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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 666 · 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 264 and 312 =
  2. 2.HCF of 162 and 234 =
  3. 3.HCF of 260 and 240 =
  4. 4.HCF of 50 and 45 =
  5. 5.HCF of 95 and 171 =
  6. 6.HCF of 143 and 33 =
  7. 7.HCF of 91 and 70 =
  8. 8.HCF of 63 and 140 =
  9. 9.HCF of 425 and 50 =
  10. 10.HCF of 84 and 144 =
  11. 11.HCF of 80 and 208 =
  12. 12.HCF of 40 and 180 =
  13. 13.HCF of 304 and 112 =
  14. 14.HCF of 65 and 182 =
  15. 15.HCF of 16 and 38 =
  16. 16.HCF of 80 and 12 =
  17. 17.HCF of 42 and 238 =
  18. 18.HCF of 200 and 75 =
  19. 19.HCF of 34 and 289 =
  20. 20.HCF of 342 and 209 =
  21. 21.HCF of 208 and 91 =
  22. 22.HCF of 39 and 45 =
  23. 23.HCF of 176 and 55 =
  24. 24.HCF of 39 and 36 =
  25. 25.HCF of 170 and 30 =
  26. 26.HCF of 299 and 345 =
  27. 27.HCF of 140 and 220 =
  28. 28.HCF of 114 and 66 =
  29. 29.HCF of 304 and 32 =
  30. 30.HCF of 16 and 152 =
  31. 31.HCF of 28 and 44 =
  32. 32.HCF of 25 and 85 =
  33. 33.HCF of 65 and 85 =
  34. 34.HCF of 77 and 14 =
  35. 35.HCF of 304 and 361 =
  36. 36.HCF of 108 and 153 =
  37. 37.HCF of 324 and 234 =
  38. 38.HCF of 272 and 320 =
  39. 39.HCF of 28 and 40 =
  40. 40.HCF of 180 and 48 =

Answer key

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

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