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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 644 · 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 28 and 52 =
  2. 2.HCF of 169 and 221 =
  3. 3.HCF of 143 and 121 =
  4. 4.HCF of 120 and 114 =
  5. 5.HCF of 8 and 14 =
  6. 6.HCF of 162 and 171 =
  7. 7.HCF of 21 and 6 =
  8. 8.HCF of 77 and 187 =
  9. 9.HCF of 56 and 88 =
  10. 10.HCF of 108 and 306 =
  11. 11.HCF of 168 and 120 =
  12. 12.HCF of 70 and 63 =
  13. 13.HCF of 30 and 55 =
  14. 14.HCF of 272 and 304 =
  15. 15.HCF of 198 and 209 =
  16. 16.HCF of 325 and 475 =
  17. 17.HCF of 170 and 30 =
  18. 18.HCF of 260 and 360 =
  19. 19.HCF of 119 and 126 =
  20. 20.HCF of 285 and 225 =
  21. 21.HCF of 52 and 68 =
  22. 22.HCF of 192 and 264 =
  23. 23.HCF of 60 and 135 =
  24. 24.HCF of 304 and 208 =
  25. 25.HCF of 304 and 48 =
  26. 26.HCF of 112 and 35 =
  27. 27.HCF of 110 and 150 =
  28. 28.HCF of 374 and 176 =
  29. 29.HCF of 49 and 21 =
  30. 30.HCF of 40 and 44 =
  31. 31.HCF of 110 and 70 =
  32. 32.HCF of 99 and 162 =
  33. 33.HCF of 161 and 299 =
  34. 34.HCF of 180 and 380 =
  35. 35.HCF of 21 and 91 =
  36. 36.HCF of 26 and 143 =
  37. 37.HCF of 143 and 99 =
  38. 38.HCF of 117 and 247 =
  39. 39.HCF of 77 and 42 =
  40. 40.HCF of 147 and 252 =

Answer key

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

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