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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 610 · 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 400 and 340 =
  2. 2.HCF of 112 and 208 =
  3. 3.HCF of 14 and 91 =
  4. 4.HCF of 256 and 272 =
  5. 5.HCF of 16 and 20 =
  6. 6.HCF of 161 and 115 =
  7. 7.HCF of 408 and 264 =
  8. 8.HCF of 30 and 34 =
  9. 9.HCF of 39 and 221 =
  10. 10.HCF of 46 and 207 =
  11. 11.HCF of 42 and 96 =
  12. 12.HCF of 105 and 30 =
  13. 13.HCF of 132 and 228 =
  14. 14.HCF of 95 and 40 =
  15. 15.HCF of 275 and 75 =
  16. 16.HCF of 80 and 76 =
  17. 17.HCF of 266 and 57 =
  18. 18.HCF of 104 and 40 =
  19. 19.HCF of 288 and 208 =
  20. 20.HCF of 20 and 64 =
  21. 21.HCF of 88 and 96 =
  22. 22.HCF of 234 and 54 =
  23. 23.HCF of 189 and 231 =
  24. 24.HCF of 16 and 22 =
  25. 25.HCF of 117 and 104 =
  26. 26.HCF of 150 and 325 =
  27. 27.HCF of 36 and 114 =
  28. 28.HCF of 456 and 168 =
  29. 29.HCF of 437 and 322 =
  30. 30.HCF of 221 and 340 =
  31. 31.HCF of 360 and 342 =
  32. 32.HCF of 77 and 112 =
  33. 33.HCF of 56 and 152 =
  34. 34.HCF of 110 and 44 =
  35. 35.HCF of 132 and 374 =
  36. 36.HCF of 72 and 42 =
  37. 37.HCF of 280 and 266 =
  38. 38.HCF of 50 and 325 =
  39. 39.HCF of 336 and 357 =
  40. 40.HCF of 57 and 6 =

Answer key

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

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