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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 472 · 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 36 =
  2. 2.HCF of 275 and 125 =
  3. 3.HCF of 12 and 40 =
  4. 4.HCF of 66 and 12 =
  5. 5.HCF of 70 and 182 =
  6. 6.HCF of 24 and 64 =
  7. 7.HCF of 42 and 39 =
  8. 8.HCF of 110 and 418 =
  9. 9.HCF of 189 and 273 =
  10. 10.HCF of 133 and 35 =
  11. 11.HCF of 168 and 216 =
  12. 12.HCF of 72 and 90 =
  13. 13.HCF of 91 and 130 =
  14. 14.HCF of 96 and 208 =
  15. 15.HCF of 180 and 220 =
  16. 16.HCF of 180 and 200 =
  17. 17.HCF of 160 and 72 =
  18. 18.HCF of 40 and 76 =
  19. 19.HCF of 169 and 182 =
  20. 20.HCF of 81 and 63 =
  21. 21.HCF of 117 and 126 =
  22. 22.HCF of 84 and 77 =
  23. 23.HCF of 119 and 187 =
  24. 24.HCF of 42 and 70 =
  25. 25.HCF of 224 and 48 =
  26. 26.HCF of 108 and 24 =
  27. 27.HCF of 80 and 90 =
  28. 28.HCF of 48 and 76 =
  29. 29.HCF of 234 and 221 =
  30. 30.HCF of 70 and 160 =
  31. 31.HCF of 24 and 28 =
  32. 32.HCF of 187 and 170 =
  33. 33.HCF of 119 and 112 =
  34. 34.HCF of 6 and 16 =
  35. 35.HCF of 24 and 56 =
  36. 36.HCF of 160 and 56 =
  37. 37.HCF of 8 and 34 =
  38. 38.HCF of 40 and 18 =
  39. 39.HCF of 308 and 418 =
  40. 40.HCF of 160 and 300 =

Answer key

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

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