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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 166 · 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 12 and 68 =
  2. 2.HCF of 68 and 52 =
  3. 3.HCF of 33 and 57 =
  4. 4.HCF of 285 and 76 =
  5. 5.HCF of 120 and 100 =
  6. 6.HCF of 143 and 260 =
  7. 7.HCF of 119 and 35 =
  8. 8.HCF of 77 and 220 =
  9. 9.HCF of 330 and 88 =
  10. 10.HCF of 140 and 91 =
  11. 11.HCF of 60 and 160 =
  12. 12.HCF of 6 and 22 =
  13. 13.HCF of 432 and 168 =
  14. 14.HCF of 192 and 180 =
  15. 15.HCF of 209 and 33 =
  16. 16.HCF of 60 and 320 =
  17. 17.HCF of 90 and 342 =
  18. 18.HCF of 187 and 136 =
  19. 19.HCF of 28 and 77 =
  20. 20.HCF of 247 and 38 =
  21. 21.HCF of 133 and 119 =
  22. 22.HCF of 140 and 50 =
  23. 23.HCF of 92 and 345 =
  24. 24.HCF of 90 and 140 =
  25. 25.HCF of 54 and 24 =
  26. 26.HCF of 375 and 350 =
  27. 27.HCF of 35 and 10 =
  28. 28.HCF of 168 and 357 =
  29. 29.HCF of 323 and 255 =
  30. 30.HCF of 39 and 60 =
  31. 31.HCF of 408 and 144 =
  32. 32.HCF of 65 and 90 =
  33. 33.HCF of 153 and 238 =
  34. 34.HCF of 357 and 42 =
  35. 35.HCF of 95 and 247 =
  36. 36.HCF of 35 and 45 =
  37. 37.HCF of 16 and 18 =
  38. 38.HCF of 154 and 176 =
  39. 39.HCF of 221 and 65 =
  40. 40.HCF of 40 and 96 =

Answer key

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

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