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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 956 · 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 192 and 120 =
  2. 2.HCF of 175 and 375 =
  3. 3.HCF of 88 and 32 =
  4. 4.HCF of 91 and 14 =
  5. 5.HCF of 250 and 75 =
  6. 6.HCF of 51 and 27 =
  7. 7.HCF of 85 and 15 =
  8. 8.HCF of 98 and 56 =
  9. 9.HCF of 45 and 285 =
  10. 10.HCF of 165 and 300 =
  11. 11.HCF of 289 and 272 =
  12. 12.HCF of 52 and 247 =
  13. 13.HCF of 110 and 170 =
  14. 14.HCF of 28 and 49 =
  15. 15.HCF of 432 and 168 =
  16. 16.HCF of 272 and 208 =
  17. 17.HCF of 255 and 119 =
  18. 18.HCF of 39 and 221 =
  19. 19.HCF of 85 and 20 =
  20. 20.HCF of 24 and 20 =
  21. 21.HCF of 45 and 80 =
  22. 22.HCF of 456 and 432 =
  23. 23.HCF of 99 and 117 =
  24. 24.HCF of 399 and 420 =
  25. 25.HCF of 30 and 40 =
  26. 26.HCF of 52 and 221 =
  27. 27.HCF of 140 and 238 =
  28. 28.HCF of 144 and 27 =
  29. 29.HCF of 45 and 10 =
  30. 30.HCF of 340 and 300 =
  31. 31.HCF of 418 and 286 =
  32. 32.HCF of 63 and 144 =
  33. 33.HCF of 40 and 76 =
  34. 34.HCF of 300 and 80 =
  35. 35.HCF of 266 and 285 =
  36. 36.HCF of 30 and 55 =
  37. 37.HCF of 238 and 126 =
  38. 38.HCF of 49 and 42 =
  39. 39.HCF of 91 and 78 =
  40. 40.HCF of 275 and 450 =

Answer key

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

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