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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 191 · 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 100 and 475 =
  2. 2.HCF of 360 and 336 =
  3. 3.HCF of 323 and 57 =
  4. 4.HCF of 340 and 323 =
  5. 5.HCF of 408 and 336 =
  6. 6.HCF of 360 and 140 =
  7. 7.HCF of 60 and 72 =
  8. 8.HCF of 18 and 57 =
  9. 9.HCF of 273 and 378 =
  10. 10.HCF of 175 and 250 =
  11. 11.HCF of 308 and 374 =
  12. 12.HCF of 168 and 192 =
  13. 13.HCF of 80 and 272 =
  14. 14.HCF of 361 and 342 =
  15. 15.HCF of 117 and 52 =
  16. 16.HCF of 154 and 143 =
  17. 17.HCF of 336 and 408 =
  18. 18.HCF of 207 and 253 =
  19. 19.HCF of 45 and 25 =
  20. 20.HCF of 266 and 323 =
  21. 21.HCF of 114 and 48 =
  22. 22.HCF of 38 and 247 =
  23. 23.HCF of 136 and 187 =
  24. 24.HCF of 75 and 350 =
  25. 25.HCF of 8 and 10 =
  26. 26.HCF of 384 and 456 =
  27. 27.HCF of 28 and 6 =
  28. 28.HCF of 70 and 55 =
  29. 29.HCF of 170 and 289 =
  30. 30.HCF of 460 and 391 =
  31. 31.HCF of 143 and 104 =
  32. 32.HCF of 352 and 66 =
  33. 33.HCF of 28 and 34 =
  34. 34.HCF of 88 and 286 =
  35. 35.HCF of 399 and 357 =
  36. 36.HCF of 90 and 81 =
  37. 37.HCF of 65 and 221 =
  38. 38.HCF of 110 and 418 =
  39. 39.HCF of 42 and 98 =
  40. 40.HCF of 66 and 286 =

Answer key

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

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