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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 500 · 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 357 and 105 =
  2. 2.HCF of 65 and 35 =
  3. 3.HCF of 40 and 144 =
  4. 4.HCF of 400 and 125 =
  5. 5.HCF of 176 and 154 =
  6. 6.HCF of 56 and 119 =
  7. 7.HCF of 266 and 112 =
  8. 8.HCF of 288 and 162 =
  9. 9.HCF of 9 and 24 =
  10. 10.HCF of 70 and 180 =
  11. 11.HCF of 156 and 108 =
  12. 12.HCF of 60 and 18 =
  13. 13.HCF of 221 and 323 =
  14. 14.HCF of 90 and 48 =
  15. 15.HCF of 55 and 209 =
  16. 16.HCF of 84 and 231 =
  17. 17.HCF of 34 and 32 =
  18. 18.HCF of 152 and 160 =
  19. 19.HCF of 102 and 289 =
  20. 20.HCF of 190 and 57 =
  21. 21.HCF of 180 and 260 =
  22. 22.HCF of 42 and 35 =
  23. 23.HCF of 252 and 162 =
  24. 24.HCF of 36 and 40 =
  25. 25.HCF of 323 and 209 =
  26. 26.HCF of 256 and 240 =
  27. 27.HCF of 6 and 40 =
  28. 28.HCF of 10 and 75 =
  29. 29.HCF of 150 and 425 =
  30. 30.HCF of 176 and 32 =
  31. 31.HCF of 195 and 60 =
  32. 32.HCF of 50 and 125 =
  33. 33.HCF of 16 and 24 =
  34. 34.HCF of 30 and 285 =
  35. 35.HCF of 32 and 120 =
  36. 36.HCF of 220 and 187 =
  37. 37.HCF of 115 and 92 =
  38. 38.HCF of 275 and 350 =
  39. 39.HCF of 195 and 75 =
  40. 40.HCF of 12 and 9 =

Answer key

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

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