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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 959 · 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 36 and 39 =
  2. 2.HCF of 33 and 6 =
  3. 3.HCF of 272 and 112 =
  4. 4.HCF of 104 and 16 =
  5. 5.HCF of 75 and 195 =
  6. 6.HCF of 154 and 168 =
  7. 7.HCF of 120 and 340 =
  8. 8.HCF of 475 and 100 =
  9. 9.HCF of 143 and 91 =
  10. 10.HCF of 57 and 266 =
  11. 11.HCF of 27 and 72 =
  12. 12.HCF of 169 and 260 =
  13. 13.HCF of 140 and 98 =
  14. 14.HCF of 81 and 99 =
  15. 15.HCF of 95 and 342 =
  16. 16.HCF of 85 and 204 =
  17. 17.HCF of 176 and 55 =
  18. 18.HCF of 84 and 133 =
  19. 19.HCF of 140 and 126 =
  20. 20.HCF of 52 and 28 =
  21. 21.HCF of 192 and 204 =
  22. 22.HCF of 156 and 132 =
  23. 23.HCF of 35 and 49 =
  24. 24.HCF of 138 and 391 =
  25. 25.HCF of 42 and 189 =
  26. 26.HCF of 25 and 35 =
  27. 27.HCF of 54 and 48 =
  28. 28.HCF of 384 and 120 =
  29. 29.HCF of 115 and 46 =
  30. 30.HCF of 143 and 260 =
  31. 31.HCF of 57 and 21 =
  32. 32.HCF of 315 and 168 =
  33. 33.HCF of 98 and 112 =
  34. 34.HCF of 418 and 132 =
  35. 35.HCF of 228 and 36 =
  36. 36.HCF of 104 and 40 =
  37. 37.HCF of 24 and 128 =
  38. 38.HCF of 80 and 104 =
  39. 39.HCF of 128 and 240 =
  40. 40.HCF of 60 and 144 =

Answer key

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

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