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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 507 · 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 60 =
  2. 2.HCF of 408 and 384 =
  3. 3.HCF of 135 and 255 =
  4. 4.HCF of 92 and 437 =
  5. 5.HCF of 253 and 276 =
  6. 6.HCF of 169 and 91 =
  7. 7.HCF of 221 and 26 =
  8. 8.HCF of 104 and 221 =
  9. 9.HCF of 374 and 264 =
  10. 10.HCF of 168 and 216 =
  11. 11.HCF of 176 and 240 =
  12. 12.HCF of 242 and 264 =
  13. 13.HCF of 27 and 15 =
  14. 14.HCF of 105 and 240 =
  15. 15.HCF of 378 and 147 =
  16. 16.HCF of 35 and 25 =
  17. 17.HCF of 323 and 51 =
  18. 18.HCF of 306 and 126 =
  19. 19.HCF of 40 and 15 =
  20. 20.HCF of 125 and 100 =
  21. 21.HCF of 475 and 400 =
  22. 22.HCF of 24 and 42 =
  23. 23.HCF of 374 and 308 =
  24. 24.HCF of 15 and 50 =
  25. 25.HCF of 170 and 150 =
  26. 26.HCF of 76 and 285 =
  27. 27.HCF of 253 and 460 =
  28. 28.HCF of 187 and 238 =
  29. 29.HCF of 240 and 256 =
  30. 30.HCF of 60 and 84 =
  31. 31.HCF of 120 and 170 =
  32. 32.HCF of 91 and 234 =
  33. 33.HCF of 242 and 66 =
  34. 34.HCF of 147 and 105 =
  35. 35.HCF of 54 and 84 =
  36. 36.HCF of 357 and 168 =
  37. 37.HCF of 169 and 52 =
  38. 38.HCF of 375 and 175 =
  39. 39.HCF of 240 and 84 =
  40. 40.HCF of 320 and 272 =

Answer key

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

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