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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 933 · 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 110 and 352 =
  2. 2.HCF of 27 and 72 =
  3. 3.HCF of 460 and 253 =
  4. 4.HCF of 76 and 285 =
  5. 5.HCF of 216 and 60 =
  6. 6.HCF of 32 and 56 =
  7. 7.HCF of 112 and 80 =
  8. 8.HCF of 360 and 342 =
  9. 9.HCF of 152 and 16 =
  10. 10.HCF of 255 and 135 =
  11. 11.HCF of 187 and 110 =
  12. 12.HCF of 133 and 35 =
  13. 13.HCF of 68 and 221 =
  14. 14.HCF of 21 and 77 =
  15. 15.HCF of 152 and 104 =
  16. 16.HCF of 84 and 182 =
  17. 17.HCF of 312 and 192 =
  18. 18.HCF of 34 and 22 =
  19. 19.HCF of 76 and 20 =
  20. 20.HCF of 176 and 110 =
  21. 21.HCF of 91 and 208 =
  22. 22.HCF of 95 and 20 =
  23. 23.HCF of 32 and 104 =
  24. 24.HCF of 247 and 195 =
  25. 25.HCF of 25 and 20 =
  26. 26.HCF of 80 and 220 =
  27. 27.HCF of 105 and 90 =
  28. 28.HCF of 55 and 44 =
  29. 29.HCF of 266 and 238 =
  30. 30.HCF of 133 and 56 =
  31. 31.HCF of 187 and 209 =
  32. 32.HCF of 323 and 342 =
  33. 33.HCF of 288 and 80 =
  34. 34.HCF of 120 and 456 =
  35. 35.HCF of 153 and 126 =
  36. 36.HCF of 96 and 228 =
  37. 37.HCF of 357 and 105 =
  38. 38.HCF of 182 and 169 =
  39. 39.HCF of 84 and 154 =
  40. 40.HCF of 264 and 72 =

Answer key

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

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