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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 989 · 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 475 and 400 =
  2. 2.HCF of 136 and 40 =
  3. 3.HCF of 80 and 30 =
  4. 4.HCF of 170 and 50 =
  5. 5.HCF of 85 and 50 =
  6. 6.HCF of 115 and 391 =
  7. 7.HCF of 51 and 272 =
  8. 8.HCF of 144 and 156 =
  9. 9.HCF of 52 and 39 =
  10. 10.HCF of 133 and 209 =
  11. 11.HCF of 242 and 396 =
  12. 12.HCF of 418 and 44 =
  13. 13.HCF of 92 and 207 =
  14. 14.HCF of 323 and 304 =
  15. 15.HCF of 18 and 42 =
  16. 16.HCF of 126 and 198 =
  17. 17.HCF of 60 and 56 =
  18. 18.HCF of 161 and 299 =
  19. 19.HCF of 24 and 26 =
  20. 20.HCF of 77 and 56 =
  21. 21.HCF of 162 and 234 =
  22. 22.HCF of 72 and 54 =
  23. 23.HCF of 70 and 133 =
  24. 24.HCF of 88 and 24 =
  25. 25.HCF of 54 and 24 =
  26. 26.HCF of 55 and 80 =
  27. 27.HCF of 192 and 456 =
  28. 28.HCF of 85 and 68 =
  29. 29.HCF of 195 and 52 =
  30. 30.HCF of 136 and 104 =
  31. 31.HCF of 57 and 304 =
  32. 32.HCF of 39 and 130 =
  33. 33.HCF of 27 and 36 =
  34. 34.HCF of 169 and 78 =
  35. 35.HCF of 190 and 180 =
  36. 36.HCF of 72 and 480 =
  37. 37.HCF of 361 and 152 =
  38. 38.HCF of 360 and 162 =
  39. 39.HCF of 64 and 240 =
  40. 40.HCF of 384 and 168 =

Answer key

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

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