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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 592 · 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 112 and 128 =
  2. 2.HCF of 152 and 32 =
  3. 3.HCF of 49 and 126 =
  4. 4.HCF of 48 and 272 =
  5. 5.HCF of 27 and 117 =
  6. 6.HCF of 264 and 242 =
  7. 7.HCF of 135 and 120 =
  8. 8.HCF of 323 and 304 =
  9. 9.HCF of 180 and 192 =
  10. 10.HCF of 208 and 91 =
  11. 11.HCF of 16 and 76 =
  12. 12.HCF of 50 and 175 =
  13. 13.HCF of 252 and 154 =
  14. 14.HCF of 77 and 121 =
  15. 15.HCF of 182 and 98 =
  16. 16.HCF of 6 and 27 =
  17. 17.HCF of 240 and 216 =
  18. 18.HCF of 91 and 112 =
  19. 19.HCF of 140 and 30 =
  20. 20.HCF of 78 and 24 =
  21. 21.HCF of 216 and 90 =
  22. 22.HCF of 112 and 21 =
  23. 23.HCF of 60 and 44 =
  24. 24.HCF of 240 and 45 =
  25. 25.HCF of 30 and 24 =
  26. 26.HCF of 36 and 168 =
  27. 27.HCF of 18 and 40 =
  28. 28.HCF of 75 and 240 =
  29. 29.HCF of 110 and 132 =
  30. 30.HCF of 57 and 15 =
  31. 31.HCF of 361 and 38 =
  32. 32.HCF of 143 and 221 =
  33. 33.HCF of 195 and 210 =
  34. 34.HCF of 60 and 21 =
  35. 35.HCF of 432 and 312 =
  36. 36.HCF of 289 and 323 =
  37. 37.HCF of 320 and 304 =
  38. 38.HCF of 88 and 24 =
  39. 39.HCF of 57 and 60 =
  40. 40.HCF of 110 and 88 =

Answer key

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

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