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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 141 · 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 156 and 72 =
  2. 2.HCF of 345 and 253 =
  3. 3.HCF of 63 and 18 =
  4. 4.HCF of 132 and 55 =
  5. 5.HCF of 140 and 133 =
  6. 6.HCF of 176 and 224 =
  7. 7.HCF of 40 and 48 =
  8. 8.HCF of 208 and 128 =
  9. 9.HCF of 132 and 77 =
  10. 10.HCF of 228 and 24 =
  11. 11.HCF of 234 and 288 =
  12. 12.HCF of 32 and 40 =
  13. 13.HCF of 60 and 228 =
  14. 14.HCF of 100 and 65 =
  15. 15.HCF of 264 and 288 =
  16. 16.HCF of 77 and 165 =
  17. 17.HCF of 360 and 140 =
  18. 18.HCF of 144 and 54 =
  19. 19.HCF of 98 and 28 =
  20. 20.HCF of 285 and 75 =
  21. 21.HCF of 187 and 88 =
  22. 22.HCF of 50 and 190 =
  23. 23.HCF of 95 and 35 =
  24. 24.HCF of 300 and 285 =
  25. 25.HCF of 51 and 15 =
  26. 26.HCF of 28 and 72 =
  27. 27.HCF of 90 and 144 =
  28. 28.HCF of 85 and 100 =
  29. 29.HCF of 220 and 40 =
  30. 30.HCF of 425 and 175 =
  31. 31.HCF of 140 and 60 =
  32. 32.HCF of 195 and 45 =
  33. 33.HCF of 98 and 266 =
  34. 34.HCF of 119 and 102 =
  35. 35.HCF of 225 and 50 =
  36. 36.HCF of 45 and 25 =
  37. 37.HCF of 33 and 15 =
  38. 38.HCF of 234 and 360 =
  39. 39.HCF of 90 and 99 =
  40. 40.HCF of 136 and 16 =

Answer key

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

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