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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 503 · 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 216 and 48 =
  2. 2.HCF of 28 and 266 =
  3. 3.HCF of 160 and 56 =
  4. 4.HCF of 35 and 30 =
  5. 5.HCF of 63 and 42 =
  6. 6.HCF of 108 and 45 =
  7. 7.HCF of 36 and 20 =
  8. 8.HCF of 380 and 40 =
  9. 9.HCF of 380 and 260 =
  10. 10.HCF of 48 and 228 =
  11. 11.HCF of 48 and 76 =
  12. 12.HCF of 60 and 50 =
  13. 13.HCF of 88 and 96 =
  14. 14.HCF of 247 and 78 =
  15. 15.HCF of 88 and 55 =
  16. 16.HCF of 55 and 33 =
  17. 17.HCF of 160 and 48 =
  18. 18.HCF of 20 and 85 =
  19. 19.HCF of 75 and 70 =
  20. 20.HCF of 238 and 182 =
  21. 21.HCF of 437 and 230 =
  22. 22.HCF of 144 and 342 =
  23. 23.HCF of 270 and 144 =
  24. 24.HCF of 52 and 32 =
  25. 25.HCF of 126 and 91 =
  26. 26.HCF of 240 and 45 =
  27. 27.HCF of 72 and 228 =
  28. 28.HCF of 54 and 252 =
  29. 29.HCF of 391 and 345 =
  30. 30.HCF of 30 and 66 =
  31. 31.HCF of 33 and 21 =
  32. 32.HCF of 304 and 171 =
  33. 33.HCF of 475 and 175 =
  34. 34.HCF of 168 and 231 =
  35. 35.HCF of 238 and 154 =
  36. 36.HCF of 375 and 100 =
  37. 37.HCF of 50 and 180 =
  38. 38.HCF of 120 and 110 =
  39. 39.HCF of 30 and 51 =
  40. 40.HCF of 63 and 45 =

Answer key

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

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