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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 305 · 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 50 and 75 =
  2. 2.HCF of 77 and 49 =
  3. 3.HCF of 320 and 100 =
  4. 4.HCF of 90 and 160 =
  5. 5.HCF of 440 and 66 =
  6. 6.HCF of 45 and 48 =
  7. 7.HCF of 60 and 78 =
  8. 8.HCF of 180 and 75 =
  9. 9.HCF of 125 and 450 =
  10. 10.HCF of 69 and 368 =
  11. 11.HCF of 128 and 48 =
  12. 12.HCF of 36 and 306 =
  13. 13.HCF of 304 and 323 =
  14. 14.HCF of 63 and 210 =
  15. 15.HCF of 72 and 136 =
  16. 16.HCF of 65 and 91 =
  17. 17.HCF of 35 and 40 =
  18. 18.HCF of 18 and 14 =
  19. 19.HCF of 380 and 120 =
  20. 20.HCF of 135 and 18 =
  21. 21.HCF of 92 and 345 =
  22. 22.HCF of 240 and 176 =
  23. 23.HCF of 90 and 25 =
  24. 24.HCF of 252 and 270 =
  25. 25.HCF of 160 and 90 =
  26. 26.HCF of 171 and 144 =
  27. 27.HCF of 132 and 192 =
  28. 28.HCF of 8 and 6 =
  29. 29.HCF of 208 and 91 =
  30. 30.HCF of 180 and 63 =
  31. 31.HCF of 91 and 42 =
  32. 32.HCF of 231 and 210 =
  33. 33.HCF of 240 and 140 =
  34. 34.HCF of 140 and 150 =
  35. 35.HCF of 45 and 60 =
  36. 36.HCF of 92 and 115 =
  37. 37.HCF of 147 and 273 =
  38. 38.HCF of 273 and 168 =
  39. 39.HCF of 143 and 78 =
  40. 40.HCF of 323 and 76 =

Answer key

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

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