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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 200 · 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 144 and 160 =
  2. 2.HCF of 77 and 33 =
  3. 3.HCF of 48 and 156 =
  4. 4.HCF of 98 and 35 =
  5. 5.HCF of 45 and 40 =
  6. 6.HCF of 180 and 75 =
  7. 7.HCF of 56 and 144 =
  8. 8.HCF of 110 and 20 =
  9. 9.HCF of 399 and 294 =
  10. 10.HCF of 350 and 125 =
  11. 11.HCF of 169 and 247 =
  12. 12.HCF of 255 and 272 =
  13. 13.HCF of 330 and 44 =
  14. 14.HCF of 32 and 12 =
  15. 15.HCF of 99 and 110 =
  16. 16.HCF of 224 and 126 =
  17. 17.HCF of 36 and 60 =
  18. 18.HCF of 105 and 119 =
  19. 19.HCF of 275 and 50 =
  20. 20.HCF of 114 and 60 =
  21. 21.HCF of 77 and 119 =
  22. 22.HCF of 99 and 45 =
  23. 23.HCF of 273 and 147 =
  24. 24.HCF of 162 and 288 =
  25. 25.HCF of 35 and 100 =
  26. 26.HCF of 216 and 192 =
  27. 27.HCF of 52 and 48 =
  28. 28.HCF of 342 and 360 =
  29. 29.HCF of 30 and 84 =
  30. 30.HCF of 28 and 64 =
  31. 31.HCF of 63 and 273 =
  32. 32.HCF of 153 and 34 =
  33. 33.HCF of 112 and 21 =
  34. 34.HCF of 95 and 114 =
  35. 35.HCF of 75 and 275 =
  36. 36.HCF of 132 and 418 =
  37. 37.HCF of 128 and 80 =
  38. 38.HCF of 45 and 27 =
  39. 39.HCF of 143 and 169 =
  40. 40.HCF of 102 and 114 =

Answer key

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

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