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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 415 · 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 96 =
  2. 2.HCF of 95 and 35 =
  3. 3.HCF of 57 and 18 =
  4. 4.HCF of 34 and 18 =
  5. 5.HCF of 345 and 322 =
  6. 6.HCF of 48 and 76 =
  7. 7.HCF of 64 and 20 =
  8. 8.HCF of 180 and 80 =
  9. 9.HCF of 60 and 192 =
  10. 10.HCF of 437 and 299 =
  11. 11.HCF of 112 and 80 =
  12. 12.HCF of 81 and 126 =
  13. 13.HCF of 180 and 156 =
  14. 14.HCF of 80 and 48 =
  15. 15.HCF of 299 and 391 =
  16. 16.HCF of 45 and 300 =
  17. 17.HCF of 63 and 273 =
  18. 18.HCF of 288 and 208 =
  19. 19.HCF of 91 and 39 =
  20. 20.HCF of 182 and 247 =
  21. 21.HCF of 144 and 228 =
  22. 22.HCF of 63 and 147 =
  23. 23.HCF of 200 and 220 =
  24. 24.HCF of 100 and 275 =
  25. 25.HCF of 18 and 28 =
  26. 26.HCF of 437 and 414 =
  27. 27.HCF of 95 and 209 =
  28. 28.HCF of 112 and 119 =
  29. 29.HCF of 340 and 323 =
  30. 30.HCF of 156 and 65 =
  31. 31.HCF of 34 and 26 =
  32. 32.HCF of 152 and 285 =
  33. 33.HCF of 63 and 35 =
  34. 34.HCF of 304 and 320 =
  35. 35.HCF of 84 and 63 =
  36. 36.HCF of 400 and 475 =
  37. 37.HCF of 340 and 260 =
  38. 38.HCF of 247 and 39 =
  39. 39.HCF of 70 and 21 =
  40. 40.HCF of 380 and 200 =

Answer key

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

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