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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 198 · 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 275 and 175 =
  2. 2.HCF of 210 and 255 =
  3. 3.HCF of 153 and 99 =
  4. 4.HCF of 65 and 50 =
  5. 5.HCF of 294 and 399 =
  6. 6.HCF of 418 and 264 =
  7. 7.HCF of 192 and 112 =
  8. 8.HCF of 357 and 84 =
  9. 9.HCF of 56 and 70 =
  10. 10.HCF of 132 and 96 =
  11. 11.HCF of 408 and 168 =
  12. 12.HCF of 15 and 18 =
  13. 13.HCF of 100 and 80 =
  14. 14.HCF of 40 and 170 =
  15. 15.HCF of 325 and 75 =
  16. 16.HCF of 221 and 238 =
  17. 17.HCF of 30 and 9 =
  18. 18.HCF of 20 and 72 =
  19. 19.HCF of 27 and 153 =
  20. 20.HCF of 55 and 45 =
  21. 21.HCF of 44 and 56 =
  22. 22.HCF of 14 and 22 =
  23. 23.HCF of 70 and 49 =
  24. 24.HCF of 171 and 180 =
  25. 25.HCF of 288 and 208 =
  26. 26.HCF of 242 and 286 =
  27. 27.HCF of 175 and 250 =
  28. 28.HCF of 456 and 264 =
  29. 29.HCF of 323 and 34 =
  30. 30.HCF of 24 and 30 =
  31. 31.HCF of 266 and 323 =
  32. 32.HCF of 330 and 154 =
  33. 33.HCF of 90 and 36 =
  34. 34.HCF of 66 and 36 =
  35. 35.HCF of 40 and 300 =
  36. 36.HCF of 286 and 198 =
  37. 37.HCF of 330 and 154 =
  38. 38.HCF of 378 and 147 =
  39. 39.HCF of 80 and 52 =
  40. 40.HCF of 216 and 132 =

Answer key

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

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