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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 938 · 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 63 and 49 =
  2. 2.HCF of 40 and 16 =
  3. 3.HCF of 30 and 4 =
  4. 4.HCF of 80 and 144 =
  5. 5.HCF of 25 and 30 =
  6. 6.HCF of 90 and 50 =
  7. 7.HCF of 170 and 289 =
  8. 8.HCF of 255 and 75 =
  9. 9.HCF of 231 and 189 =
  10. 10.HCF of 357 and 420 =
  11. 11.HCF of 168 and 216 =
  12. 12.HCF of 208 and 160 =
  13. 13.HCF of 440 and 154 =
  14. 14.HCF of 136 and 85 =
  15. 15.HCF of 208 and 112 =
  16. 16.HCF of 35 and 14 =
  17. 17.HCF of 168 and 408 =
  18. 18.HCF of 280 and 260 =
  19. 19.HCF of 95 and 50 =
  20. 20.HCF of 66 and 286 =
  21. 21.HCF of 72 and 63 =
  22. 22.HCF of 110 and 30 =
  23. 23.HCF of 325 and 425 =
  24. 24.HCF of 253 and 391 =
  25. 25.HCF of 56 and 136 =
  26. 26.HCF of 12 and 10 =
  27. 27.HCF of 91 and 140 =
  28. 28.HCF of 340 and 380 =
  29. 29.HCF of 78 and 90 =
  30. 30.HCF of 117 and 260 =
  31. 31.HCF of 130 and 70 =
  32. 32.HCF of 247 and 152 =
  33. 33.HCF of 330 and 44 =
  34. 34.HCF of 42 and 12 =
  35. 35.HCF of 156 and 180 =
  36. 36.HCF of 130 and 40 =
  37. 37.HCF of 152 and 95 =
  38. 38.HCF of 273 and 231 =
  39. 39.HCF of 77 and 42 =
  40. 40.HCF of 161 and 115 =

Answer key

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

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