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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 111 · 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 272 and 119 =
  2. 2.HCF of 22 and 12 =
  3. 3.HCF of 198 and 252 =
  4. 4.HCF of 153 and 323 =
  5. 5.HCF of 60 and 195 =
  6. 6.HCF of 18 and 10 =
  7. 7.HCF of 54 and 96 =
  8. 8.HCF of 396 and 286 =
  9. 9.HCF of 100 and 85 =
  10. 10.HCF of 119 and 306 =
  11. 11.HCF of 266 and 95 =
  12. 12.HCF of 396 and 154 =
  13. 13.HCF of 102 and 48 =
  14. 14.HCF of 21 and 24 =
  15. 15.HCF of 44 and 76 =
  16. 16.HCF of 330 and 308 =
  17. 17.HCF of 77 and 209 =
  18. 18.HCF of 108 and 342 =
  19. 19.HCF of 234 and 144 =
  20. 20.HCF of 100 and 95 =
  21. 21.HCF of 273 and 399 =
  22. 22.HCF of 135 and 150 =
  23. 23.HCF of 128 and 208 =
  24. 24.HCF of 360 and 198 =
  25. 25.HCF of 45 and 55 =
  26. 26.HCF of 80 and 15 =
  27. 27.HCF of 40 and 180 =
  28. 28.HCF of 90 and 200 =
  29. 29.HCF of 350 and 125 =
  30. 30.HCF of 76 and 52 =
  31. 31.HCF of 72 and 270 =
  32. 32.HCF of 24 and 38 =
  33. 33.HCF of 136 and 24 =
  34. 34.HCF of 88 and 286 =
  35. 35.HCF of 280 and 380 =
  36. 36.HCF of 21 and 35 =
  37. 37.HCF of 99 and 44 =
  38. 38.HCF of 285 and 30 =
  39. 39.HCF of 136 and 221 =
  40. 40.HCF of 190 and 130 =

Answer key

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

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