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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 311 · 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 228 and 323 =
  2. 2.HCF of 95 and 70 =
  3. 3.HCF of 136 and 64 =
  4. 4.HCF of 65 and 75 =
  5. 5.HCF of 65 and 50 =
  6. 6.HCF of 44 and 36 =
  7. 7.HCF of 95 and 171 =
  8. 8.HCF of 90 and 126 =
  9. 9.HCF of 104 and 80 =
  10. 10.HCF of 50 and 325 =
  11. 11.HCF of 480 and 216 =
  12. 12.HCF of 108 and 204 =
  13. 13.HCF of 51 and 12 =
  14. 14.HCF of 72 and 270 =
  15. 15.HCF of 26 and 30 =
  16. 16.HCF of 38 and 36 =
  17. 17.HCF of 76 and 133 =
  18. 18.HCF of 160 and 90 =
  19. 19.HCF of 40 and 90 =
  20. 20.HCF of 14 and 21 =
  21. 21.HCF of 95 and 171 =
  22. 22.HCF of 60 and 42 =
  23. 23.HCF of 72 and 152 =
  24. 24.HCF of 40 and 104 =
  25. 25.HCF of 238 and 224 =
  26. 26.HCF of 70 and 50 =
  27. 27.HCF of 112 and 80 =
  28. 28.HCF of 60 and 9 =
  29. 29.HCF of 72 and 408 =
  30. 30.HCF of 160 and 88 =
  31. 31.HCF of 30 and 35 =
  32. 32.HCF of 100 and 380 =
  33. 33.HCF of 42 and 224 =
  34. 34.HCF of 198 and 220 =
  35. 35.HCF of 50 and 30 =
  36. 36.HCF of 120 and 285 =
  37. 37.HCF of 100 and 40 =
  38. 38.HCF of 56 and 36 =
  39. 39.HCF of 34 and 38 =
  40. 40.HCF of 170 and 150 =

Answer key

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

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