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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 392 · 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 165 and 240 =
  2. 2.HCF of 115 and 46 =
  3. 3.HCF of 323 and 133 =
  4. 4.HCF of 65 and 40 =
  5. 5.HCF of 40 and 220 =
  6. 6.HCF of 242 and 110 =
  7. 7.HCF of 200 and 30 =
  8. 8.HCF of 437 and 184 =
  9. 9.HCF of 48 and 160 =
  10. 10.HCF of 437 and 368 =
  11. 11.HCF of 325 and 175 =
  12. 12.HCF of 24 and 44 =
  13. 13.HCF of 408 and 120 =
  14. 14.HCF of 133 and 84 =
  15. 15.HCF of 198 and 234 =
  16. 16.HCF of 374 and 66 =
  17. 17.HCF of 138 and 115 =
  18. 18.HCF of 96 and 228 =
  19. 19.HCF of 90 and 66 =
  20. 20.HCF of 143 and 66 =
  21. 21.HCF of 130 and 100 =
  22. 22.HCF of 45 and 120 =
  23. 23.HCF of 35 and 21 =
  24. 24.HCF of 34 and 6 =
  25. 25.HCF of 85 and 60 =
  26. 26.HCF of 336 and 147 =
  27. 27.HCF of 437 and 69 =
  28. 28.HCF of 425 and 400 =
  29. 29.HCF of 98 and 126 =
  30. 30.HCF of 112 and 256 =
  31. 31.HCF of 42 and 96 =
  32. 32.HCF of 165 and 150 =
  33. 33.HCF of 204 and 192 =
  34. 34.HCF of 182 and 98 =
  35. 35.HCF of 224 and 80 =
  36. 36.HCF of 161 and 253 =
  37. 37.HCF of 35 and 55 =
  38. 38.HCF of 32 and 24 =
  39. 39.HCF of 28 and 98 =
  40. 40.HCF of 34 and 10 =

Answer key

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

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