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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 482 · 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 336 and 63 =
  2. 2.HCF of 117 and 45 =
  3. 3.HCF of 152 and 128 =
  4. 4.HCF of 12 and 66 =
  5. 5.HCF of 78 and 66 =
  6. 6.HCF of 400 and 375 =
  7. 7.HCF of 8 and 30 =
  8. 8.HCF of 64 and 152 =
  9. 9.HCF of 220 and 33 =
  10. 10.HCF of 240 and 112 =
  11. 11.HCF of 100 and 60 =
  12. 12.HCF of 368 and 299 =
  13. 13.HCF of 28 and 34 =
  14. 14.HCF of 104 and 32 =
  15. 15.HCF of 18 and 42 =
  16. 16.HCF of 162 and 288 =
  17. 17.HCF of 280 and 220 =
  18. 18.HCF of 276 and 299 =
  19. 19.HCF of 55 and 143 =
  20. 20.HCF of 14 and 40 =
  21. 21.HCF of 44 and 8 =
  22. 22.HCF of 247 and 285 =
  23. 23.HCF of 36 and 45 =
  24. 24.HCF of 320 and 300 =
  25. 25.HCF of 28 and 48 =
  26. 26.HCF of 90 and 171 =
  27. 27.HCF of 175 and 75 =
  28. 28.HCF of 408 and 336 =
  29. 29.HCF of 54 and 96 =
  30. 30.HCF of 84 and 90 =
  31. 31.HCF of 192 and 84 =
  32. 32.HCF of 133 and 304 =
  33. 33.HCF of 108 and 198 =
  34. 34.HCF of 70 and 170 =
  35. 35.HCF of 330 and 374 =
  36. 36.HCF of 76 and 32 =
  37. 37.HCF of 10 and 45 =
  38. 38.HCF of 45 and 75 =
  39. 39.HCF of 99 and 121 =
  40. 40.HCF of 171 and 153 =

Answer key

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

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