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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 892 · 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 120 and 84 =
  2. 2.HCF of 95 and 60 =
  3. 3.HCF of 91 and 126 =
  4. 4.HCF of 252 and 231 =
  5. 5.HCF of 289 and 68 =
  6. 6.HCF of 408 and 120 =
  7. 7.HCF of 224 and 98 =
  8. 8.HCF of 57 and 45 =
  9. 9.HCF of 33 and 24 =
  10. 10.HCF of 49 and 126 =
  11. 11.HCF of 170 and 20 =
  12. 12.HCF of 140 and 120 =
  13. 13.HCF of 182 and 247 =
  14. 14.HCF of 20 and 34 =
  15. 15.HCF of 76 and 68 =
  16. 16.HCF of 108 and 45 =
  17. 17.HCF of 380 and 133 =
  18. 18.HCF of 77 and 21 =
  19. 19.HCF of 126 and 182 =
  20. 20.HCF of 110 and 209 =
  21. 21.HCF of 357 and 294 =
  22. 22.HCF of 144 and 208 =
  23. 23.HCF of 85 and 45 =
  24. 24.HCF of 10 and 35 =
  25. 25.HCF of 44 and 16 =
  26. 26.HCF of 266 and 238 =
  27. 27.HCF of 300 and 380 =
  28. 28.HCF of 161 and 207 =
  29. 29.HCF of 95 and 50 =
  30. 30.HCF of 171 and 99 =
  31. 31.HCF of 45 and 54 =
  32. 32.HCF of 51 and 187 =
  33. 33.HCF of 35 and 25 =
  34. 34.HCF of 171 and 153 =
  35. 35.HCF of 161 and 115 =
  36. 36.HCF of 84 and 35 =
  37. 37.HCF of 30 and 24 =
  38. 38.HCF of 78 and 120 =
  39. 39.HCF of 322 and 69 =
  40. 40.HCF of 21 and 70 =

Answer key

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

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