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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 423 · 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 247 and 221 =
  2. 2.HCF of 200 and 260 =
  3. 3.HCF of 90 and 85 =
  4. 4.HCF of 220 and 187 =
  5. 5.HCF of 84 and 48 =
  6. 6.HCF of 27 and 72 =
  7. 7.HCF of 84 and 96 =
  8. 8.HCF of 63 and 35 =
  9. 9.HCF of 255 and 165 =
  10. 10.HCF of 114 and 30 =
  11. 11.HCF of 108 and 42 =
  12. 12.HCF of 91 and 105 =
  13. 13.HCF of 264 and 374 =
  14. 14.HCF of 240 and 112 =
  15. 15.HCF of 80 and 36 =
  16. 16.HCF of 380 and 400 =
  17. 17.HCF of 48 and 120 =
  18. 18.HCF of 45 and 12 =
  19. 19.HCF of 306 and 144 =
  20. 20.HCF of 399 and 294 =
  21. 21.HCF of 391 and 46 =
  22. 22.HCF of 114 and 96 =
  23. 23.HCF of 150 and 175 =
  24. 24.HCF of 256 and 176 =
  25. 25.HCF of 187 and 323 =
  26. 26.HCF of 24 and 64 =
  27. 27.HCF of 56 and 98 =
  28. 28.HCF of 66 and 44 =
  29. 29.HCF of 480 and 312 =
  30. 30.HCF of 456 and 312 =
  31. 31.HCF of 399 and 294 =
  32. 32.HCF of 270 and 144 =
  33. 33.HCF of 96 and 30 =
  34. 34.HCF of 72 and 84 =
  35. 35.HCF of 44 and 52 =
  36. 36.HCF of 198 and 110 =
  37. 37.HCF of 175 and 400 =
  38. 38.HCF of 44 and 24 =
  39. 39.HCF of 64 and 80 =
  40. 40.HCF of 170 and 130 =

Answer key

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

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