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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 854 · 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 140 and 340 =
  2. 2.HCF of 198 and 374 =
  3. 3.HCF of 77 and 63 =
  4. 4.HCF of 169 and 104 =
  5. 5.HCF of 28 and 22 =
  6. 6.HCF of 45 and 285 =
  7. 7.HCF of 216 and 204 =
  8. 8.HCF of 25 and 80 =
  9. 9.HCF of 136 and 24 =
  10. 10.HCF of 44 and 12 =
  11. 11.HCF of 135 and 171 =
  12. 12.HCF of 153 and 272 =
  13. 13.HCF of 133 and 304 =
  14. 14.HCF of 286 and 220 =
  15. 15.HCF of 115 and 69 =
  16. 16.HCF of 95 and 20 =
  17. 17.HCF of 161 and 69 =
  18. 18.HCF of 39 and 48 =
  19. 19.HCF of 84 and 78 =
  20. 20.HCF of 95 and 90 =
  21. 21.HCF of 195 and 91 =
  22. 22.HCF of 147 and 273 =
  23. 23.HCF of 289 and 323 =
  24. 24.HCF of 375 and 350 =
  25. 25.HCF of 35 and 42 =
  26. 26.HCF of 30 and 26 =
  27. 27.HCF of 169 and 208 =
  28. 28.HCF of 234 and 36 =
  29. 29.HCF of 21 and 112 =
  30. 30.HCF of 192 and 304 =
  31. 31.HCF of 90 and 153 =
  32. 32.HCF of 88 and 136 =
  33. 33.HCF of 437 and 184 =
  34. 34.HCF of 48 and 360 =
  35. 35.HCF of 91 and 56 =
  36. 36.HCF of 121 and 187 =
  37. 37.HCF of 119 and 68 =
  38. 38.HCF of 378 and 357 =
  39. 39.HCF of 136 and 85 =
  40. 40.HCF of 330 and 154 =

Answer key

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

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