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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 397 · 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 162 and 342 =
  2. 2.HCF of 374 and 198 =
  3. 3.HCF of 34 and 4 =
  4. 4.HCF of 16 and 60 =
  5. 5.HCF of 187 and 66 =
  6. 6.HCF of 154 and 110 =
  7. 7.HCF of 33 and 45 =
  8. 8.HCF of 60 and 96 =
  9. 9.HCF of 44 and 242 =
  10. 10.HCF of 414 and 437 =
  11. 11.HCF of 57 and 51 =
  12. 12.HCF of 64 and 20 =
  13. 13.HCF of 170 and 30 =
  14. 14.HCF of 95 and 40 =
  15. 15.HCF of 12 and 22 =
  16. 16.HCF of 75 and 20 =
  17. 17.HCF of 128 and 304 =
  18. 18.HCF of 190 and 209 =
  19. 19.HCF of 247 and 38 =
  20. 20.HCF of 221 and 65 =
  21. 21.HCF of 84 and 108 =
  22. 22.HCF of 342 and 247 =
  23. 23.HCF of 66 and 24 =
  24. 24.HCF of 63 and 14 =
  25. 25.HCF of 210 and 238 =
  26. 26.HCF of 128 and 144 =
  27. 27.HCF of 14 and 22 =
  28. 28.HCF of 160 and 70 =
  29. 29.HCF of 375 and 175 =
  30. 30.HCF of 98 and 154 =
  31. 31.HCF of 18 and 48 =
  32. 32.HCF of 190 and 180 =
  33. 33.HCF of 190 and 200 =
  34. 34.HCF of 54 and 198 =
  35. 35.HCF of 221 and 156 =
  36. 36.HCF of 70 and 25 =
  37. 37.HCF of 285 and 133 =
  38. 38.HCF of 136 and 40 =
  39. 39.HCF of 119 and 153 =
  40. 40.HCF of 78 and 91 =

Answer key

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

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