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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 978 · 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 144 and 88 =
  2. 2.HCF of 368 and 207 =
  3. 3.HCF of 54 and 114 =
  4. 4.HCF of 50 and 65 =
  5. 5.HCF of 342 and 360 =
  6. 6.HCF of 130 and 30 =
  7. 7.HCF of 21 and 39 =
  8. 8.HCF of 162 and 360 =
  9. 9.HCF of 6 and 33 =
  10. 10.HCF of 195 and 26 =
  11. 11.HCF of 66 and 54 =
  12. 12.HCF of 81 and 36 =
  13. 13.HCF of 72 and 204 =
  14. 14.HCF of 95 and 25 =
  15. 15.HCF of 90 and 200 =
  16. 16.HCF of 112 and 80 =
  17. 17.HCF of 456 and 120 =
  18. 18.HCF of 85 and 204 =
  19. 19.HCF of 28 and 105 =
  20. 20.HCF of 110 and 60 =
  21. 21.HCF of 162 and 252 =
  22. 22.HCF of 160 and 260 =
  23. 23.HCF of 198 and 90 =
  24. 24.HCF of 140 and 40 =
  25. 25.HCF of 176 and 96 =
  26. 26.HCF of 51 and 24 =
  27. 27.HCF of 143 and 52 =
  28. 28.HCF of 72 and 48 =
  29. 29.HCF of 169 and 26 =
  30. 30.HCF of 323 and 204 =
  31. 31.HCF of 266 and 196 =
  32. 32.HCF of 108 and 66 =
  33. 33.HCF of 85 and 187 =
  34. 34.HCF of 36 and 39 =
  35. 35.HCF of 100 and 130 =
  36. 36.HCF of 231 and 63 =
  37. 37.HCF of 128 and 104 =
  38. 38.HCF of 84 and 399 =
  39. 39.HCF of 120 and 88 =
  40. 40.HCF of 475 and 75 =

Answer key

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

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