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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 676 · 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 192 and 360 =
  2. 2.HCF of 65 and 20 =
  3. 3.HCF of 66 and 90 =
  4. 4.HCF of 170 and 180 =
  5. 5.HCF of 85 and 323 =
  6. 6.HCF of 114 and 12 =
  7. 7.HCF of 60 and 75 =
  8. 8.HCF of 153 and 54 =
  9. 9.HCF of 42 and 49 =
  10. 10.HCF of 270 and 195 =
  11. 11.HCF of 27 and 15 =
  12. 12.HCF of 12 and 57 =
  13. 13.HCF of 32 and 72 =
  14. 14.HCF of 35 and 15 =
  15. 15.HCF of 34 and 51 =
  16. 16.HCF of 66 and 60 =
  17. 17.HCF of 10 and 34 =
  18. 18.HCF of 66 and 36 =
  19. 19.HCF of 30 and 190 =
  20. 20.HCF of 24 and 114 =
  21. 21.HCF of 36 and 10 =
  22. 22.HCF of 378 and 147 =
  23. 23.HCF of 35 and 42 =
  24. 24.HCF of 253 and 437 =
  25. 25.HCF of 160 and 130 =
  26. 26.HCF of 275 and 100 =
  27. 27.HCF of 39 and 54 =
  28. 28.HCF of 42 and 63 =
  29. 29.HCF of 253 and 414 =
  30. 30.HCF of 91 and 70 =
  31. 31.HCF of 342 and 95 =
  32. 32.HCF of 140 and 133 =
  33. 33.HCF of 200 and 60 =
  34. 34.HCF of 238 and 280 =
  35. 35.HCF of 221 and 238 =
  36. 36.HCF of 150 and 325 =
  37. 37.HCF of 130 and 50 =
  38. 38.HCF of 12 and 80 =
  39. 39.HCF of 161 and 276 =
  40. 40.HCF of 306 and 36 =

Answer key

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

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