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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 912 · 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 80 and 272 =
  2. 2.HCF of 95 and 90 =
  3. 3.HCF of 10 and 16 =
  4. 4.HCF of 55 and 100 =
  5. 5.HCF of 36 and 162 =
  6. 6.HCF of 238 and 280 =
  7. 7.HCF of 42 and 27 =
  8. 8.HCF of 160 and 190 =
  9. 9.HCF of 220 and 280 =
  10. 10.HCF of 140 and 90 =
  11. 11.HCF of 152 and 80 =
  12. 12.HCF of 26 and 18 =
  13. 13.HCF of 144 and 126 =
  14. 14.HCF of 28 and 16 =
  15. 15.HCF of 88 and 112 =
  16. 16.HCF of 105 and 75 =
  17. 17.HCF of 304 and 80 =
  18. 18.HCF of 72 and 204 =
  19. 19.HCF of 49 and 77 =
  20. 20.HCF of 408 and 360 =
  21. 21.HCF of 104 and 88 =
  22. 22.HCF of 84 and 108 =
  23. 23.HCF of 84 and 72 =
  24. 24.HCF of 90 and 36 =
  25. 25.HCF of 266 and 98 =
  26. 26.HCF of 162 and 117 =
  27. 27.HCF of 50 and 80 =
  28. 28.HCF of 60 and 80 =
  29. 29.HCF of 380 and 280 =
  30. 30.HCF of 30 and 65 =
  31. 31.HCF of 161 and 115 =
  32. 32.HCF of 32 and 76 =
  33. 33.HCF of 456 and 120 =
  34. 34.HCF of 35 and 112 =
  35. 35.HCF of 176 and 192 =
  36. 36.HCF of 85 and 30 =
  37. 37.HCF of 299 and 253 =
  38. 38.HCF of 187 and 221 =
  39. 39.HCF of 260 and 280 =
  40. 40.HCF of 264 and 312 =

Answer key

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

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