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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 618 · 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 300 and 380 =
  2. 2.HCF of 42 and 266 =
  3. 3.HCF of 360 and 48 =
  4. 4.HCF of 30 and 200 =
  5. 5.HCF of 170 and 120 =
  6. 6.HCF of 308 and 374 =
  7. 7.HCF of 256 and 304 =
  8. 8.HCF of 162 and 171 =
  9. 9.HCF of 30 and 51 =
  10. 10.HCF of 78 and 221 =
  11. 11.HCF of 418 and 308 =
  12. 12.HCF of 65 and 52 =
  13. 13.HCF of 64 and 136 =
  14. 14.HCF of 380 and 140 =
  15. 15.HCF of 133 and 140 =
  16. 16.HCF of 30 and 80 =
  17. 17.HCF of 440 and 242 =
  18. 18.HCF of 36 and 63 =
  19. 19.HCF of 38 and 18 =
  20. 20.HCF of 242 and 110 =
  21. 21.HCF of 276 and 161 =
  22. 22.HCF of 275 and 450 =
  23. 23.HCF of 120 and 190 =
  24. 24.HCF of 72 and 192 =
  25. 25.HCF of 120 and 288 =
  26. 26.HCF of 104 and 120 =
  27. 27.HCF of 54 and 48 =
  28. 28.HCF of 88 and 418 =
  29. 29.HCF of 52 and 76 =
  30. 30.HCF of 25 and 45 =
  31. 31.HCF of 169 and 26 =
  32. 32.HCF of 420 and 357 =
  33. 33.HCF of 40 and 136 =
  34. 34.HCF of 144 and 88 =
  35. 35.HCF of 72 and 20 =
  36. 36.HCF of 20 and 65 =
  37. 37.HCF of 299 and 207 =
  38. 38.HCF of 20 and 38 =
  39. 39.HCF of 50 and 375 =
  40. 40.HCF of 33 and 51 =

Answer key

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

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