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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 21 · 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 152 and 96 =
  2. 2.HCF of 140 and 98 =
  3. 3.HCF of 84 and 189 =
  4. 4.HCF of 68 and 56 =
  5. 5.HCF of 36 and 27 =
  6. 6.HCF of 336 and 357 =
  7. 7.HCF of 264 and 480 =
  8. 8.HCF of 300 and 280 =
  9. 9.HCF of 76 and 36 =
  10. 10.HCF of 99 and 27 =
  11. 11.HCF of 391 and 92 =
  12. 12.HCF of 456 and 480 =
  13. 13.HCF of 14 and 32 =
  14. 14.HCF of 70 and 160 =
  15. 15.HCF of 133 and 152 =
  16. 16.HCF of 234 and 198 =
  17. 17.HCF of 228 and 133 =
  18. 18.HCF of 12 and 16 =
  19. 19.HCF of 16 and 56 =
  20. 20.HCF of 16 and 40 =
  21. 21.HCF of 68 and 60 =
  22. 22.HCF of 9 and 51 =
  23. 23.HCF of 60 and 170 =
  24. 24.HCF of 64 and 136 =
  25. 25.HCF of 20 and 44 =
  26. 26.HCF of 154 and 374 =
  27. 27.HCF of 90 and 342 =
  28. 28.HCF of 92 and 345 =
  29. 29.HCF of 308 and 374 =
  30. 30.HCF of 90 and 105 =
  31. 31.HCF of 64 and 152 =
  32. 32.HCF of 432 and 456 =
  33. 33.HCF of 280 and 220 =
  34. 34.HCF of 112 and 77 =
  35. 35.HCF of 10 and 22 =
  36. 36.HCF of 198 and 180 =
  37. 37.HCF of 187 and 154 =
  38. 38.HCF of 391 and 46 =
  39. 39.HCF of 77 and 35 =
  40. 40.HCF of 98 and 140 =

Answer key

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

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