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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 444 · 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 220 and 40 =
  2. 2.HCF of 209 and 55 =
  3. 3.HCF of 30 and 36 =
  4. 4.HCF of 90 and 95 =
  5. 5.HCF of 156 and 91 =
  6. 6.HCF of 170 and 140 =
  7. 7.HCF of 48 and 39 =
  8. 8.HCF of 112 and 126 =
  9. 9.HCF of 36 and 90 =
  10. 10.HCF of 143 and 104 =
  11. 11.HCF of 70 and 30 =
  12. 12.HCF of 294 and 399 =
  13. 13.HCF of 30 and 48 =
  14. 14.HCF of 240 and 75 =
  15. 15.HCF of 154 and 374 =
  16. 16.HCF of 84 and 266 =
  17. 17.HCF of 126 and 147 =
  18. 18.HCF of 27 and 36 =
  19. 19.HCF of 35 and 65 =
  20. 20.HCF of 176 and 96 =
  21. 21.HCF of 12 and 32 =
  22. 22.HCF of 260 and 169 =
  23. 23.HCF of 60 and 96 =
  24. 24.HCF of 288 and 198 =
  25. 25.HCF of 27 and 6 =
  26. 26.HCF of 126 and 171 =
  27. 27.HCF of 78 and 60 =
  28. 28.HCF of 220 and 360 =
  29. 29.HCF of 15 and 20 =
  30. 30.HCF of 228 and 247 =
  31. 31.HCF of 357 and 147 =
  32. 32.HCF of 247 and 65 =
  33. 33.HCF of 143 and 234 =
  34. 34.HCF of 306 and 234 =
  35. 35.HCF of 161 and 69 =
  36. 36.HCF of 156 and 247 =
  37. 37.HCF of 253 and 460 =
  38. 38.HCF of 80 and 340 =
  39. 39.HCF of 33 and 21 =
  40. 40.HCF of 28 and 119 =

Answer key

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

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