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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 91 · 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 252 =
  2. 2.HCF of 54 and 126 =
  3. 3.HCF of 418 and 440 =
  4. 4.HCF of 198 and 88 =
  5. 5.HCF of 90 and 342 =
  6. 6.HCF of 260 and 360 =
  7. 7.HCF of 306 and 126 =
  8. 8.HCF of 160 and 176 =
  9. 9.HCF of 84 and 98 =
  10. 10.HCF of 70 and 85 =
  11. 11.HCF of 57 and 45 =
  12. 12.HCF of 221 and 169 =
  13. 13.HCF of 85 and 153 =
  14. 14.HCF of 378 and 147 =
  15. 15.HCF of 345 and 437 =
  16. 16.HCF of 16 and 24 =
  17. 17.HCF of 72 and 192 =
  18. 18.HCF of 125 and 350 =
  19. 19.HCF of 40 and 104 =
  20. 20.HCF of 196 and 210 =
  21. 21.HCF of 242 and 110 =
  22. 22.HCF of 66 and 24 =
  23. 23.HCF of 153 and 180 =
  24. 24.HCF of 400 and 220 =
  25. 25.HCF of 99 and 44 =
  26. 26.HCF of 52 and 8 =
  27. 27.HCF of 40 and 65 =
  28. 28.HCF of 171 and 95 =
  29. 29.HCF of 96 and 88 =
  30. 30.HCF of 240 and 255 =
  31. 31.HCF of 176 and 112 =
  32. 32.HCF of 20 and 18 =
  33. 33.HCF of 286 and 110 =
  34. 34.HCF of 72 and 54 =
  35. 35.HCF of 45 and 195 =
  36. 36.HCF of 323 and 85 =
  37. 37.HCF of 196 and 266 =
  38. 38.HCF of 225 and 120 =
  39. 39.HCF of 105 and 273 =
  40. 40.HCF of 135 and 144 =

Answer key

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

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