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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 776 · 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 357 and 231 =
  2. 2.HCF of 368 and 207 =
  3. 3.HCF of 126 and 273 =
  4. 4.HCF of 55 and 35 =
  5. 5.HCF of 224 and 176 =
  6. 6.HCF of 12 and 38 =
  7. 7.HCF of 374 and 418 =
  8. 8.HCF of 133 and 57 =
  9. 9.HCF of 135 and 126 =
  10. 10.HCF of 45 and 25 =
  11. 11.HCF of 400 and 340 =
  12. 12.HCF of 125 and 425 =
  13. 13.HCF of 52 and 195 =
  14. 14.HCF of 135 and 72 =
  15. 15.HCF of 55 and 154 =
  16. 16.HCF of 184 and 161 =
  17. 17.HCF of 320 and 48 =
  18. 18.HCF of 18 and 34 =
  19. 19.HCF of 34 and 323 =
  20. 20.HCF of 154 and 44 =
  21. 21.HCF of 30 and 9 =
  22. 22.HCF of 80 and 96 =
  23. 23.HCF of 114 and 120 =
  24. 24.HCF of 42 and 315 =
  25. 25.HCF of 114 and 72 =
  26. 26.HCF of 91 and 195 =
  27. 27.HCF of 112 and 98 =
  28. 28.HCF of 30 and 130 =
  29. 29.HCF of 208 and 195 =
  30. 30.HCF of 161 and 138 =
  31. 31.HCF of 325 and 50 =
  32. 32.HCF of 143 and 26 =
  33. 33.HCF of 456 and 408 =
  34. 34.HCF of 20 and 85 =
  35. 35.HCF of 48 and 56 =
  36. 36.HCF of 45 and 120 =
  37. 37.HCF of 350 and 125 =
  38. 38.HCF of 209 and 99 =
  39. 39.HCF of 30 and 114 =
  40. 40.HCF of 150 and 195 =

Answer key

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

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