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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 381 · 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 340 and 80 =
  2. 2.HCF of 75 and 100 =
  3. 3.HCF of 231 and 63 =
  4. 4.HCF of 21 and 30 =
  5. 5.HCF of 114 and 66 =
  6. 6.HCF of 135 and 120 =
  7. 7.HCF of 400 and 180 =
  8. 8.HCF of 40 and 60 =
  9. 9.HCF of 260 and 220 =
  10. 10.HCF of 200 and 375 =
  11. 11.HCF of 16 and 22 =
  12. 12.HCF of 64 and 112 =
  13. 13.HCF of 56 and 12 =
  14. 14.HCF of 49 and 35 =
  15. 15.HCF of 16 and 22 =
  16. 16.HCF of 176 and 288 =
  17. 17.HCF of 228 and 133 =
  18. 18.HCF of 22 and 55 =
  19. 19.HCF of 100 and 90 =
  20. 20.HCF of 20 and 110 =
  21. 21.HCF of 42 and 224 =
  22. 22.HCF of 44 and 56 =
  23. 23.HCF of 96 and 112 =
  24. 24.HCF of 286 and 44 =
  25. 25.HCF of 14 and 35 =
  26. 26.HCF of 238 and 28 =
  27. 27.HCF of 66 and 96 =
  28. 28.HCF of 91 and 39 =
  29. 29.HCF of 72 and 312 =
  30. 30.HCF of 63 and 210 =
  31. 31.HCF of 300 and 40 =
  32. 32.HCF of 231 and 63 =
  33. 33.HCF of 76 and 40 =
  34. 34.HCF of 20 and 52 =
  35. 35.HCF of 50 and 40 =
  36. 36.HCF of 161 and 92 =
  37. 37.HCF of 49 and 35 =
  38. 38.HCF of 154 and 182 =
  39. 39.HCF of 72 and 30 =
  40. 40.HCF of 56 and 42 =

Answer key

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

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