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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 812 · 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 6 and 21 =
  2. 2.HCF of 119 and 63 =
  3. 3.HCF of 180 and 40 =
  4. 4.HCF of 391 and 253 =
  5. 5.HCF of 180 and 100 =
  6. 6.HCF of 288 and 456 =
  7. 7.HCF of 21 and 98 =
  8. 8.HCF of 132 and 55 =
  9. 9.HCF of 34 and 4 =
  10. 10.HCF of 60 and 105 =
  11. 11.HCF of 18 and 96 =
  12. 12.HCF of 56 and 80 =
  13. 13.HCF of 16 and 10 =
  14. 14.HCF of 162 and 171 =
  15. 15.HCF of 35 and 21 =
  16. 16.HCF of 68 and 289 =
  17. 17.HCF of 161 and 69 =
  18. 18.HCF of 75 and 125 =
  19. 19.HCF of 140 and 360 =
  20. 20.HCF of 33 and 176 =
  21. 21.HCF of 144 and 45 =
  22. 22.HCF of 20 and 56 =
  23. 23.HCF of 68 and 28 =
  24. 24.HCF of 264 and 72 =
  25. 25.HCF of 95 and 247 =
  26. 26.HCF of 50 and 70 =
  27. 27.HCF of 21 and 57 =
  28. 28.HCF of 63 and 180 =
  29. 29.HCF of 52 and 91 =
  30. 30.HCF of 96 and 114 =
  31. 31.HCF of 260 and 221 =
  32. 32.HCF of 176 and 99 =
  33. 33.HCF of 20 and 16 =
  34. 34.HCF of 28 and 80 =
  35. 35.HCF of 156 and 204 =
  36. 36.HCF of 325 and 275 =
  37. 37.HCF of 192 and 36 =
  38. 38.HCF of 312 and 192 =
  39. 39.HCF of 63 and 45 =
  40. 40.HCF of 147 and 336 =

Answer key

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

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