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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 359 · 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 119 and 272 =
  2. 2.HCF of 20 and 65 =
  3. 3.HCF of 21 and 35 =
  4. 4.HCF of 192 and 176 =
  5. 5.HCF of 45 and 39 =
  6. 6.HCF of 60 and 25 =
  7. 7.HCF of 80 and 104 =
  8. 8.HCF of 126 and 90 =
  9. 9.HCF of 144 and 112 =
  10. 10.HCF of 143 and 88 =
  11. 11.HCF of 30 and 33 =
  12. 12.HCF of 286 and 44 =
  13. 13.HCF of 30 and 140 =
  14. 14.HCF of 57 and 9 =
  15. 15.HCF of 126 and 147 =
  16. 16.HCF of 308 and 374 =
  17. 17.HCF of 114 and 209 =
  18. 18.HCF of 56 and 105 =
  19. 19.HCF of 77 and 88 =
  20. 20.HCF of 272 and 48 =
  21. 21.HCF of 204 and 108 =
  22. 22.HCF of 399 and 420 =
  23. 23.HCF of 77 and 99 =
  24. 24.HCF of 34 and 6 =
  25. 25.HCF of 340 and 119 =
  26. 26.HCF of 91 and 39 =
  27. 27.HCF of 456 and 96 =
  28. 28.HCF of 130 and 117 =
  29. 29.HCF of 60 and 84 =
  30. 30.HCF of 78 and 221 =
  31. 31.HCF of 110 and 187 =
  32. 32.HCF of 60 and 33 =
  33. 33.HCF of 340 and 60 =
  34. 34.HCF of 108 and 120 =
  35. 35.HCF of 475 and 75 =
  36. 36.HCF of 391 and 437 =
  37. 37.HCF of 300 and 45 =
  38. 38.HCF of 256 and 208 =
  39. 39.HCF of 35 and 15 =
  40. 40.HCF of 60 and 55 =

Answer key

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

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