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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 290 · 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 16 and 120 =
  2. 2.HCF of 50 and 15 =
  3. 3.HCF of 360 and 340 =
  4. 4.HCF of 208 and 32 =
  5. 5.HCF of 198 and 55 =
  6. 6.HCF of 42 and 102 =
  7. 7.HCF of 8 and 20 =
  8. 8.HCF of 72 and 99 =
  9. 9.HCF of 120 and 84 =
  10. 10.HCF of 100 and 220 =
  11. 11.HCF of 154 and 143 =
  12. 12.HCF of 143 and 77 =
  13. 13.HCF of 300 and 80 =
  14. 14.HCF of 130 and 70 =
  15. 15.HCF of 180 and 160 =
  16. 16.HCF of 63 and 147 =
  17. 17.HCF of 14 and 30 =
  18. 18.HCF of 34 and 38 =
  19. 19.HCF of 240 and 456 =
  20. 20.HCF of 272 and 288 =
  21. 21.HCF of 48 and 9 =
  22. 22.HCF of 36 and 54 =
  23. 23.HCF of 286 and 374 =
  24. 24.HCF of 361 and 133 =
  25. 25.HCF of 72 and 168 =
  26. 26.HCF of 16 and 20 =
  27. 27.HCF of 119 and 21 =
  28. 28.HCF of 60 and 32 =
  29. 29.HCF of 176 and 304 =
  30. 30.HCF of 240 and 285 =
  31. 31.HCF of 266 and 42 =
  32. 32.HCF of 68 and 28 =
  33. 33.HCF of 144 and 162 =
  34. 34.HCF of 75 and 10 =
  35. 35.HCF of 165 and 270 =
  36. 36.HCF of 40 and 72 =
  37. 37.HCF of 40 and 16 =
  38. 38.HCF of 40 and 72 =
  39. 39.HCF of 55 and 198 =
  40. 40.HCF of 280 and 42 =

Answer key

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

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