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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 952 · 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 18 and 33 =
  2. 2.HCF of 91 and 195 =
  3. 3.HCF of 78 and 143 =
  4. 4.HCF of 209 and 323 =
  5. 5.HCF of 120 and 336 =
  6. 6.HCF of 21 and 51 =
  7. 7.HCF of 160 and 72 =
  8. 8.HCF of 54 and 234 =
  9. 9.HCF of 90 and 165 =
  10. 10.HCF of 18 and 84 =
  11. 11.HCF of 42 and 154 =
  12. 12.HCF of 36 and 40 =
  13. 13.HCF of 342 and 72 =
  14. 14.HCF of 15 and 50 =
  15. 15.HCF of 98 and 77 =
  16. 16.HCF of 24 and 16 =
  17. 17.HCF of 108 and 42 =
  18. 18.HCF of 45 and 240 =
  19. 19.HCF of 340 and 160 =
  20. 20.HCF of 108 and 114 =
  21. 21.HCF of 102 and 48 =
  22. 22.HCF of 168 and 266 =
  23. 23.HCF of 48 and 320 =
  24. 24.HCF of 361 and 133 =
  25. 25.HCF of 36 and 54 =
  26. 26.HCF of 345 and 299 =
  27. 27.HCF of 234 and 324 =
  28. 28.HCF of 242 and 286 =
  29. 29.HCF of 168 and 399 =
  30. 30.HCF of 255 and 323 =
  31. 31.HCF of 225 and 105 =
  32. 32.HCF of 270 and 75 =
  33. 33.HCF of 136 and 152 =
  34. 34.HCF of 264 and 432 =
  35. 35.HCF of 100 and 175 =
  36. 36.HCF of 165 and 88 =
  37. 37.HCF of 175 and 375 =
  38. 38.HCF of 99 and 55 =
  39. 39.HCF of 95 and 35 =
  40. 40.HCF of 312 and 168 =

Answer key

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

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