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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 274 · 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 112 and 98 =
  2. 2.HCF of 10 and 6 =
  3. 3.HCF of 81 and 18 =
  4. 4.HCF of 45 and 57 =
  5. 5.HCF of 162 and 63 =
  6. 6.HCF of 128 and 144 =
  7. 7.HCF of 9 and 21 =
  8. 8.HCF of 180 and 126 =
  9. 9.HCF of 48 and 204 =
  10. 10.HCF of 198 and 242 =
  11. 11.HCF of 414 and 161 =
  12. 12.HCF of 42 and 56 =
  13. 13.HCF of 169 and 91 =
  14. 14.HCF of 110 and 198 =
  15. 15.HCF of 204 and 323 =
  16. 16.HCF of 99 and 44 =
  17. 17.HCF of 150 and 110 =
  18. 18.HCF of 98 and 154 =
  19. 19.HCF of 165 and 240 =
  20. 20.HCF of 100 and 60 =
  21. 21.HCF of 357 and 105 =
  22. 22.HCF of 80 and 110 =
  23. 23.HCF of 153 and 171 =
  24. 24.HCF of 92 and 161 =
  25. 25.HCF of 207 and 115 =
  26. 26.HCF of 54 and 51 =
  27. 27.HCF of 52 and 247 =
  28. 28.HCF of 152 and 56 =
  29. 29.HCF of 126 and 105 =
  30. 30.HCF of 361 and 76 =
  31. 31.HCF of 247 and 114 =
  32. 32.HCF of 112 and 176 =
  33. 33.HCF of 437 and 115 =
  34. 34.HCF of 330 and 286 =
  35. 35.HCF of 143 and 78 =
  36. 36.HCF of 15 and 18 =
  37. 37.HCF of 30 and 48 =
  38. 38.HCF of 45 and 54 =
  39. 39.HCF of 68 and 187 =
  40. 40.HCF of 42 and 9 =

Answer key

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

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