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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 964 · 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 253 and 69 =
  2. 2.HCF of 200 and 475 =
  3. 3.HCF of 180 and 63 =
  4. 4.HCF of 374 and 176 =
  5. 5.HCF of 255 and 150 =
  6. 6.HCF of 40 and 14 =
  7. 7.HCF of 45 and 60 =
  8. 8.HCF of 231 and 189 =
  9. 9.HCF of 210 and 224 =
  10. 10.HCF of 28 and 6 =
  11. 11.HCF of 299 and 414 =
  12. 12.HCF of 42 and 48 =
  13. 13.HCF of 20 and 44 =
  14. 14.HCF of 125 and 350 =
  15. 15.HCF of 117 and 65 =
  16. 16.HCF of 34 and 51 =
  17. 17.HCF of 238 and 42 =
  18. 18.HCF of 120 and 54 =
  19. 19.HCF of 100 and 380 =
  20. 20.HCF of 92 and 207 =
  21. 21.HCF of 280 and 260 =
  22. 22.HCF of 32 and 68 =
  23. 23.HCF of 300 and 380 =
  24. 24.HCF of 342 and 54 =
  25. 25.HCF of 6 and 32 =
  26. 26.HCF of 175 and 150 =
  27. 27.HCF of 143 and 52 =
  28. 28.HCF of 306 and 187 =
  29. 29.HCF of 54 and 360 =
  30. 30.HCF of 26 and 38 =
  31. 31.HCF of 28 and 20 =
  32. 32.HCF of 143 and 209 =
  33. 33.HCF of 240 and 128 =
  34. 34.HCF of 45 and 210 =
  35. 35.HCF of 36 and 168 =
  36. 36.HCF of 114 and 12 =
  37. 37.HCF of 114 and 72 =
  38. 38.HCF of 12 and 57 =
  39. 39.HCF of 289 and 272 =
  40. 40.HCF of 228 and 84 =

Answer key

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

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