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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 212 · 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 117 and 54 =
  2. 2.HCF of 32 and 48 =
  3. 3.HCF of 144 and 45 =
  4. 4.HCF of 286 and 132 =
  5. 5.HCF of 40 and 100 =
  6. 6.HCF of 252 and 182 =
  7. 7.HCF of 91 and 14 =
  8. 8.HCF of 66 and 24 =
  9. 9.HCF of 9 and 51 =
  10. 10.HCF of 192 and 120 =
  11. 11.HCF of 52 and 24 =
  12. 12.HCF of 126 and 180 =
  13. 13.HCF of 306 and 180 =
  14. 14.HCF of 80 and 300 =
  15. 15.HCF of 92 and 253 =
  16. 16.HCF of 57 and 18 =
  17. 17.HCF of 270 and 342 =
  18. 18.HCF of 110 and 418 =
  19. 19.HCF of 147 and 105 =
  20. 20.HCF of 90 and 75 =
  21. 21.HCF of 425 and 400 =
  22. 22.HCF of 160 and 136 =
  23. 23.HCF of 323 and 76 =
  24. 24.HCF of 80 and 136 =
  25. 25.HCF of 56 and 35 =
  26. 26.HCF of 22 and 16 =
  27. 27.HCF of 35 and 80 =
  28. 28.HCF of 286 and 198 =
  29. 29.HCF of 192 and 108 =
  30. 30.HCF of 252 and 98 =
  31. 31.HCF of 228 and 323 =
  32. 32.HCF of 420 and 399 =
  33. 33.HCF of 40 and 300 =
  34. 34.HCF of 250 and 425 =
  35. 35.HCF of 342 and 36 =
  36. 36.HCF of 95 and 323 =
  37. 37.HCF of 120 and 112 =
  38. 38.HCF of 32 and 10 =
  39. 39.HCF of 16 and 52 =
  40. 40.HCF of 64 and 12 =

Answer key

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

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