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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 473 · 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 32 and 40 =
  2. 2.HCF of 238 and 196 =
  3. 3.HCF of 255 and 75 =
  4. 4.HCF of 153 and 340 =
  5. 5.HCF of 270 and 75 =
  6. 6.HCF of 76 and 52 =
  7. 7.HCF of 88 and 16 =
  8. 8.HCF of 72 and 76 =
  9. 9.HCF of 63 and 56 =
  10. 10.HCF of 60 and 85 =
  11. 11.HCF of 60 and 192 =
  12. 12.HCF of 216 and 342 =
  13. 13.HCF of 104 and 39 =
  14. 14.HCF of 95 and 228 =
  15. 15.HCF of 120 and 70 =
  16. 16.HCF of 336 and 231 =
  17. 17.HCF of 475 and 425 =
  18. 18.HCF of 120 and 152 =
  19. 19.HCF of 12 and 68 =
  20. 20.HCF of 20 and 50 =
  21. 21.HCF of 312 and 480 =
  22. 22.HCF of 54 and 42 =
  23. 23.HCF of 100 and 160 =
  24. 24.HCF of 340 and 400 =
  25. 25.HCF of 34 and 20 =
  26. 26.HCF of 126 and 135 =
  27. 27.HCF of 285 and 152 =
  28. 28.HCF of 15 and 24 =
  29. 29.HCF of 360 and 54 =
  30. 30.HCF of 72 and 408 =
  31. 31.HCF of 35 and 42 =
  32. 32.HCF of 63 and 28 =
  33. 33.HCF of 130 and 117 =
  34. 34.HCF of 140 and 133 =
  35. 35.HCF of 171 and 72 =
  36. 36.HCF of 33 and 48 =
  37. 37.HCF of 115 and 46 =
  38. 38.HCF of 270 and 342 =
  39. 39.HCF of 224 and 154 =
  40. 40.HCF of 408 and 144 =

Answer key

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

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