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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 704 · 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 54 and 252 =
  2. 2.HCF of 425 and 200 =
  3. 3.HCF of 57 and 76 =
  4. 4.HCF of 68 and 289 =
  5. 5.HCF of 368 and 345 =
  6. 6.HCF of 63 and 162 =
  7. 7.HCF of 266 and 70 =
  8. 8.HCF of 75 and 275 =
  9. 9.HCF of 99 and 108 =
  10. 10.HCF of 6 and 28 =
  11. 11.HCF of 196 and 238 =
  12. 12.HCF of 153 and 119 =
  13. 13.HCF of 115 and 368 =
  14. 14.HCF of 6 and 15 =
  15. 15.HCF of 16 and 120 =
  16. 16.HCF of 66 and 42 =
  17. 17.HCF of 48 and 120 =
  18. 18.HCF of 126 and 133 =
  19. 19.HCF of 55 and 65 =
  20. 20.HCF of 391 and 138 =
  21. 21.HCF of 96 and 120 =
  22. 22.HCF of 18 and 15 =
  23. 23.HCF of 63 and 108 =
  24. 24.HCF of 44 and 72 =
  25. 25.HCF of 374 and 440 =
  26. 26.HCF of 238 and 56 =
  27. 27.HCF of 176 and 55 =
  28. 28.HCF of 44 and 242 =
  29. 29.HCF of 147 and 63 =
  30. 30.HCF of 130 and 91 =
  31. 31.HCF of 26 and 8 =
  32. 32.HCF of 195 and 221 =
  33. 33.HCF of 170 and 150 =
  34. 34.HCF of 15 and 6 =
  35. 35.HCF of 162 and 63 =
  36. 36.HCF of 275 and 100 =
  37. 37.HCF of 36 and 102 =
  38. 38.HCF of 252 and 105 =
  39. 39.HCF of 42 and 112 =
  40. 40.HCF of 325 and 200 =

Answer key

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

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