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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 570 · 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 143 and 220 =
  2. 2.HCF of 320 and 140 =
  3. 3.HCF of 112 and 120 =
  4. 4.HCF of 26 and 169 =
  5. 5.HCF of 140 and 98 =
  6. 6.HCF of 104 and 48 =
  7. 7.HCF of 76 and 72 =
  8. 8.HCF of 9 and 24 =
  9. 9.HCF of 78 and 18 =
  10. 10.HCF of 40 and 136 =
  11. 11.HCF of 35 and 84 =
  12. 12.HCF of 25 and 85 =
  13. 13.HCF of 76 and 60 =
  14. 14.HCF of 176 and 143 =
  15. 15.HCF of 252 and 357 =
  16. 16.HCF of 125 and 100 =
  17. 17.HCF of 48 and 228 =
  18. 18.HCF of 396 and 374 =
  19. 19.HCF of 475 and 275 =
  20. 20.HCF of 20 and 48 =
  21. 21.HCF of 266 and 285 =
  22. 22.HCF of 48 and 40 =
  23. 23.HCF of 65 and 60 =
  24. 24.HCF of 176 and 330 =
  25. 25.HCF of 12 and 14 =
  26. 26.HCF of 247 and 234 =
  27. 27.HCF of 224 and 126 =
  28. 28.HCF of 460 and 299 =
  29. 29.HCF of 25 and 40 =
  30. 30.HCF of 255 and 120 =
  31. 31.HCF of 21 and 48 =
  32. 32.HCF of 108 and 192 =
  33. 33.HCF of 63 and 399 =
  34. 34.HCF of 152 and 160 =
  35. 35.HCF of 16 and 38 =
  36. 36.HCF of 88 and 66 =
  37. 37.HCF of 12 and 114 =
  38. 38.HCF of 18 and 30 =
  39. 39.HCF of 63 and 45 =
  40. 40.HCF of 22 and 30 =

Answer key

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

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