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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 27 · 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 112 and 35 =
  2. 2.HCF of 115 and 322 =
  3. 3.HCF of 32 and 88 =
  4. 4.HCF of 320 and 48 =
  5. 5.HCF of 160 and 144 =
  6. 6.HCF of 189 and 105 =
  7. 7.HCF of 20 and 90 =
  8. 8.HCF of 273 and 315 =
  9. 9.HCF of 76 and 56 =
  10. 10.HCF of 391 and 115 =
  11. 11.HCF of 55 and 90 =
  12. 12.HCF of 48 and 304 =
  13. 13.HCF of 16 and 6 =
  14. 14.HCF of 140 and 100 =
  15. 15.HCF of 128 and 24 =
  16. 16.HCF of 76 and 44 =
  17. 17.HCF of 57 and 361 =
  18. 18.HCF of 207 and 230 =
  19. 19.HCF of 112 and 128 =
  20. 20.HCF of 55 and 45 =
  21. 21.HCF of 42 and 30 =
  22. 22.HCF of 171 and 76 =
  23. 23.HCF of 51 and 6 =
  24. 24.HCF of 90 and 66 =
  25. 25.HCF of 136 and 187 =
  26. 26.HCF of 176 and 96 =
  27. 27.HCF of 280 and 266 =
  28. 28.HCF of 400 and 475 =
  29. 29.HCF of 88 and 286 =
  30. 30.HCF of 112 and 91 =
  31. 31.HCF of 306 and 144 =
  32. 32.HCF of 187 and 121 =
  33. 33.HCF of 33 and 77 =
  34. 34.HCF of 38 and 12 =
  35. 35.HCF of 187 and 340 =
  36. 36.HCF of 66 and 12 =
  37. 37.HCF of 143 and 209 =
  38. 38.HCF of 77 and 33 =
  39. 39.HCF of 63 and 273 =
  40. 40.HCF of 90 and 24 =

Answer key

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

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