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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 652 · 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 144 and 456 =
  2. 2.HCF of 135 and 165 =
  3. 3.HCF of 36 and 32 =
  4. 4.HCF of 285 and 105 =
  5. 5.HCF of 360 and 312 =
  6. 6.HCF of 104 and 56 =
  7. 7.HCF of 96 and 18 =
  8. 8.HCF of 75 and 125 =
  9. 9.HCF of 80 and 288 =
  10. 10.HCF of 24 and 57 =
  11. 11.HCF of 154 and 66 =
  12. 12.HCF of 336 and 120 =
  13. 13.HCF of 120 and 100 =
  14. 14.HCF of 340 and 280 =
  15. 15.HCF of 156 and 143 =
  16. 16.HCF of 266 and 112 =
  17. 17.HCF of 16 and 18 =
  18. 18.HCF of 6 and 51 =
  19. 19.HCF of 220 and 80 =
  20. 20.HCF of 18 and 78 =
  21. 21.HCF of 182 and 247 =
  22. 22.HCF of 418 and 88 =
  23. 23.HCF of 90 and 170 =
  24. 24.HCF of 180 and 130 =
  25. 25.HCF of 176 and 320 =
  26. 26.HCF of 21 and 12 =
  27. 27.HCF of 112 and 77 =
  28. 28.HCF of 247 and 143 =
  29. 29.HCF of 105 and 28 =
  30. 30.HCF of 60 and 55 =
  31. 31.HCF of 77 and 66 =
  32. 32.HCF of 66 and 120 =
  33. 33.HCF of 273 and 84 =
  34. 34.HCF of 51 and 85 =
  35. 35.HCF of 68 and 40 =
  36. 36.HCF of 437 and 230 =
  37. 37.HCF of 162 and 90 =
  38. 38.HCF of 26 and 32 =
  39. 39.HCF of 340 and 187 =
  40. 40.HCF of 105 and 195 =

Answer key

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

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