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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 136 · 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 45 =
  2. 2.HCF of 154 and 264 =
  3. 3.HCF of 132 and 240 =
  4. 4.HCF of 54 and 42 =
  5. 5.HCF of 69 and 46 =
  6. 6.HCF of 224 and 208 =
  7. 7.HCF of 54 and 60 =
  8. 8.HCF of 65 and 117 =
  9. 9.HCF of 44 and 16 =
  10. 10.HCF of 96 and 56 =
  11. 11.HCF of 378 and 231 =
  12. 12.HCF of 169 and 247 =
  13. 13.HCF of 110 and 88 =
  14. 14.HCF of 46 and 69 =
  15. 15.HCF of 55 and 35 =
  16. 16.HCF of 336 and 273 =
  17. 17.HCF of 340 and 51 =
  18. 18.HCF of 136 and 96 =
  19. 19.HCF of 190 and 120 =
  20. 20.HCF of 90 and 24 =
  21. 21.HCF of 99 and 126 =
  22. 22.HCF of 35 and 50 =
  23. 23.HCF of 380 and 360 =
  24. 24.HCF of 95 and 90 =
  25. 25.HCF of 143 and 44 =
  26. 26.HCF of 220 and 40 =
  27. 27.HCF of 33 and 77 =
  28. 28.HCF of 165 and 135 =
  29. 29.HCF of 133 and 84 =
  30. 30.HCF of 22 and 55 =
  31. 31.HCF of 275 and 425 =
  32. 32.HCF of 153 and 187 =
  33. 33.HCF of 36 and 270 =
  34. 34.HCF of 221 and 51 =
  35. 35.HCF of 48 and 44 =
  36. 36.HCF of 55 and 65 =
  37. 37.HCF of 130 and 180 =
  38. 38.HCF of 40 and 140 =
  39. 39.HCF of 300 and 285 =
  40. 40.HCF of 15 and 25 =

Answer key

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

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