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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 910 · 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 176 and 112 =
  2. 2.HCF of 143 and 220 =
  3. 3.HCF of 80 and 220 =
  4. 4.HCF of 288 and 304 =
  5. 5.HCF of 96 and 152 =
  6. 6.HCF of 32 and 240 =
  7. 7.HCF of 68 and 8 =
  8. 8.HCF of 30 and 135 =
  9. 9.HCF of 14 and 30 =
  10. 10.HCF of 68 and 24 =
  11. 11.HCF of 54 and 126 =
  12. 12.HCF of 21 and 57 =
  13. 13.HCF of 20 and 85 =
  14. 14.HCF of 56 and 32 =
  15. 15.HCF of 48 and 176 =
  16. 16.HCF of 75 and 200 =
  17. 17.HCF of 8 and 28 =
  18. 18.HCF of 15 and 95 =
  19. 19.HCF of 250 and 75 =
  20. 20.HCF of 63 and 18 =
  21. 21.HCF of 161 and 138 =
  22. 22.HCF of 234 and 306 =
  23. 23.HCF of 160 and 260 =
  24. 24.HCF of 90 and 165 =
  25. 25.HCF of 165 and 120 =
  26. 26.HCF of 176 and 33 =
  27. 27.HCF of 30 and 57 =
  28. 28.HCF of 132 and 108 =
  29. 29.HCF of 231 and 378 =
  30. 30.HCF of 432 and 168 =
  31. 31.HCF of 21 and 28 =
  32. 32.HCF of 143 and 65 =
  33. 33.HCF of 198 and 306 =
  34. 34.HCF of 21 and 91 =
  35. 35.HCF of 8 and 20 =
  36. 36.HCF of 88 and 55 =
  37. 37.HCF of 84 and 49 =
  38. 38.HCF of 48 and 312 =
  39. 39.HCF of 22 and 36 =
  40. 40.HCF of 10 and 4 =

Answer key

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

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