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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 620 · 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 195 =
  2. 2.HCF of 152 and 112 =
  3. 3.HCF of 49 and 91 =
  4. 4.HCF of 168 and 98 =
  5. 5.HCF of 45 and 10 =
  6. 6.HCF of 20 and 30 =
  7. 7.HCF of 154 and 70 =
  8. 8.HCF of 152 and 171 =
  9. 9.HCF of 38 and 30 =
  10. 10.HCF of 76 and 28 =
  11. 11.HCF of 336 and 63 =
  12. 12.HCF of 180 and 260 =
  13. 13.HCF of 70 and 120 =
  14. 14.HCF of 42 and 357 =
  15. 15.HCF of 140 and 400 =
  16. 16.HCF of 80 and 100 =
  17. 17.HCF of 50 and 80 =
  18. 18.HCF of 35 and 25 =
  19. 19.HCF of 289 and 221 =
  20. 20.HCF of 32 and 76 =
  21. 21.HCF of 46 and 161 =
  22. 22.HCF of 30 and 130 =
  23. 23.HCF of 286 and 66 =
  24. 24.HCF of 69 and 92 =
  25. 25.HCF of 51 and 221 =
  26. 26.HCF of 45 and 117 =
  27. 27.HCF of 112 and 182 =
  28. 28.HCF of 312 and 288 =
  29. 29.HCF of 8 and 44 =
  30. 30.HCF of 165 and 30 =
  31. 31.HCF of 132 and 110 =
  32. 32.HCF of 21 and 28 =
  33. 33.HCF of 135 and 36 =
  34. 34.HCF of 119 and 91 =
  35. 35.HCF of 40 and 60 =
  36. 36.HCF of 20 and 50 =
  37. 37.HCF of 121 and 88 =
  38. 38.HCF of 126 and 360 =
  39. 39.HCF of 135 and 18 =
  40. 40.HCF of 49 and 35 =

Answer key

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

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