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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 77 · 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 182 and 252 =
  2. 2.HCF of 357 and 84 =
  3. 3.HCF of 16 and 36 =
  4. 4.HCF of 45 and 6 =
  5. 5.HCF of 168 and 312 =
  6. 6.HCF of 306 and 324 =
  7. 7.HCF of 117 and 54 =
  8. 8.HCF of 176 and 242 =
  9. 9.HCF of 117 and 143 =
  10. 10.HCF of 35 and 56 =
  11. 11.HCF of 100 and 60 =
  12. 12.HCF of 38 and 34 =
  13. 13.HCF of 10 and 95 =
  14. 14.HCF of 162 and 153 =
  15. 15.HCF of 171 and 18 =
  16. 16.HCF of 325 and 125 =
  17. 17.HCF of 418 and 110 =
  18. 18.HCF of 21 and 28 =
  19. 19.HCF of 76 and 32 =
  20. 20.HCF of 204 and 180 =
  21. 21.HCF of 168 and 432 =
  22. 22.HCF of 54 and 42 =
  23. 23.HCF of 400 and 425 =
  24. 24.HCF of 20 and 28 =
  25. 25.HCF of 256 and 80 =
  26. 26.HCF of 192 and 176 =
  27. 27.HCF of 190 and 40 =
  28. 28.HCF of 374 and 242 =
  29. 29.HCF of 44 and 52 =
  30. 30.HCF of 80 and 30 =
  31. 31.HCF of 266 and 98 =
  32. 32.HCF of 375 and 50 =
  33. 33.HCF of 105 and 49 =
  34. 34.HCF of 30 and 114 =
  35. 35.HCF of 150 and 45 =
  36. 36.HCF of 126 and 56 =
  37. 37.HCF of 10 and 45 =
  38. 38.HCF of 115 and 391 =
  39. 39.HCF of 105 and 255 =
  40. 40.HCF of 119 and 153 =

Answer key

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

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