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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 345 · 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 40 and 18 =
  2. 2.HCF of 22 and 165 =
  3. 3.HCF of 165 and 77 =
  4. 4.HCF of 96 and 88 =
  5. 5.HCF of 50 and 40 =
  6. 6.HCF of 375 and 200 =
  7. 7.HCF of 60 and 72 =
  8. 8.HCF of 18 and 51 =
  9. 9.HCF of 54 and 360 =
  10. 10.HCF of 153 and 180 =
  11. 11.HCF of 224 and 182 =
  12. 12.HCF of 44 and 33 =
  13. 13.HCF of 112 and 105 =
  14. 14.HCF of 36 and 24 =
  15. 15.HCF of 475 and 425 =
  16. 16.HCF of 75 and 80 =
  17. 17.HCF of 56 and 80 =
  18. 18.HCF of 130 and 170 =
  19. 19.HCF of 81 and 180 =
  20. 20.HCF of 168 and 189 =
  21. 21.HCF of 51 and 221 =
  22. 22.HCF of 35 and 85 =
  23. 23.HCF of 72 and 312 =
  24. 24.HCF of 120 and 312 =
  25. 25.HCF of 98 and 280 =
  26. 26.HCF of 119 and 340 =
  27. 27.HCF of 33 and 121 =
  28. 28.HCF of 88 and 99 =
  29. 29.HCF of 340 and 187 =
  30. 30.HCF of 253 and 161 =
  31. 31.HCF of 323 and 304 =
  32. 32.HCF of 160 and 176 =
  33. 33.HCF of 75 and 30 =
  34. 34.HCF of 48 and 156 =
  35. 35.HCF of 48 and 160 =
  36. 36.HCF of 240 and 176 =
  37. 37.HCF of 209 and 342 =
  38. 38.HCF of 162 and 36 =
  39. 39.HCF of 144 and 342 =
  40. 40.HCF of 56 and 70 =

Answer key

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

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