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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 957 · 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 63 and 168 =
  2. 2.HCF of 306 and 180 =
  3. 3.HCF of 18 and 34 =
  4. 4.HCF of 56 and 119 =
  5. 5.HCF of 56 and 238 =
  6. 6.HCF of 57 and 304 =
  7. 7.HCF of 65 and 85 =
  8. 8.HCF of 253 and 368 =
  9. 9.HCF of 475 and 225 =
  10. 10.HCF of 15 and 50 =
  11. 11.HCF of 126 and 273 =
  12. 12.HCF of 322 and 69 =
  13. 13.HCF of 323 and 209 =
  14. 14.HCF of 77 and 35 =
  15. 15.HCF of 200 and 275 =
  16. 16.HCF of 33 and 54 =
  17. 17.HCF of 12 and 16 =
  18. 18.HCF of 68 and 40 =
  19. 19.HCF of 110 and 66 =
  20. 20.HCF of 110 and 264 =
  21. 21.HCF of 112 and 240 =
  22. 22.HCF of 231 and 189 =
  23. 23.HCF of 99 and 135 =
  24. 24.HCF of 96 and 360 =
  25. 25.HCF of 57 and 51 =
  26. 26.HCF of 28 and 34 =
  27. 27.HCF of 240 and 36 =
  28. 28.HCF of 153 and 27 =
  29. 29.HCF of 70 and 49 =
  30. 30.HCF of 153 and 45 =
  31. 31.HCF of 35 and 42 =
  32. 32.HCF of 49 and 105 =
  33. 33.HCF of 460 and 437 =
  34. 34.HCF of 28 and 49 =
  35. 35.HCF of 294 and 357 =
  36. 36.HCF of 135 and 210 =
  37. 37.HCF of 20 and 56 =
  38. 38.HCF of 140 and 21 =
  39. 39.HCF of 35 and 14 =
  40. 40.HCF of 220 and 80 =

Answer key

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

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