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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 712 · 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 280 =
  2. 2.HCF of 45 and 75 =
  3. 3.HCF of 260 and 200 =
  4. 4.HCF of 30 and 8 =
  5. 5.HCF of 80 and 24 =
  6. 6.HCF of 104 and 80 =
  7. 7.HCF of 220 and 380 =
  8. 8.HCF of 12 and 52 =
  9. 9.HCF of 48 and 42 =
  10. 10.HCF of 312 and 120 =
  11. 11.HCF of 162 and 90 =
  12. 12.HCF of 112 and 304 =
  13. 13.HCF of 195 and 180 =
  14. 14.HCF of 140 and 180 =
  15. 15.HCF of 299 and 437 =
  16. 16.HCF of 286 and 374 =
  17. 17.HCF of 60 and 108 =
  18. 18.HCF of 209 and 114 =
  19. 19.HCF of 15 and 57 =
  20. 20.HCF of 250 and 425 =
  21. 21.HCF of 399 and 105 =
  22. 22.HCF of 60 and 57 =
  23. 23.HCF of 184 and 391 =
  24. 24.HCF of 33 and 12 =
  25. 25.HCF of 456 and 288 =
  26. 26.HCF of 44 and 8 =
  27. 27.HCF of 77 and 121 =
  28. 28.HCF of 85 and 323 =
  29. 29.HCF of 187 and 132 =
  30. 30.HCF of 192 and 228 =
  31. 31.HCF of 133 and 57 =
  32. 32.HCF of 51 and 170 =
  33. 33.HCF of 96 and 36 =
  34. 34.HCF of 24 and 27 =
  35. 35.HCF of 182 and 39 =
  36. 36.HCF of 38 and 323 =
  37. 37.HCF of 36 and 57 =
  38. 38.HCF of 108 and 96 =
  39. 39.HCF of 99 and 220 =
  40. 40.HCF of 171 and 266 =

Answer key

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

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