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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 227 · 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 132 and 55 =
  2. 2.HCF of 65 and 78 =
  3. 3.HCF of 78 and 36 =
  4. 4.HCF of 112 and 176 =
  5. 5.HCF of 38 and 361 =
  6. 6.HCF of 140 and 360 =
  7. 7.HCF of 375 and 100 =
  8. 8.HCF of 170 and 100 =
  9. 9.HCF of 176 and 144 =
  10. 10.HCF of 48 and 152 =
  11. 11.HCF of 175 and 375 =
  12. 12.HCF of 40 and 35 =
  13. 13.HCF of 204 and 132 =
  14. 14.HCF of 26 and 18 =
  15. 15.HCF of 110 and 154 =
  16. 16.HCF of 28 and 91 =
  17. 17.HCF of 198 and 306 =
  18. 18.HCF of 112 and 266 =
  19. 19.HCF of 72 and 171 =
  20. 20.HCF of 16 and 18 =
  21. 21.HCF of 18 and 63 =
  22. 22.HCF of 168 and 315 =
  23. 23.HCF of 140 and 100 =
  24. 24.HCF of 252 and 342 =
  25. 25.HCF of 357 and 252 =
  26. 26.HCF of 112 and 208 =
  27. 27.HCF of 208 and 272 =
  28. 28.HCF of 209 and 22 =
  29. 29.HCF of 30 and 75 =
  30. 30.HCF of 204 and 48 =
  31. 31.HCF of 39 and 33 =
  32. 32.HCF of 144 and 204 =
  33. 33.HCF of 160 and 30 =
  34. 34.HCF of 45 and 55 =
  35. 35.HCF of 30 and 20 =
  36. 36.HCF of 240 and 75 =
  37. 37.HCF of 105 and 45 =
  38. 38.HCF of 15 and 100 =
  39. 39.HCF of 99 and 220 =
  40. 40.HCF of 240 and 112 =

Answer key

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

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