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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 827 · 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 175 =
  2. 2.HCF of 133 and 119 =
  3. 3.HCF of 260 and 247 =
  4. 4.HCF of 230 and 207 =
  5. 5.HCF of 63 and 56 =
  6. 6.HCF of 169 and 65 =
  7. 7.HCF of 102 and 36 =
  8. 8.HCF of 104 and 136 =
  9. 9.HCF of 160 and 136 =
  10. 10.HCF of 286 and 132 =
  11. 11.HCF of 375 and 50 =
  12. 12.HCF of 224 and 70 =
  13. 13.HCF of 208 and 112 =
  14. 14.HCF of 70 and 60 =
  15. 15.HCF of 80 and 95 =
  16. 16.HCF of 304 and 285 =
  17. 17.HCF of 42 and 36 =
  18. 18.HCF of 475 and 425 =
  19. 19.HCF of 414 and 115 =
  20. 20.HCF of 140 and 100 =
  21. 21.HCF of 198 and 90 =
  22. 22.HCF of 96 and 120 =
  23. 23.HCF of 60 and 48 =
  24. 24.HCF of 336 and 399 =
  25. 25.HCF of 52 and 44 =
  26. 26.HCF of 56 and 152 =
  27. 27.HCF of 115 and 184 =
  28. 28.HCF of 91 and 63 =
  29. 29.HCF of 30 and 48 =
  30. 30.HCF of 22 and 143 =
  31. 31.HCF of 4 and 10 =
  32. 32.HCF of 25 and 95 =
  33. 33.HCF of 44 and 121 =
  34. 34.HCF of 180 and 63 =
  35. 35.HCF of 76 and 24 =
  36. 36.HCF of 42 and 30 =
  37. 37.HCF of 350 and 75 =
  38. 38.HCF of 175 and 300 =
  39. 39.HCF of 378 and 357 =
  40. 40.HCF of 288 and 272 =

Answer key

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

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