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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 133 · 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 18 and 117 =
  2. 2.HCF of 80 and 96 =
  3. 3.HCF of 95 and 342 =
  4. 4.HCF of 120 and 42 =
  5. 5.HCF of 475 and 125 =
  6. 6.HCF of 105 and 357 =
  7. 7.HCF of 306 and 221 =
  8. 8.HCF of 45 and 80 =
  9. 9.HCF of 266 and 285 =
  10. 10.HCF of 144 and 120 =
  11. 11.HCF of 65 and 169 =
  12. 12.HCF of 34 and 26 =
  13. 13.HCF of 119 and 306 =
  14. 14.HCF of 45 and 54 =
  15. 15.HCF of 192 and 112 =
  16. 16.HCF of 8 and 28 =
  17. 17.HCF of 96 and 456 =
  18. 18.HCF of 255 and 90 =
  19. 19.HCF of 72 and 153 =
  20. 20.HCF of 161 and 437 =
  21. 21.HCF of 198 and 154 =
  22. 22.HCF of 260 and 39 =
  23. 23.HCF of 228 and 133 =
  24. 24.HCF of 133 and 77 =
  25. 25.HCF of 34 and 255 =
  26. 26.HCF of 72 and 152 =
  27. 27.HCF of 120 and 384 =
  28. 28.HCF of 8 and 22 =
  29. 29.HCF of 304 and 96 =
  30. 30.HCF of 36 and 204 =
  31. 31.HCF of 90 and 70 =
  32. 32.HCF of 210 and 165 =
  33. 33.HCF of 360 and 408 =
  34. 34.HCF of 84 and 30 =
  35. 35.HCF of 65 and 104 =
  36. 36.HCF of 63 and 42 =
  37. 37.HCF of 221 and 156 =
  38. 38.HCF of 252 and 90 =
  39. 39.HCF of 143 and 198 =
  40. 40.HCF of 35 and 84 =

Answer key

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

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