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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 758 · 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 224 and 208 =
  2. 2.HCF of 42 and 35 =
  3. 3.HCF of 352 and 110 =
  4. 4.HCF of 15 and 40 =
  5. 5.HCF of 156 and 24 =
  6. 6.HCF of 6 and 8 =
  7. 7.HCF of 189 and 42 =
  8. 8.HCF of 84 and 132 =
  9. 9.HCF of 200 and 340 =
  10. 10.HCF of 153 and 238 =
  11. 11.HCF of 96 and 132 =
  12. 12.HCF of 65 and 95 =
  13. 13.HCF of 154 and 440 =
  14. 14.HCF of 115 and 391 =
  15. 15.HCF of 90 and 117 =
  16. 16.HCF of 84 and 216 =
  17. 17.HCF of 288 and 54 =
  18. 18.HCF of 6 and 33 =
  19. 19.HCF of 20 and 28 =
  20. 20.HCF of 12 and 30 =
  21. 21.HCF of 42 and 27 =
  22. 22.HCF of 28 and 238 =
  23. 23.HCF of 16 and 22 =
  24. 24.HCF of 34 and 153 =
  25. 25.HCF of 340 and 120 =
  26. 26.HCF of 280 and 126 =
  27. 27.HCF of 210 and 195 =
  28. 28.HCF of 32 and 152 =
  29. 29.HCF of 228 and 24 =
  30. 30.HCF of 238 and 221 =
  31. 31.HCF of 96 and 272 =
  32. 32.HCF of 400 and 325 =
  33. 33.HCF of 266 and 112 =
  34. 34.HCF of 153 and 117 =
  35. 35.HCF of 104 and 91 =
  36. 36.HCF of 30 and 14 =
  37. 37.HCF of 320 and 220 =
  38. 38.HCF of 66 and 54 =
  39. 39.HCF of 96 and 456 =
  40. 40.HCF of 57 and 30 =

Answer key

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

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