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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 395 · 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 24 and 32 =
  2. 2.HCF of 147 and 336 =
  3. 3.HCF of 240 and 195 =
  4. 4.HCF of 180 and 280 =
  5. 5.HCF of 132 and 24 =
  6. 6.HCF of 117 and 130 =
  7. 7.HCF of 150 and 135 =
  8. 8.HCF of 140 and 400 =
  9. 9.HCF of 168 and 72 =
  10. 10.HCF of 130 and 91 =
  11. 11.HCF of 154 and 165 =
  12. 12.HCF of 374 and 440 =
  13. 13.HCF of 14 and 105 =
  14. 14.HCF of 30 and 100 =
  15. 15.HCF of 361 and 95 =
  16. 16.HCF of 45 and 21 =
  17. 17.HCF of 112 and 182 =
  18. 18.HCF of 24 and 27 =
  19. 19.HCF of 285 and 30 =
  20. 20.HCF of 209 and 380 =
  21. 21.HCF of 220 and 260 =
  22. 22.HCF of 63 and 91 =
  23. 23.HCF of 247 and 285 =
  24. 24.HCF of 100 and 70 =
  25. 25.HCF of 119 and 42 =
  26. 26.HCF of 25 and 15 =
  27. 27.HCF of 357 and 294 =
  28. 28.HCF of 425 and 50 =
  29. 29.HCF of 120 and 456 =
  30. 30.HCF of 80 and 340 =
  31. 31.HCF of 60 and 380 =
  32. 32.HCF of 27 and 72 =
  33. 33.HCF of 75 and 40 =
  34. 34.HCF of 120 and 255 =
  35. 35.HCF of 36 and 153 =
  36. 36.HCF of 195 and 26 =
  37. 37.HCF of 90 and 84 =
  38. 38.HCF of 9 and 42 =
  39. 39.HCF of 126 and 81 =
  40. 40.HCF of 30 and 78 =

Answer key

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

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