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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 965 · 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 100 and 260 =
  2. 2.HCF of 125 and 450 =
  3. 3.HCF of 190 and 120 =
  4. 4.HCF of 96 and 204 =
  5. 5.HCF of 68 and 44 =
  6. 6.HCF of 28 and 24 =
  7. 7.HCF of 27 and 153 =
  8. 8.HCF of 234 and 221 =
  9. 9.HCF of 345 and 161 =
  10. 10.HCF of 21 and 77 =
  11. 11.HCF of 323 and 114 =
  12. 12.HCF of 306 and 360 =
  13. 13.HCF of 408 and 456 =
  14. 14.HCF of 72 and 104 =
  15. 15.HCF of 126 and 154 =
  16. 16.HCF of 44 and 48 =
  17. 17.HCF of 91 and 105 =
  18. 18.HCF of 130 and 120 =
  19. 19.HCF of 195 and 169 =
  20. 20.HCF of 125 and 100 =
  21. 21.HCF of 264 and 168 =
  22. 22.HCF of 147 and 336 =
  23. 23.HCF of 44 and 121 =
  24. 24.HCF of 16 and 72 =
  25. 25.HCF of 70 and 25 =
  26. 26.HCF of 75 and 325 =
  27. 27.HCF of 288 and 112 =
  28. 28.HCF of 120 and 380 =
  29. 29.HCF of 154 and 88 =
  30. 30.HCF of 169 and 182 =
  31. 31.HCF of 266 and 95 =
  32. 32.HCF of 15 and 50 =
  33. 33.HCF of 171 and 45 =
  34. 34.HCF of 72 and 128 =
  35. 35.HCF of 98 and 140 =
  36. 36.HCF of 140 and 190 =
  37. 37.HCF of 65 and 50 =
  38. 38.HCF of 57 and 152 =
  39. 39.HCF of 112 and 77 =
  40. 40.HCF of 391 and 299 =

Answer key

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

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