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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 75 · 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 380 and 60 =
  2. 2.HCF of 266 and 323 =
  3. 3.HCF of 209 and 77 =
  4. 4.HCF of 418 and 330 =
  5. 5.HCF of 378 and 357 =
  6. 6.HCF of 361 and 247 =
  7. 7.HCF of 190 and 50 =
  8. 8.HCF of 152 and 247 =
  9. 9.HCF of 10 and 35 =
  10. 10.HCF of 18 and 21 =
  11. 11.HCF of 36 and 45 =
  12. 12.HCF of 102 and 323 =
  13. 13.HCF of 221 and 153 =
  14. 14.HCF of 153 and 85 =
  15. 15.HCF of 55 and 209 =
  16. 16.HCF of 33 and 48 =
  17. 17.HCF of 114 and 48 =
  18. 18.HCF of 128 and 176 =
  19. 19.HCF of 91 and 14 =
  20. 20.HCF of 231 and 42 =
  21. 21.HCF of 133 and 171 =
  22. 22.HCF of 80 and 100 =
  23. 23.HCF of 143 and 247 =
  24. 24.HCF of 4 and 30 =
  25. 25.HCF of 247 and 38 =
  26. 26.HCF of 187 and 323 =
  27. 27.HCF of 108 and 114 =
  28. 28.HCF of 312 and 96 =
  29. 29.HCF of 55 and 95 =
  30. 30.HCF of 475 and 250 =
  31. 31.HCF of 256 and 272 =
  32. 32.HCF of 45 and 36 =
  33. 33.HCF of 21 and 70 =
  34. 34.HCF of 42 and 56 =
  35. 35.HCF of 195 and 52 =
  36. 36.HCF of 63 and 162 =
  37. 37.HCF of 21 and 24 =
  38. 38.HCF of 28 and 40 =
  39. 39.HCF of 60 and 76 =
  40. 40.HCF of 30 and 135 =

Answer key

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

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