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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 100 · 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 266 and 56 =
  2. 2.HCF of 190 and 50 =
  3. 3.HCF of 26 and 8 =
  4. 4.HCF of 63 and 105 =
  5. 5.HCF of 84 and 238 =
  6. 6.HCF of 33 and 55 =
  7. 7.HCF of 39 and 27 =
  8. 8.HCF of 30 and 38 =
  9. 9.HCF of 12 and 66 =
  10. 10.HCF of 70 and 180 =
  11. 11.HCF of 48 and 108 =
  12. 12.HCF of 128 and 304 =
  13. 13.HCF of 30 and 28 =
  14. 14.HCF of 380 and 40 =
  15. 15.HCF of 121 and 220 =
  16. 16.HCF of 399 and 231 =
  17. 17.HCF of 57 and 380 =
  18. 18.HCF of 209 and 95 =
  19. 19.HCF of 84 and 156 =
  20. 20.HCF of 45 and 21 =
  21. 21.HCF of 342 and 252 =
  22. 22.HCF of 126 and 90 =
  23. 23.HCF of 72 and 66 =
  24. 24.HCF of 33 and 18 =
  25. 25.HCF of 160 and 176 =
  26. 26.HCF of 180 and 126 =
  27. 27.HCF of 210 and 112 =
  28. 28.HCF of 325 and 300 =
  29. 29.HCF of 24 and 40 =
  30. 30.HCF of 150 and 80 =
  31. 31.HCF of 4 and 38 =
  32. 32.HCF of 300 and 275 =
  33. 33.HCF of 221 and 306 =
  34. 34.HCF of 336 and 273 =
  35. 35.HCF of 112 and 182 =
  36. 36.HCF of 22 and 10 =
  37. 37.HCF of 85 and 90 =
  38. 38.HCF of 18 and 48 =
  39. 39.HCF of 90 and 27 =
  40. 40.HCF of 76 and 32 =

Answer key

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

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