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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 18 · 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 299 and 253 =
  2. 2.HCF of 32 and 112 =
  3. 3.HCF of 12 and 32 =
  4. 4.HCF of 84 and 54 =
  5. 5.HCF of 20 and 44 =
  6. 6.HCF of 270 and 306 =
  7. 7.HCF of 77 and 220 =
  8. 8.HCF of 57 and 6 =
  9. 9.HCF of 110 and 180 =
  10. 10.HCF of 72 and 136 =
  11. 11.HCF of 128 and 120 =
  12. 12.HCF of 115 and 437 =
  13. 13.HCF of 228 and 133 =
  14. 14.HCF of 108 and 63 =
  15. 15.HCF of 154 and 176 =
  16. 16.HCF of 95 and 75 =
  17. 17.HCF of 22 and 16 =
  18. 18.HCF of 160 and 140 =
  19. 19.HCF of 99 and 121 =
  20. 20.HCF of 60 and 64 =
  21. 21.HCF of 80 and 288 =
  22. 22.HCF of 378 and 273 =
  23. 23.HCF of 56 and 35 =
  24. 24.HCF of 475 and 200 =
  25. 25.HCF of 6 and 15 =
  26. 26.HCF of 171 and 72 =
  27. 27.HCF of 16 and 40 =
  28. 28.HCF of 345 and 46 =
  29. 29.HCF of 26 and 18 =
  30. 30.HCF of 198 and 342 =
  31. 31.HCF of 357 and 273 =
  32. 32.HCF of 152 and 323 =
  33. 33.HCF of 380 and 400 =
  34. 34.HCF of 55 and 20 =
  35. 35.HCF of 345 and 161 =
  36. 36.HCF of 380 and 320 =
  37. 37.HCF of 14 and 4 =
  38. 38.HCF of 418 and 198 =
  39. 39.HCF of 54 and 90 =
  40. 40.HCF of 20 and 16 =

Answer key

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

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