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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 754 · 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 182 and 252 =
  2. 2.HCF of 144 and 456 =
  3. 3.HCF of 50 and 225 =
  4. 4.HCF of 112 and 42 =
  5. 5.HCF of 18 and 15 =
  6. 6.HCF of 400 and 260 =
  7. 7.HCF of 64 and 120 =
  8. 8.HCF of 44 and 40 =
  9. 9.HCF of 144 and 64 =
  10. 10.HCF of 77 and 55 =
  11. 11.HCF of 104 and 247 =
  12. 12.HCF of 15 and 57 =
  13. 13.HCF of 24 and 104 =
  14. 14.HCF of 40 and 18 =
  15. 15.HCF of 273 and 294 =
  16. 16.HCF of 135 and 72 =
  17. 17.HCF of 15 and 6 =
  18. 18.HCF of 34 and 6 =
  19. 19.HCF of 44 and 12 =
  20. 20.HCF of 169 and 65 =
  21. 21.HCF of 220 and 280 =
  22. 22.HCF of 168 and 360 =
  23. 23.HCF of 81 and 144 =
  24. 24.HCF of 12 and 16 =
  25. 25.HCF of 153 and 99 =
  26. 26.HCF of 300 and 325 =
  27. 27.HCF of 60 and 160 =
  28. 28.HCF of 150 and 190 =
  29. 29.HCF of 84 and 63 =
  30. 30.HCF of 391 and 92 =
  31. 31.HCF of 425 and 75 =
  32. 32.HCF of 104 and 16 =
  33. 33.HCF of 51 and 12 =
  34. 34.HCF of 209 and 76 =
  35. 35.HCF of 260 and 120 =
  36. 36.HCF of 27 and 12 =
  37. 37.HCF of 36 and 63 =
  38. 38.HCF of 45 and 12 =
  39. 39.HCF of 72 and 456 =
  40. 40.HCF of 224 and 98 =

Answer key

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

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