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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 50 · 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 42 and 231 =
  2. 2.HCF of 42 and 196 =
  3. 3.HCF of 56 and 40 =
  4. 4.HCF of 22 and 8 =
  5. 5.HCF of 300 and 425 =
  6. 6.HCF of 204 and 24 =
  7. 7.HCF of 60 and 228 =
  8. 8.HCF of 425 and 350 =
  9. 9.HCF of 294 and 231 =
  10. 10.HCF of 152 and 16 =
  11. 11.HCF of 322 and 115 =
  12. 12.HCF of 56 and 68 =
  13. 13.HCF of 285 and 30 =
  14. 14.HCF of 169 and 39 =
  15. 15.HCF of 12 and 14 =
  16. 16.HCF of 270 and 195 =
  17. 17.HCF of 230 and 437 =
  18. 18.HCF of 384 and 216 =
  19. 19.HCF of 42 and 114 =
  20. 20.HCF of 33 and 54 =
  21. 21.HCF of 42 and 63 =
  22. 22.HCF of 117 and 36 =
  23. 23.HCF of 32 and 72 =
  24. 24.HCF of 320 and 144 =
  25. 25.HCF of 209 and 66 =
  26. 26.HCF of 84 and 192 =
  27. 27.HCF of 196 and 210 =
  28. 28.HCF of 418 and 66 =
  29. 29.HCF of 27 and 36 =
  30. 30.HCF of 285 and 247 =
  31. 31.HCF of 40 and 95 =
  32. 32.HCF of 110 and 200 =
  33. 33.HCF of 323 and 95 =
  34. 34.HCF of 169 and 104 =
  35. 35.HCF of 63 and 336 =
  36. 36.HCF of 60 and 280 =
  37. 37.HCF of 32 and 104 =
  38. 38.HCF of 70 and 77 =
  39. 39.HCF of 24 and 114 =
  40. 40.HCF of 50 and 60 =

Answer key

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

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