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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 173 · 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 160 and 24 =
  2. 2.HCF of 425 and 150 =
  3. 3.HCF of 46 and 253 =
  4. 4.HCF of 36 and 228 =
  5. 5.HCF of 120 and 456 =
  6. 6.HCF of 90 and 144 =
  7. 7.HCF of 161 and 437 =
  8. 8.HCF of 180 and 27 =
  9. 9.HCF of 91 and 247 =
  10. 10.HCF of 384 and 72 =
  11. 11.HCF of 45 and 99 =
  12. 12.HCF of 247 and 361 =
  13. 13.HCF of 45 and 6 =
  14. 14.HCF of 70 and 168 =
  15. 15.HCF of 42 and 28 =
  16. 16.HCF of 375 and 175 =
  17. 17.HCF of 204 and 216 =
  18. 18.HCF of 105 and 300 =
  19. 19.HCF of 100 and 475 =
  20. 20.HCF of 18 and 114 =
  21. 21.HCF of 90 and 55 =
  22. 22.HCF of 138 and 437 =
  23. 23.HCF of 270 and 36 =
  24. 24.HCF of 45 and 18 =
  25. 25.HCF of 28 and 49 =
  26. 26.HCF of 135 and 150 =
  27. 27.HCF of 40 and 130 =
  28. 28.HCF of 50 and 190 =
  29. 29.HCF of 192 and 156 =
  30. 30.HCF of 49 and 105 =
  31. 31.HCF of 105 and 90 =
  32. 32.HCF of 189 and 420 =
  33. 33.HCF of 70 and 84 =
  34. 34.HCF of 322 and 437 =
  35. 35.HCF of 80 and 64 =
  36. 36.HCF of 96 and 60 =
  37. 37.HCF of 196 and 266 =
  38. 38.HCF of 36 and 60 =
  39. 39.HCF of 16 and 56 =
  40. 40.HCF of 15 and 48 =

Answer key

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

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