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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 245 · 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 36 and 192 =
  2. 2.HCF of 391 and 414 =
  3. 3.HCF of 21 and 77 =
  4. 4.HCF of 98 and 168 =
  5. 5.HCF of 418 and 308 =
  6. 6.HCF of 40 and 16 =
  7. 7.HCF of 55 and 65 =
  8. 8.HCF of 125 and 100 =
  9. 9.HCF of 266 and 126 =
  10. 10.HCF of 320 and 260 =
  11. 11.HCF of 126 and 90 =
  12. 12.HCF of 286 and 154 =
  13. 13.HCF of 209 and 171 =
  14. 14.HCF of 391 and 276 =
  15. 15.HCF of 64 and 304 =
  16. 16.HCF of 36 and 99 =
  17. 17.HCF of 171 and 180 =
  18. 18.HCF of 120 and 190 =
  19. 19.HCF of 242 and 308 =
  20. 20.HCF of 108 and 66 =
  21. 21.HCF of 4 and 10 =
  22. 22.HCF of 288 and 208 =
  23. 23.HCF of 204 and 24 =
  24. 24.HCF of 153 and 108 =
  25. 25.HCF of 374 and 330 =
  26. 26.HCF of 360 and 48 =
  27. 27.HCF of 156 and 24 =
  28. 28.HCF of 150 and 175 =
  29. 29.HCF of 260 and 91 =
  30. 30.HCF of 140 and 240 =
  31. 31.HCF of 110 and 30 =
  32. 32.HCF of 228 and 192 =
  33. 33.HCF of 70 and 119 =
  34. 34.HCF of 112 and 160 =
  35. 35.HCF of 12 and 14 =
  36. 36.HCF of 70 and 28 =
  37. 37.HCF of 28 and 48 =
  38. 38.HCF of 171 and 95 =
  39. 39.HCF of 38 and 95 =
  40. 40.HCF of 95 and 323 =

Answer key

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

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