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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 181 · 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 14 and 6 =
  2. 2.HCF of 126 and 35 =
  3. 3.HCF of 54 and 126 =
  4. 4.HCF of 140 and 110 =
  5. 5.HCF of 126 and 144 =
  6. 6.HCF of 42 and 18 =
  7. 7.HCF of 76 and 72 =
  8. 8.HCF of 143 and 156 =
  9. 9.HCF of 14 and 49 =
  10. 10.HCF of 90 and 162 =
  11. 11.HCF of 76 and 133 =
  12. 12.HCF of 30 and 42 =
  13. 13.HCF of 21 and 70 =
  14. 14.HCF of 40 and 180 =
  15. 15.HCF of 52 and 28 =
  16. 16.HCF of 255 and 150 =
  17. 17.HCF of 340 and 400 =
  18. 18.HCF of 63 and 231 =
  19. 19.HCF of 18 and 84 =
  20. 20.HCF of 24 and 78 =
  21. 21.HCF of 119 and 102 =
  22. 22.HCF of 42 and 35 =
  23. 23.HCF of 115 and 437 =
  24. 24.HCF of 266 and 247 =
  25. 25.HCF of 35 and 112 =
  26. 26.HCF of 225 and 195 =
  27. 27.HCF of 55 and 75 =
  28. 28.HCF of 12 and 42 =
  29. 29.HCF of 187 and 22 =
  30. 30.HCF of 374 and 352 =
  31. 31.HCF of 90 and 162 =
  32. 32.HCF of 36 and 52 =
  33. 33.HCF of 63 and 90 =
  34. 34.HCF of 32 and 72 =
  35. 35.HCF of 10 and 12 =
  36. 36.HCF of 12 and 8 =
  37. 37.HCF of 160 and 140 =
  38. 38.HCF of 119 and 153 =
  39. 39.HCF of 110 and 44 =
  40. 40.HCF of 33 and 36 =

Answer key

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

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