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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 287 · 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 80 and 288 =
  2. 2.HCF of 91 and 28 =
  3. 3.HCF of 210 and 189 =
  4. 4.HCF of 125 and 50 =
  5. 5.HCF of 272 and 153 =
  6. 6.HCF of 30 and 130 =
  7. 7.HCF of 198 and 88 =
  8. 8.HCF of 144 and 456 =
  9. 9.HCF of 52 and 48 =
  10. 10.HCF of 40 and 380 =
  11. 11.HCF of 20 and 85 =
  12. 12.HCF of 52 and 48 =
  13. 13.HCF of 220 and 200 =
  14. 14.HCF of 15 and 48 =
  15. 15.HCF of 88 and 16 =
  16. 16.HCF of 192 and 180 =
  17. 17.HCF of 60 and 70 =
  18. 18.HCF of 54 and 198 =
  19. 19.HCF of 90 and 144 =
  20. 20.HCF of 20 and 28 =
  21. 21.HCF of 153 and 126 =
  22. 22.HCF of 260 and 247 =
  23. 23.HCF of 51 and 36 =
  24. 24.HCF of 22 and 77 =
  25. 25.HCF of 315 and 231 =
  26. 26.HCF of 54 and 153 =
  27. 27.HCF of 168 and 48 =
  28. 28.HCF of 325 and 250 =
  29. 29.HCF of 44 and 154 =
  30. 30.HCF of 238 and 266 =
  31. 31.HCF of 70 and 49 =
  32. 32.HCF of 408 and 312 =
  33. 33.HCF of 90 and 50 =
  34. 34.HCF of 221 and 272 =
  35. 35.HCF of 171 and 162 =
  36. 36.HCF of 28 and 30 =
  37. 37.HCF of 336 and 360 =
  38. 38.HCF of 152 and 247 =
  39. 39.HCF of 70 and 150 =
  40. 40.HCF of 40 and 30 =

Answer key

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

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