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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 547 · 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 264 and 418 =
  2. 2.HCF of 180 and 195 =
  3. 3.HCF of 84 and 35 =
  4. 4.HCF of 64 and 12 =
  5. 5.HCF of 374 and 44 =
  6. 6.HCF of 65 and 10 =
  7. 7.HCF of 12 and 57 =
  8. 8.HCF of 140 and 30 =
  9. 9.HCF of 96 and 104 =
  10. 10.HCF of 48 and 60 =
  11. 11.HCF of 96 and 84 =
  12. 12.HCF of 55 and 20 =
  13. 13.HCF of 16 and 104 =
  14. 14.HCF of 18 and 4 =
  15. 15.HCF of 180 and 380 =
  16. 16.HCF of 18 and 27 =
  17. 17.HCF of 56 and 152 =
  18. 18.HCF of 51 and 12 =
  19. 19.HCF of 104 and 96 =
  20. 20.HCF of 30 and 50 =
  21. 21.HCF of 165 and 143 =
  22. 22.HCF of 51 and 187 =
  23. 23.HCF of 176 and 209 =
  24. 24.HCF of 55 and 187 =
  25. 25.HCF of 108 and 342 =
  26. 26.HCF of 75 and 180 =
  27. 27.HCF of 228 and 72 =
  28. 28.HCF of 40 and 52 =
  29. 29.HCF of 110 and 154 =
  30. 30.HCF of 399 and 420 =
  31. 31.HCF of 115 and 138 =
  32. 32.HCF of 117 and 169 =
  33. 33.HCF of 437 and 46 =
  34. 34.HCF of 304 and 208 =
  35. 35.HCF of 361 and 171 =
  36. 36.HCF of 69 and 184 =
  37. 37.HCF of 14 and 40 =
  38. 38.HCF of 28 and 49 =
  39. 39.HCF of 240 and 156 =
  40. 40.HCF of 22 and 32 =

Answer key

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

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