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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 132 · 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 99 and 144 =
  2. 2.HCF of 153 and 180 =
  3. 3.HCF of 48 and 40 =
  4. 4.HCF of 75 and 175 =
  5. 5.HCF of 105 and 28 =
  6. 6.HCF of 34 and 38 =
  7. 7.HCF of 22 and 77 =
  8. 8.HCF of 231 and 210 =
  9. 9.HCF of 121 and 44 =
  10. 10.HCF of 63 and 112 =
  11. 11.HCF of 210 and 63 =
  12. 12.HCF of 204 and 192 =
  13. 13.HCF of 117 and 130 =
  14. 14.HCF of 228 and 48 =
  15. 15.HCF of 15 and 80 =
  16. 16.HCF of 190 and 209 =
  17. 17.HCF of 220 and 100 =
  18. 18.HCF of 375 and 325 =
  19. 19.HCF of 96 and 304 =
  20. 20.HCF of 45 and 63 =
  21. 21.HCF of 63 and 168 =
  22. 22.HCF of 105 and 28 =
  23. 23.HCF of 117 and 143 =
  24. 24.HCF of 340 and 160 =
  25. 25.HCF of 35 and 133 =
  26. 26.HCF of 150 and 80 =
  27. 27.HCF of 418 and 440 =
  28. 28.HCF of 78 and 60 =
  29. 29.HCF of 161 and 207 =
  30. 30.HCF of 336 and 357 =
  31. 31.HCF of 154 and 168 =
  32. 32.HCF of 150 and 105 =
  33. 33.HCF of 42 and 33 =
  34. 34.HCF of 104 and 195 =
  35. 35.HCF of 24 and 156 =
  36. 36.HCF of 52 and 247 =
  37. 37.HCF of 51 and 24 =
  38. 38.HCF of 96 and 72 =
  39. 39.HCF of 161 and 276 =
  40. 40.HCF of 350 and 225 =

Answer key

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

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