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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 516 · 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 195 and 285 =
  2. 2.HCF of 182 and 221 =
  3. 3.HCF of 228 and 133 =
  4. 4.HCF of 264 and 480 =
  5. 5.HCF of 342 and 54 =
  6. 6.HCF of 48 and 18 =
  7. 7.HCF of 126 and 224 =
  8. 8.HCF of 96 and 208 =
  9. 9.HCF of 63 and 162 =
  10. 10.HCF of 182 and 238 =
  11. 11.HCF of 10 and 38 =
  12. 12.HCF of 255 and 105 =
  13. 13.HCF of 300 and 280 =
  14. 14.HCF of 14 and 16 =
  15. 15.HCF of 153 and 63 =
  16. 16.HCF of 255 and 300 =
  17. 17.HCF of 165 and 210 =
  18. 18.HCF of 110 and 40 =
  19. 19.HCF of 272 and 85 =
  20. 20.HCF of 27 and 12 =
  21. 21.HCF of 220 and 360 =
  22. 22.HCF of 33 and 121 =
  23. 23.HCF of 30 and 21 =
  24. 24.HCF of 160 and 60 =
  25. 25.HCF of 91 and 260 =
  26. 26.HCF of 260 and 39 =
  27. 27.HCF of 21 and 14 =
  28. 28.HCF of 36 and 20 =
  29. 29.HCF of 100 and 60 =
  30. 30.HCF of 104 and 48 =
  31. 31.HCF of 96 and 112 =
  32. 32.HCF of 18 and 84 =
  33. 33.HCF of 50 and 120 =
  34. 34.HCF of 48 and 320 =
  35. 35.HCF of 153 and 18 =
  36. 36.HCF of 140 and 120 =
  37. 37.HCF of 36 and 192 =
  38. 38.HCF of 119 and 14 =
  39. 39.HCF of 247 and 234 =
  40. 40.HCF of 414 and 253 =

Answer key

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

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