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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 62 · 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 63 and 18 =
  2. 2.HCF of 315 and 336 =
  3. 3.HCF of 21 and 35 =
  4. 4.HCF of 140 and 320 =
  5. 5.HCF of 432 and 168 =
  6. 6.HCF of 35 and 28 =
  7. 7.HCF of 38 and 361 =
  8. 8.HCF of 330 and 88 =
  9. 9.HCF of 144 and 45 =
  10. 10.HCF of 20 and 90 =
  11. 11.HCF of 345 and 92 =
  12. 12.HCF of 110 and 33 =
  13. 13.HCF of 30 and 40 =
  14. 14.HCF of 40 and 56 =
  15. 15.HCF of 300 and 105 =
  16. 16.HCF of 110 and 209 =
  17. 17.HCF of 54 and 21 =
  18. 18.HCF of 36 and 57 =
  19. 19.HCF of 144 and 136 =
  20. 20.HCF of 8 and 26 =
  21. 21.HCF of 165 and 195 =
  22. 22.HCF of 99 and 55 =
  23. 23.HCF of 357 and 168 =
  24. 24.HCF of 72 and 30 =
  25. 25.HCF of 60 and 380 =
  26. 26.HCF of 120 and 312 =
  27. 27.HCF of 152 and 16 =
  28. 28.HCF of 34 and 85 =
  29. 29.HCF of 9 and 21 =
  30. 30.HCF of 255 and 120 =
  31. 31.HCF of 119 and 136 =
  32. 32.HCF of 425 and 500 =
  33. 33.HCF of 36 and 204 =
  34. 34.HCF of 273 and 189 =
  35. 35.HCF of 48 and 56 =
  36. 36.HCF of 400 and 275 =
  37. 37.HCF of 210 and 147 =
  38. 38.HCF of 99 and 153 =
  39. 39.HCF of 36 and 102 =
  40. 40.HCF of 105 and 90 =

Answer key

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

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