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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 456 · 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 132 and 77 =
  2. 2.HCF of 30 and 18 =
  3. 3.HCF of 98 and 70 =
  4. 4.HCF of 33 and 48 =
  5. 5.HCF of 30 and 45 =
  6. 6.HCF of 76 and 20 =
  7. 7.HCF of 306 and 289 =
  8. 8.HCF of 272 and 320 =
  9. 9.HCF of 120 and 96 =
  10. 10.HCF of 288 and 176 =
  11. 11.HCF of 20 and 32 =
  12. 12.HCF of 76 and 40 =
  13. 13.HCF of 110 and 70 =
  14. 14.HCF of 76 and 68 =
  15. 15.HCF of 144 and 80 =
  16. 16.HCF of 272 and 192 =
  17. 17.HCF of 85 and 204 =
  18. 18.HCF of 247 and 52 =
  19. 19.HCF of 20 and 8 =
  20. 20.HCF of 54 and 99 =
  21. 21.HCF of 156 and 192 =
  22. 22.HCF of 38 and 26 =
  23. 23.HCF of 60 and 132 =
  24. 24.HCF of 152 and 64 =
  25. 25.HCF of 306 and 90 =
  26. 26.HCF of 110 and 99 =
  27. 27.HCF of 88 and 198 =
  28. 28.HCF of 114 and 12 =
  29. 29.HCF of 240 and 132 =
  30. 30.HCF of 69 and 46 =
  31. 31.HCF of 104 and 136 =
  32. 32.HCF of 80 and 96 =
  33. 33.HCF of 22 and 26 =
  34. 34.HCF of 161 and 138 =
  35. 35.HCF of 140 and 260 =
  36. 36.HCF of 44 and 60 =
  37. 37.HCF of 115 and 46 =
  38. 38.HCF of 45 and 99 =
  39. 39.HCF of 76 and 52 =
  40. 40.HCF of 204 and 24 =

Answer key

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

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