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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 157 · 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 140 and 110 =
  2. 2.HCF of 418 and 330 =
  3. 3.HCF of 112 and 70 =
  4. 4.HCF of 114 and 95 =
  5. 5.HCF of 120 and 140 =
  6. 6.HCF of 380 and 80 =
  7. 7.HCF of 112 and 304 =
  8. 8.HCF of 119 and 133 =
  9. 9.HCF of 75 and 125 =
  10. 10.HCF of 96 and 18 =
  11. 11.HCF of 216 and 126 =
  12. 12.HCF of 102 and 323 =
  13. 13.HCF of 12 and 32 =
  14. 14.HCF of 154 and 238 =
  15. 15.HCF of 126 and 119 =
  16. 16.HCF of 238 and 84 =
  17. 17.HCF of 90 and 165 =
  18. 18.HCF of 30 and 195 =
  19. 19.HCF of 63 and 18 =
  20. 20.HCF of 133 and 38 =
  21. 21.HCF of 121 and 44 =
  22. 22.HCF of 24 and 9 =
  23. 23.HCF of 80 and 35 =
  24. 24.HCF of 209 and 228 =
  25. 25.HCF of 104 and 40 =
  26. 26.HCF of 104 and 72 =
  27. 27.HCF of 52 and 68 =
  28. 28.HCF of 460 and 437 =
  29. 29.HCF of 176 and 240 =
  30. 30.HCF of 80 and 104 =
  31. 31.HCF of 161 and 184 =
  32. 32.HCF of 38 and 95 =
  33. 33.HCF of 42 and 18 =
  34. 34.HCF of 77 and 133 =
  35. 35.HCF of 56 and 49 =
  36. 36.HCF of 140 and 63 =
  37. 37.HCF of 384 and 120 =
  38. 38.HCF of 76 and 56 =
  39. 39.HCF of 45 and 81 =
  40. 40.HCF of 195 and 240 =

Answer key

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

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