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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 292 · 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 120 and 136 =
  2. 2.HCF of 10 and 12 =
  3. 3.HCF of 308 and 110 =
  4. 4.HCF of 240 and 224 =
  5. 5.HCF of 180 and 165 =
  6. 6.HCF of 15 and 54 =
  7. 7.HCF of 63 and 119 =
  8. 8.HCF of 121 and 143 =
  9. 9.HCF of 10 and 95 =
  10. 10.HCF of 48 and 42 =
  11. 11.HCF of 30 and 55 =
  12. 12.HCF of 12 and 16 =
  13. 13.HCF of 110 and 60 =
  14. 14.HCF of 110 and 187 =
  15. 15.HCF of 128 and 48 =
  16. 16.HCF of 204 and 187 =
  17. 17.HCF of 105 and 294 =
  18. 18.HCF of 36 and 135 =
  19. 19.HCF of 30 and 95 =
  20. 20.HCF of 165 and 209 =
  21. 21.HCF of 209 and 44 =
  22. 22.HCF of 190 and 361 =
  23. 23.HCF of 209 and 342 =
  24. 24.HCF of 80 and 76 =
  25. 25.HCF of 196 and 70 =
  26. 26.HCF of 99 and 27 =
  27. 27.HCF of 12 and 102 =
  28. 28.HCF of 12 and 20 =
  29. 29.HCF of 42 and 91 =
  30. 30.HCF of 400 and 75 =
  31. 31.HCF of 36 and 48 =
  32. 32.HCF of 208 and 240 =
  33. 33.HCF of 126 and 154 =
  34. 34.HCF of 99 and 36 =
  35. 35.HCF of 260 and 143 =
  36. 36.HCF of 330 and 176 =
  37. 37.HCF of 247 and 323 =
  38. 38.HCF of 45 and 18 =
  39. 39.HCF of 36 and 168 =
  40. 40.HCF of 34 and 16 =

Answer key

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

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