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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 317 · 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 300 and 425 =
  2. 2.HCF of 22 and 38 =
  3. 3.HCF of 204 and 156 =
  4. 4.HCF of 45 and 60 =
  5. 5.HCF of 320 and 272 =
  6. 6.HCF of 126 and 154 =
  7. 7.HCF of 70 and 150 =
  8. 8.HCF of 161 and 207 =
  9. 9.HCF of 336 and 63 =
  10. 10.HCF of 260 and 120 =
  11. 11.HCF of 90 and 102 =
  12. 12.HCF of 270 and 195 =
  13. 13.HCF of 18 and 42 =
  14. 14.HCF of 340 and 140 =
  15. 15.HCF of 64 and 20 =
  16. 16.HCF of 231 and 147 =
  17. 17.HCF of 162 and 72 =
  18. 18.HCF of 168 and 108 =
  19. 19.HCF of 77 and 198 =
  20. 20.HCF of 110 and 80 =
  21. 21.HCF of 342 and 361 =
  22. 22.HCF of 54 and 66 =
  23. 23.HCF of 57 and 42 =
  24. 24.HCF of 136 and 152 =
  25. 25.HCF of 44 and 52 =
  26. 26.HCF of 77 and 132 =
  27. 27.HCF of 221 and 238 =
  28. 28.HCF of 15 and 25 =
  29. 29.HCF of 195 and 45 =
  30. 30.HCF of 234 and 247 =
  31. 31.HCF of 114 and 18 =
  32. 32.HCF of 24 and 152 =
  33. 33.HCF of 340 and 187 =
  34. 34.HCF of 14 and 32 =
  35. 35.HCF of 98 and 42 =
  36. 36.HCF of 288 and 234 =
  37. 37.HCF of 120 and 132 =
  38. 38.HCF of 169 and 52 =
  39. 39.HCF of 49 and 21 =
  40. 40.HCF of 48 and 204 =

Answer key

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

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