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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 164 · 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 72 and 456 =
  2. 2.HCF of 200 and 225 =
  3. 3.HCF of 26 and 12 =
  4. 4.HCF of 375 and 425 =
  5. 5.HCF of 289 and 102 =
  6. 6.HCF of 156 and 169 =
  7. 7.HCF of 210 and 196 =
  8. 8.HCF of 70 and 180 =
  9. 9.HCF of 16 and 30 =
  10. 10.HCF of 153 and 45 =
  11. 11.HCF of 36 and 117 =
  12. 12.HCF of 36 and 168 =
  13. 13.HCF of 112 and 104 =
  14. 14.HCF of 21 and 54 =
  15. 15.HCF of 15 and 100 =
  16. 16.HCF of 176 and 330 =
  17. 17.HCF of 88 and 144 =
  18. 18.HCF of 69 and 391 =
  19. 19.HCF of 21 and 24 =
  20. 20.HCF of 104 and 160 =
  21. 21.HCF of 60 and 51 =
  22. 22.HCF of 228 and 24 =
  23. 23.HCF of 42 and 273 =
  24. 24.HCF of 133 and 140 =
  25. 25.HCF of 48 and 39 =
  26. 26.HCF of 77 and 28 =
  27. 27.HCF of 144 and 90 =
  28. 28.HCF of 345 and 184 =
  29. 29.HCF of 45 and 126 =
  30. 30.HCF of 169 and 91 =
  31. 31.HCF of 418 and 110 =
  32. 32.HCF of 10 and 26 =
  33. 33.HCF of 91 and 98 =
  34. 34.HCF of 380 and 180 =
  35. 35.HCF of 304 and 32 =
  36. 36.HCF of 72 and 56 =
  37. 37.HCF of 276 and 391 =
  38. 38.HCF of 156 and 216 =
  39. 39.HCF of 340 and 280 =
  40. 40.HCF of 176 and 272 =

Answer key

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

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