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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 496 · 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 136 and 40 =
  2. 2.HCF of 340 and 160 =
  3. 3.HCF of 52 and 56 =
  4. 4.HCF of 66 and 102 =
  5. 5.HCF of 289 and 68 =
  6. 6.HCF of 209 and 33 =
  7. 7.HCF of 280 and 260 =
  8. 8.HCF of 187 and 34 =
  9. 9.HCF of 187 and 99 =
  10. 10.HCF of 110 and 154 =
  11. 11.HCF of 12 and 76 =
  12. 12.HCF of 38 and 209 =
  13. 13.HCF of 78 and 54 =
  14. 14.HCF of 33 and 9 =
  15. 15.HCF of 216 and 192 =
  16. 16.HCF of 306 and 85 =
  17. 17.HCF of 420 and 399 =
  18. 18.HCF of 34 and 255 =
  19. 19.HCF of 90 and 99 =
  20. 20.HCF of 18 and 42 =
  21. 21.HCF of 152 and 56 =
  22. 22.HCF of 143 and 26 =
  23. 23.HCF of 384 and 456 =
  24. 24.HCF of 195 and 105 =
  25. 25.HCF of 55 and 22 =
  26. 26.HCF of 75 and 285 =
  27. 27.HCF of 15 and 80 =
  28. 28.HCF of 198 and 143 =
  29. 29.HCF of 48 and 66 =
  30. 30.HCF of 77 and 42 =
  31. 31.HCF of 78 and 36 =
  32. 32.HCF of 300 and 105 =
  33. 33.HCF of 18 and 78 =
  34. 34.HCF of 182 and 65 =
  35. 35.HCF of 192 and 216 =
  36. 36.HCF of 65 and 104 =
  37. 37.HCF of 65 and 20 =
  38. 38.HCF of 40 and 95 =
  39. 39.HCF of 169 and 260 =
  40. 40.HCF of 110 and 308 =

Answer key

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

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