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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 813 · 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 24 and 21 =
  2. 2.HCF of 20 and 35 =
  3. 3.HCF of 120 and 285 =
  4. 4.HCF of 26 and 169 =
  5. 5.HCF of 34 and 323 =
  6. 6.HCF of 189 and 84 =
  7. 7.HCF of 77 and 132 =
  8. 8.HCF of 253 and 46 =
  9. 9.HCF of 42 and 63 =
  10. 10.HCF of 56 and 63 =
  11. 11.HCF of 70 and 196 =
  12. 12.HCF of 304 and 32 =
  13. 13.HCF of 289 and 255 =
  14. 14.HCF of 90 and 144 =
  15. 15.HCF of 44 and 20 =
  16. 16.HCF of 204 and 96 =
  17. 17.HCF of 77 and 126 =
  18. 18.HCF of 228 and 216 =
  19. 19.HCF of 16 and 12 =
  20. 20.HCF of 40 and 24 =
  21. 21.HCF of 77 and 99 =
  22. 22.HCF of 132 and 418 =
  23. 23.HCF of 60 and 140 =
  24. 24.HCF of 133 and 42 =
  25. 25.HCF of 224 and 238 =
  26. 26.HCF of 84 and 147 =
  27. 27.HCF of 323 and 204 =
  28. 28.HCF of 160 and 24 =
  29. 29.HCF of 119 and 204 =
  30. 30.HCF of 112 and 77 =
  31. 31.HCF of 162 and 36 =
  32. 32.HCF of 30 and 160 =
  33. 33.HCF of 114 and 42 =
  34. 34.HCF of 204 and 240 =
  35. 35.HCF of 176 and 320 =
  36. 36.HCF of 40 and 90 =
  37. 37.HCF of 8 and 10 =
  38. 38.HCF of 84 and 147 =
  39. 39.HCF of 450 and 325 =
  40. 40.HCF of 80 and 144 =

Answer key

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

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