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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 158 · 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 78 and 66 =
  2. 2.HCF of 6 and 57 =
  3. 3.HCF of 357 and 147 =
  4. 4.HCF of 12 and 78 =
  5. 5.HCF of 270 and 198 =
  6. 6.HCF of 252 and 342 =
  7. 7.HCF of 125 and 100 =
  8. 8.HCF of 288 and 304 =
  9. 9.HCF of 380 and 220 =
  10. 10.HCF of 80 and 68 =
  11. 11.HCF of 105 and 91 =
  12. 12.HCF of 55 and 15 =
  13. 13.HCF of 187 and 176 =
  14. 14.HCF of 140 and 220 =
  15. 15.HCF of 342 and 133 =
  16. 16.HCF of 225 and 255 =
  17. 17.HCF of 14 and 35 =
  18. 18.HCF of 24 and 36 =
  19. 19.HCF of 117 and 162 =
  20. 20.HCF of 15 and 80 =
  21. 21.HCF of 65 and 100 =
  22. 22.HCF of 275 and 200 =
  23. 23.HCF of 221 and 136 =
  24. 24.HCF of 312 and 360 =
  25. 25.HCF of 24 and 40 =
  26. 26.HCF of 8 and 6 =
  27. 27.HCF of 432 and 120 =
  28. 28.HCF of 110 and 100 =
  29. 29.HCF of 42 and 78 =
  30. 30.HCF of 125 and 400 =
  31. 31.HCF of 88 and 112 =
  32. 32.HCF of 133 and 171 =
  33. 33.HCF of 120 and 456 =
  34. 34.HCF of 45 and 195 =
  35. 35.HCF of 266 and 95 =
  36. 36.HCF of 16 and 24 =
  37. 37.HCF of 44 and 60 =
  38. 38.HCF of 325 and 100 =
  39. 39.HCF of 24 and 80 =
  40. 40.HCF of 84 and 273 =

Answer key

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

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