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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 262 · 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 169 and 182 =
  2. 2.HCF of 144 and 88 =
  3. 3.HCF of 252 and 162 =
  4. 4.HCF of 152 and 56 =
  5. 5.HCF of 98 and 42 =
  6. 6.HCF of 16 and 152 =
  7. 7.HCF of 9 and 21 =
  8. 8.HCF of 44 and 48 =
  9. 9.HCF of 198 and 418 =
  10. 10.HCF of 21 and 24 =
  11. 11.HCF of 44 and 330 =
  12. 12.HCF of 102 and 30 =
  13. 13.HCF of 30 and 51 =
  14. 14.HCF of 50 and 80 =
  15. 15.HCF of 336 and 399 =
  16. 16.HCF of 374 and 220 =
  17. 17.HCF of 117 and 72 =
  18. 18.HCF of 105 and 75 =
  19. 19.HCF of 165 and 176 =
  20. 20.HCF of 220 and 240 =
  21. 21.HCF of 209 and 114 =
  22. 22.HCF of 99 and 55 =
  23. 23.HCF of 209 and 66 =
  24. 24.HCF of 36 and 21 =
  25. 25.HCF of 182 and 65 =
  26. 26.HCF of 192 and 84 =
  27. 27.HCF of 18 and 22 =
  28. 28.HCF of 119 and 170 =
  29. 29.HCF of 27 and 90 =
  30. 30.HCF of 90 and 25 =
  31. 31.HCF of 38 and 28 =
  32. 32.HCF of 312 and 264 =
  33. 33.HCF of 76 and 247 =
  34. 34.HCF of 60 and 200 =
  35. 35.HCF of 204 and 60 =
  36. 36.HCF of 225 and 195 =
  37. 37.HCF of 200 and 380 =
  38. 38.HCF of 198 and 88 =
  39. 39.HCF of 336 and 264 =
  40. 40.HCF of 91 and 117 =

Answer key

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

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