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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 300 · 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 77 and 44 =
  2. 2.HCF of 138 and 437 =
  3. 3.HCF of 195 and 135 =
  4. 4.HCF of 247 and 39 =
  5. 5.HCF of 16 and 104 =
  6. 6.HCF of 49 and 105 =
  7. 7.HCF of 57 and 304 =
  8. 8.HCF of 70 and 55 =
  9. 9.HCF of 36 and 204 =
  10. 10.HCF of 72 and 228 =
  11. 11.HCF of 169 and 65 =
  12. 12.HCF of 154 and 42 =
  13. 13.HCF of 133 and 28 =
  14. 14.HCF of 160 and 220 =
  15. 15.HCF of 180 and 220 =
  16. 16.HCF of 360 and 198 =
  17. 17.HCF of 27 and 60 =
  18. 18.HCF of 380 and 40 =
  19. 19.HCF of 30 and 12 =
  20. 20.HCF of 72 and 384 =
  21. 21.HCF of 242 and 374 =
  22. 22.HCF of 437 and 207 =
  23. 23.HCF of 272 and 80 =
  24. 24.HCF of 99 and 27 =
  25. 25.HCF of 66 and 72 =
  26. 26.HCF of 48 and 156 =
  27. 27.HCF of 70 and 160 =
  28. 28.HCF of 51 and 289 =
  29. 29.HCF of 28 and 10 =
  30. 30.HCF of 60 and 75 =
  31. 31.HCF of 15 and 57 =
  32. 32.HCF of 70 and 133 =
  33. 33.HCF of 357 and 420 =
  34. 34.HCF of 36 and 204 =
  35. 35.HCF of 320 and 380 =
  36. 36.HCF of 225 and 210 =
  37. 37.HCF of 190 and 200 =
  38. 38.HCF of 120 and 168 =
  39. 39.HCF of 99 and 77 =
  40. 40.HCF of 30 and 18 =

Answer key

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

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