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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 923 · 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 75 and 180 =
  2. 2.HCF of 161 and 368 =
  3. 3.HCF of 182 and 70 =
  4. 4.HCF of 240 and 75 =
  5. 5.HCF of 88 and 55 =
  6. 6.HCF of 95 and 30 =
  7. 7.HCF of 100 and 260 =
  8. 8.HCF of 54 and 120 =
  9. 9.HCF of 391 and 253 =
  10. 10.HCF of 342 and 72 =
  11. 11.HCF of 34 and 187 =
  12. 12.HCF of 110 and 88 =
  13. 13.HCF of 20 and 30 =
  14. 14.HCF of 264 and 216 =
  15. 15.HCF of 340 and 220 =
  16. 16.HCF of 91 and 143 =
  17. 17.HCF of 72 and 96 =
  18. 18.HCF of 104 and 16 =
  19. 19.HCF of 294 and 189 =
  20. 20.HCF of 28 and 6 =
  21. 21.HCF of 171 and 209 =
  22. 22.HCF of 220 and 418 =
  23. 23.HCF of 306 and 198 =
  24. 24.HCF of 220 and 99 =
  25. 25.HCF of 384 and 264 =
  26. 26.HCF of 92 and 69 =
  27. 27.HCF of 171 and 18 =
  28. 28.HCF of 242 and 440 =
  29. 29.HCF of 6 and 15 =
  30. 30.HCF of 33 and 154 =
  31. 31.HCF of 48 and 152 =
  32. 32.HCF of 80 and 140 =
  33. 33.HCF of 50 and 130 =
  34. 34.HCF of 209 and 77 =
  35. 35.HCF of 33 and 12 =
  36. 36.HCF of 18 and 32 =
  37. 37.HCF of 32 and 18 =
  38. 38.HCF of 500 and 275 =
  39. 39.HCF of 100 and 240 =
  40. 40.HCF of 380 and 280 =

Answer key

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

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