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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 640 · 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 55 and 15 =
  2. 2.HCF of 84 and 24 =
  3. 3.HCF of 112 and 40 =
  4. 4.HCF of 220 and 418 =
  5. 5.HCF of 44 and 198 =
  6. 6.HCF of 112 and 266 =
  7. 7.HCF of 144 and 63 =
  8. 8.HCF of 65 and 143 =
  9. 9.HCF of 16 and 26 =
  10. 10.HCF of 140 and 266 =
  11. 11.HCF of 34 and 119 =
  12. 12.HCF of 85 and 289 =
  13. 13.HCF of 98 and 168 =
  14. 14.HCF of 21 and 98 =
  15. 15.HCF of 105 and 300 =
  16. 16.HCF of 90 and 35 =
  17. 17.HCF of 190 and 150 =
  18. 18.HCF of 247 and 304 =
  19. 19.HCF of 168 and 216 =
  20. 20.HCF of 28 and 98 =
  21. 21.HCF of 234 and 342 =
  22. 22.HCF of 250 and 175 =
  23. 23.HCF of 256 and 176 =
  24. 24.HCF of 126 and 54 =
  25. 25.HCF of 324 and 342 =
  26. 26.HCF of 345 and 46 =
  27. 27.HCF of 299 and 207 =
  28. 28.HCF of 32 and 176 =
  29. 29.HCF of 77 and 66 =
  30. 30.HCF of 91 and 260 =
  31. 31.HCF of 169 and 260 =
  32. 32.HCF of 171 and 361 =
  33. 33.HCF of 234 and 180 =
  34. 34.HCF of 14 and 10 =
  35. 35.HCF of 391 and 460 =
  36. 36.HCF of 289 and 272 =
  37. 37.HCF of 28 and 70 =
  38. 38.HCF of 221 and 260 =
  39. 39.HCF of 140 and 100 =
  40. 40.HCF of 110 and 33 =

Answer key

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

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