 =
  31. 31.HCF of 30 and 33 =
  32. 32.HCF of 78 and 48 =
  33. 33.HCF of 104 and 80 =
  34. 34.HCF of 144 and 152 =
  35. 35.HCF of 45 and 20 =
  36. 36.HCF of 42 and 224 =
  37. 37.HCF of 6 and 51 =
  38. 38.HCF of 95 and 342 =
  39. 39.HCF of 138 and 115 =
  40. 40.HCF of 24 and 22 =

Answer key

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

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