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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 268 · 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 130 and 60 =
  2. 2.HCF of 312 and 72 =
  3. 3.HCF of 84 and 399 =
  4. 4.HCF of 266 and 209 =
  5. 5.HCF of 187 and 323 =
  6. 6.HCF of 44 and 165 =
  7. 7.HCF of 189 and 42 =
  8. 8.HCF of 6 and 20 =
  9. 9.HCF of 425 and 350 =
  10. 10.HCF of 190 and 40 =
  11. 11.HCF of 42 and 96 =
  12. 12.HCF of 112 and 98 =
  13. 13.HCF of 72 and 117 =
  14. 14.HCF of 234 and 65 =
  15. 15.HCF of 152 and 57 =
  16. 16.HCF of 90 and 35 =
  17. 17.HCF of 20 and 45 =
  18. 18.HCF of 110 and 44 =
  19. 19.HCF of 18 and 38 =
  20. 20.HCF of 48 and 108 =
  21. 21.HCF of 184 and 69 =
  22. 22.HCF of 36 and 80 =
  23. 23.HCF of 187 and 255 =
  24. 24.HCF of 209 and 33 =
  25. 25.HCF of 168 and 384 =
  26. 26.HCF of 85 and 50 =
  27. 27.HCF of 320 and 260 =
  28. 28.HCF of 154 and 132 =
  29. 29.HCF of 252 and 182 =
  30. 30.HCF of 120 and 225 =
  31. 31.HCF of 63 and 357 =
  32. 32.HCF of 119 and 221 =
  33. 33.HCF of 171 and 247 =
  34. 34.HCF of 294 and 105 =
  35. 35.HCF of 102 and 54 =
  36. 36.HCF of 12 and 16 =
  37. 37.HCF of 230 and 437 =
  38. 38.HCF of 144 and 228 =
  39. 39.HCF of 140 and 126 =
  40. 40.HCF of 24 and 56 =

Answer key

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

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