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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 828 · 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 84 and 105 =
  2. 2.HCF of 360 and 456 =
  3. 3.HCF of 99 and 154 =
  4. 4.HCF of 156 and 36 =
  5. 5.HCF of 80 and 380 =
  6. 6.HCF of 54 and 90 =
  7. 7.HCF of 220 and 340 =
  8. 8.HCF of 230 and 437 =
  9. 9.HCF of 40 and 22 =
  10. 10.HCF of 18 and 10 =
  11. 11.HCF of 152 and 144 =
  12. 12.HCF of 70 and 154 =
  13. 13.HCF of 253 and 161 =
  14. 14.HCF of 105 and 252 =
  15. 15.HCF of 304 and 224 =
  16. 16.HCF of 45 and 80 =
  17. 17.HCF of 255 and 210 =
  18. 18.HCF of 117 and 221 =
  19. 19.HCF of 75 and 45 =
  20. 20.HCF of 187 and 143 =
  21. 21.HCF of 161 and 253 =
  22. 22.HCF of 36 and 34 =
  23. 23.HCF of 38 and 14 =
  24. 24.HCF of 92 and 69 =
  25. 25.HCF of 340 and 140 =
  26. 26.HCF of 60 and 84 =
  27. 27.HCF of 28 and 119 =
  28. 28.HCF of 154 and 44 =
  29. 29.HCF of 33 and 24 =
  30. 30.HCF of 160 and 88 =
  31. 31.HCF of 170 and 60 =
  32. 32.HCF of 63 and 231 =
  33. 33.HCF of 56 and 72 =
  34. 34.HCF of 80 and 136 =
  35. 35.HCF of 30 and 18 =
  36. 36.HCF of 32 and 18 =
  37. 37.HCF of 168 and 357 =
  38. 38.HCF of 384 and 168 =
  39. 39.HCF of 99 and 90 =
  40. 40.HCF of 238 and 98 =

Answer key

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

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