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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 55 · 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 35 and 112 =
  2. 2.HCF of 437 and 322 =
  3. 3.HCF of 55 and 33 =
  4. 4.HCF of 80 and 48 =
  5. 5.HCF of 18 and 30 =
  6. 6.HCF of 272 and 119 =
  7. 7.HCF of 90 and 35 =
  8. 8.HCF of 30 and 22 =
  9. 9.HCF of 260 and 91 =
  10. 10.HCF of 126 and 306 =
  11. 11.HCF of 361 and 114 =
  12. 12.HCF of 162 and 144 =
  13. 13.HCF of 28 and 26 =
  14. 14.HCF of 154 and 280 =
  15. 15.HCF of 65 and 45 =
  16. 16.HCF of 380 and 323 =
  17. 17.HCF of 425 and 175 =
  18. 18.HCF of 150 and 275 =
  19. 19.HCF of 39 and 36 =
  20. 20.HCF of 76 and 52 =
  21. 21.HCF of 154 and 187 =
  22. 22.HCF of 325 and 150 =
  23. 23.HCF of 340 and 280 =
  24. 24.HCF of 15 and 10 =
  25. 25.HCF of 500 and 175 =
  26. 26.HCF of 60 and 25 =
  27. 27.HCF of 289 and 51 =
  28. 28.HCF of 374 and 66 =
  29. 29.HCF of 84 and 266 =
  30. 30.HCF of 64 and 304 =
  31. 31.HCF of 153 and 90 =
  32. 32.HCF of 66 and 72 =
  33. 33.HCF of 216 and 234 =
  34. 34.HCF of 44 and 154 =
  35. 35.HCF of 440 and 286 =
  36. 36.HCF of 16 and 60 =
  37. 37.HCF of 138 and 253 =
  38. 38.HCF of 126 and 171 =
  39. 39.HCF of 72 and 192 =
  40. 40.HCF of 102 and 24 =

Answer key

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

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