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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 54 · 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 143 and 77 =
  2. 2.HCF of 21 and 119 =
  3. 3.HCF of 153 and 45 =
  4. 4.HCF of 306 and 54 =
  5. 5.HCF of 36 and 34 =
  6. 6.HCF of 66 and 154 =
  7. 7.HCF of 121 and 88 =
  8. 8.HCF of 51 and 9 =
  9. 9.HCF of 275 and 425 =
  10. 10.HCF of 64 and 208 =
  11. 11.HCF of 6 and 27 =
  12. 12.HCF of 195 and 247 =
  13. 13.HCF of 84 and 102 =
  14. 14.HCF of 165 and 270 =
  15. 15.HCF of 152 and 128 =
  16. 16.HCF of 10 and 95 =
  17. 17.HCF of 221 and 51 =
  18. 18.HCF of 72 and 168 =
  19. 19.HCF of 130 and 150 =
  20. 20.HCF of 264 and 432 =
  21. 21.HCF of 38 and 133 =
  22. 22.HCF of 286 and 330 =
  23. 23.HCF of 40 and 64 =
  24. 24.HCF of 260 and 320 =
  25. 25.HCF of 209 and 22 =
  26. 26.HCF of 192 and 304 =
  27. 27.HCF of 30 and 75 =
  28. 28.HCF of 198 and 110 =
  29. 29.HCF of 153 and 85 =
  30. 30.HCF of 275 and 200 =
  31. 31.HCF of 200 and 130 =
  32. 32.HCF of 32 and 52 =
  33. 33.HCF of 500 and 475 =
  34. 34.HCF of 135 and 240 =
  35. 35.HCF of 14 and 20 =
  36. 36.HCF of 90 and 54 =
  37. 37.HCF of 72 and 136 =
  38. 38.HCF of 240 and 216 =
  39. 39.HCF of 85 and 55 =
  40. 40.HCF of 28 and 49 =

Answer key

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

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