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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 95 · 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 252 and 198 =
  2. 2.HCF of 150 and 70 =
  3. 3.HCF of 195 and 91 =
  4. 4.HCF of 84 and 238 =
  5. 5.HCF of 66 and 24 =
  6. 6.HCF of 171 and 36 =
  7. 7.HCF of 475 and 225 =
  8. 8.HCF of 209 and 171 =
  9. 9.HCF of 500 and 275 =
  10. 10.HCF of 154 and 33 =
  11. 11.HCF of 34 and 12 =
  12. 12.HCF of 18 and 48 =
  13. 13.HCF of 56 and 21 =
  14. 14.HCF of 260 and 380 =
  15. 15.HCF of 42 and 91 =
  16. 16.HCF of 63 and 35 =
  17. 17.HCF of 92 and 391 =
  18. 18.HCF of 72 and 312 =
  19. 19.HCF of 171 and 162 =
  20. 20.HCF of 54 and 12 =
  21. 21.HCF of 45 and 21 =
  22. 22.HCF of 28 and 68 =
  23. 23.HCF of 104 and 56 =
  24. 24.HCF of 20 and 64 =
  25. 25.HCF of 9 and 15 =
  26. 26.HCF of 192 and 304 =
  27. 27.HCF of 153 and 99 =
  28. 28.HCF of 176 and 80 =
  29. 29.HCF of 126 and 357 =
  30. 30.HCF of 285 and 45 =
  31. 31.HCF of 425 and 500 =
  32. 32.HCF of 44 and 209 =
  33. 33.HCF of 180 and 96 =
  34. 34.HCF of 48 and 224 =
  35. 35.HCF of 35 and 91 =
  36. 36.HCF of 128 and 176 =
  37. 37.HCF of 228 and 144 =
  38. 38.HCF of 187 and 176 =
  39. 39.HCF of 100 and 45 =
  40. 40.HCF of 120 and 56 =

Answer key

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

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