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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 88 · 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 128 and 208 =
  2. 2.HCF of 27 and 45 =
  3. 3.HCF of 91 and 52 =
  4. 4.HCF of 21 and 18 =
  5. 5.HCF of 95 and 304 =
  6. 6.HCF of 150 and 140 =
  7. 7.HCF of 143 and 88 =
  8. 8.HCF of 133 and 28 =
  9. 9.HCF of 88 and 330 =
  10. 10.HCF of 26 and 169 =
  11. 11.HCF of 210 and 135 =
  12. 12.HCF of 44 and 76 =
  13. 13.HCF of 48 and 33 =
  14. 14.HCF of 91 and 156 =
  15. 15.HCF of 153 and 18 =
  16. 16.HCF of 399 and 315 =
  17. 17.HCF of 60 and 204 =
  18. 18.HCF of 51 and 119 =
  19. 19.HCF of 110 and 170 =
  20. 20.HCF of 30 and 75 =
  21. 21.HCF of 220 and 380 =
  22. 22.HCF of 187 and 110 =
  23. 23.HCF of 40 and 45 =
  24. 24.HCF of 50 and 35 =
  25. 25.HCF of 170 and 119 =
  26. 26.HCF of 361 and 323 =
  27. 27.HCF of 208 and 32 =
  28. 28.HCF of 88 and 32 =
  29. 29.HCF of 57 and 33 =
  30. 30.HCF of 171 and 45 =
  31. 31.HCF of 30 and 14 =
  32. 32.HCF of 114 and 95 =
  33. 33.HCF of 108 and 63 =
  34. 34.HCF of 168 and 147 =
  35. 35.HCF of 21 and 9 =
  36. 36.HCF of 15 and 27 =
  37. 37.HCF of 140 and 340 =
  38. 38.HCF of 8 and 12 =
  39. 39.HCF of 92 and 391 =
  40. 40.HCF of 40 and 15 =

Answer key

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

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