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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 753 · 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 182 and 140 =
  2. 2.HCF of 135 and 285 =
  3. 3.HCF of 42 and 72 =
  4. 4.HCF of 300 and 105 =
  5. 5.HCF of 95 and 15 =
  6. 6.HCF of 40 and 45 =
  7. 7.HCF of 285 and 76 =
  8. 8.HCF of 10 and 26 =
  9. 9.HCF of 15 and 10 =
  10. 10.HCF of 14 and 36 =
  11. 11.HCF of 128 and 208 =
  12. 12.HCF of 207 and 437 =
  13. 13.HCF of 80 and 180 =
  14. 14.HCF of 225 and 210 =
  15. 15.HCF of 28 and 52 =
  16. 16.HCF of 152 and 133 =
  17. 17.HCF of 60 and 110 =
  18. 18.HCF of 399 and 252 =
  19. 19.HCF of 168 and 312 =
  20. 20.HCF of 65 and 208 =
  21. 21.HCF of 60 and 380 =
  22. 22.HCF of 76 and 133 =
  23. 23.HCF of 36 and 30 =
  24. 24.HCF of 225 and 120 =
  25. 25.HCF of 100 and 425 =
  26. 26.HCF of 35 and 40 =
  27. 27.HCF of 77 and 84 =
  28. 28.HCF of 48 and 204 =
  29. 29.HCF of 180 and 84 =
  30. 30.HCF of 143 and 156 =
  31. 31.HCF of 4 and 38 =
  32. 32.HCF of 6 and 57 =
  33. 33.HCF of 304 and 247 =
  34. 34.HCF of 77 and 56 =
  35. 35.HCF of 88 and 56 =
  36. 36.HCF of 9 and 6 =
  37. 37.HCF of 96 and 168 =
  38. 38.HCF of 66 and 418 =
  39. 39.HCF of 238 and 153 =
  40. 40.HCF of 216 and 480 =

Answer key

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

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