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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 955 · 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 48 and 45 =
  2. 2.HCF of 20 and 55 =
  3. 3.HCF of 437 and 92 =
  4. 4.HCF of 138 and 115 =
  5. 5.HCF of 150 and 125 =
  6. 6.HCF of 39 and 169 =
  7. 7.HCF of 63 and 147 =
  8. 8.HCF of 24 and 22 =
  9. 9.HCF of 266 and 182 =
  10. 10.HCF of 126 and 238 =
  11. 11.HCF of 32 and 68 =
  12. 12.HCF of 44 and 40 =
  13. 13.HCF of 42 and 12 =
  14. 14.HCF of 80 and 140 =
  15. 15.HCF of 228 and 36 =
  16. 16.HCF of 80 and 100 =
  17. 17.HCF of 40 and 170 =
  18. 18.HCF of 456 and 432 =
  19. 19.HCF of 276 and 161 =
  20. 20.HCF of 18 and 20 =
  21. 21.HCF of 16 and 136 =
  22. 22.HCF of 75 and 255 =
  23. 23.HCF of 85 and 95 =
  24. 24.HCF of 28 and 44 =
  25. 25.HCF of 242 and 132 =
  26. 26.HCF of 75 and 350 =
  27. 27.HCF of 12 and 40 =
  28. 28.HCF of 45 and 39 =
  29. 29.HCF of 12 and 38 =
  30. 30.HCF of 96 and 304 =
  31. 31.HCF of 154 and 66 =
  32. 32.HCF of 50 and 180 =
  33. 33.HCF of 288 and 264 =
  34. 34.HCF of 76 and 8 =
  35. 35.HCF of 230 and 253 =
  36. 36.HCF of 180 and 70 =
  37. 37.HCF of 304 and 323 =
  38. 38.HCF of 432 and 456 =
  39. 39.HCF of 18 and 38 =
  40. 40.HCF of 42 and 77 =

Answer key

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

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